What percent is 15 of 40

15 is what percent of 40?

= 37.5%

It's very common when learning about fractions to want to know how convert a fraction like 15/40 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!

Want to quickly learn or show students how to convert 15/40 to a percentage? Play this very quick and fun video now!

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 15/40 is 40, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 40 = 2.5

Once we have that, we can multiple both the numerator and denominator by this multiple:

15 x 2.5 / 40 x 2.5 = 37.5 / 100

Now we can see that our fraction is 37.5/100, which means that 15/40 as a percentage is 37.5%.

We can also work this out in a simpler way by first converting the fraction 15/40 to a decimal. To do that, we simply divide the numerator by the denominator:

15/40 = 0.375

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.375 x 100 = 37.5%

And there you have it! Two different ways to convert 15/40 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

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Fraction to Percentage Calculator

Next Fraction to Percentage Calculation

• What is 15/41 as a percentage?

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 15 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 37.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 15 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

15/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

15/40 × 100/100 = 37.5/100

37.5 = Percent

And that means you ended up eating 37.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 15

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 15

Step 3: Multiply both sides by 15 to isolate Y on the right side of the equation: 15 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 37.5 = Y

This leaves us with our final answer: 15 is 37.5 percent of 40

Page 2

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 5 cookies from those, and you ended up eating 24 of them! What percent of the cookies have you eaten?

Answer: 20.833 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 5 on top and 24 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

5/24 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

5/24 × 100/100 = 20.833/100

20.833 = Percent

And that means you ended up eating 20.833 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 24 = Y% / 5

Step 2: Drop the percentage marks to simplify your calculations: 100 / 24 = Y / 5

Step 3: Multiply both sides by 5 to isolate Y on the right side of the equation: 5 ( 100 / 24 ) = Y

Step 4: Computing the left side, we get: 20.833 = Y

This leaves us with our final answer: 5 is 20.833 percent of 24

Page 3

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 5 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 12.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 5 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

5/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

5/40 × 100/100 = 12.5/100

12.5 = Percent

And that means you ended up eating 12.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 5

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 5

Step 3: Multiply both sides by 5 to isolate Y on the right side of the equation: 5 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 12.5 = Y

This leaves us with our final answer: 5 is 12.5 percent of 40

Page 4

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 65 cookies from those, and you ended up eating 50 of them! What percent of the cookies have you eaten?

Answer: 130 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 65 on top and 50 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

65/50 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

65/50 × 100/100 = 130/100

130 = Percent

And that means you ended up eating 130 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 50 = Y% / 65

Step 2: Drop the percentage marks to simplify your calculations: 100 / 50 = Y / 65

Step 3: Multiply both sides by 65 to isolate Y on the right side of the equation: 65 ( 100 / 50 ) = Y

Step 4: Computing the left side, we get: 130 = Y

This leaves us with our final answer: 65 is 130 percent of 50

Page 5

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 64 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 160 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 64 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

64/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

64/40 × 100/100 = 160/100

160 = Percent

And that means you ended up eating 160 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 64

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 64

Step 3: Multiply both sides by 64 to isolate Y on the right side of the equation: 64 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 160 = Y

This leaves us with our final answer: 64 is 160 percent of 40

Page 6

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 14 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 35 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 14 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

14/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

14/40 × 100/100 = 35/100

35 = Percent

And that means you ended up eating 35 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 14

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 14

Step 3: Multiply both sides by 14 to isolate Y on the right side of the equation: 14 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 35 = Y

This leaves us with our final answer: 14 is 35 percent of 40

Page 7

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 13 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 32.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 13 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

13/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

13/40 × 100/100 = 32.5/100

32.5 = Percent

And that means you ended up eating 32.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 13

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 13

Step 3: Multiply both sides by 13 to isolate Y on the right side of the equation: 13 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 32.5 = Y

This leaves us with our final answer: 13 is 32.5 percent of 40

Page 8

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 21 cookies from those, and you ended up eating 42 of them! What percent of the cookies have you eaten?

Answer: 50 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 21 on top and 42 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

21/42 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

21/42 × 100/100 = 50/100

50 = Percent

And that means you ended up eating 50 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 42 = Y% / 21

Step 2: Drop the percentage marks to simplify your calculations: 100 / 42 = Y / 21

Step 3: Multiply both sides by 21 to isolate Y on the right side of the equation: 21 ( 100 / 42 ) = Y

Step 4: Computing the left side, we get: 50 = Y

This leaves us with our final answer: 21 is 50 percent of 42

Page 9

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 16 cookies from those, and you ended up eating 48 of them! What percent of the cookies have you eaten?

Answer: 33.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 16 on top and 48 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

16/48 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

16/48 × 100/100 = 33.333/100

33.333 = Percent

And that means you ended up eating 33.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 48 = Y% / 16

Step 2: Drop the percentage marks to simplify your calculations: 100 / 48 = Y / 16

Step 3: Multiply both sides by 16 to isolate Y on the right side of the equation: 16 ( 100 / 48 ) = Y

Step 4: Computing the left side, we get: 33.333 = Y

This leaves us with our final answer: 16 is 33.333 percent of 48

Page 10

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 36 cookies from those, and you ended up eating 80 of them! What percent of the cookies have you eaten?

Answer: 45 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 36 on top and 80 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

36/80 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

36/80 × 100/100 = 45/100

45 = Percent

And that means you ended up eating 45 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 80 = Y% / 36

Step 2: Drop the percentage marks to simplify your calculations: 100 / 80 = Y / 36

Step 3: Multiply both sides by 36 to isolate Y on the right side of the equation: 36 ( 100 / 80 ) = Y

Step 4: Computing the left side, we get: 45 = Y

This leaves us with our final answer: 36 is 45 percent of 80

Page 11

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 8 cookies from those, and you ended up eating 48 of them! What percent of the cookies have you eaten?

Answer: 16.667 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 8 on top and 48 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

8/48 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

8/48 × 100/100 = 16.667/100

16.667 = Percent

And that means you ended up eating 16.667 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 48 = Y% / 8

Step 2: Drop the percentage marks to simplify your calculations: 100 / 48 = Y / 8

Step 3: Multiply both sides by 8 to isolate Y on the right side of the equation: 8 ( 100 / 48 ) = Y

Step 4: Computing the left side, we get: 16.667 = Y

This leaves us with our final answer: 8 is 16.667 percent of 48

Page 12

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 15 cookies from those, and you ended up eating 48 of them! What percent of the cookies have you eaten?

Answer: 31.25 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 15 on top and 48 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

15/48 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

15/48 × 100/100 = 31.25/100

31.25 = Percent

And that means you ended up eating 31.25 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 48 = Y% / 15

Step 2: Drop the percentage marks to simplify your calculations: 100 / 48 = Y / 15

Step 3: Multiply both sides by 15 to isolate Y on the right side of the equation: 15 ( 100 / 48 ) = Y

Step 4: Computing the left side, we get: 31.25 = Y

This leaves us with our final answer: 15 is 31.25 percent of 48

Page 13

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 4 of them! What percent of the cookies have you eaten?

Answer: 300 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 4 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/4 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/4 × 100/100 = 300/100

300 = Percent

And that means you ended up eating 300 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 4 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 4 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 4 ) = Y

Step 4: Computing the left side, we get: 300 = Y

This leaves us with our final answer: 12 is 300 percent of 4

Page 14

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 19 cookies from those, and you ended up eating 54 of them! What percent of the cookies have you eaten?

Answer: 35.185 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 19 on top and 54 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

19/54 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

19/54 × 100/100 = 35.185/100

35.185 = Percent

And that means you ended up eating 35.185 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 54 = Y% / 19

Step 2: Drop the percentage marks to simplify your calculations: 100 / 54 = Y / 19

Step 3: Multiply both sides by 19 to isolate Y on the right side of the equation: 19 ( 100 / 54 ) = Y

Step 4: Computing the left side, we get: 35.185 = Y

This leaves us with our final answer: 19 is 35.185 percent of 54

Page 15

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 11 cookies from those, and you ended up eating 24 of them! What percent of the cookies have you eaten?

Answer: 45.833 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 11 on top and 24 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

11/24 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

11/24 × 100/100 = 45.833/100

45.833 = Percent

And that means you ended up eating 45.833 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 24 = Y% / 11

Step 2: Drop the percentage marks to simplify your calculations: 100 / 24 = Y / 11

Step 3: Multiply both sides by 11 to isolate Y on the right side of the equation: 11 ( 100 / 24 ) = Y

Step 4: Computing the left side, we get: 45.833 = Y

This leaves us with our final answer: 11 is 45.833 percent of 24

Page 16

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 51 cookies from those, and you ended up eating 340 of them! What percent of the cookies have you eaten?

Answer: 15 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 51 on top and 340 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

51/340 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

51/340 × 100/100 = 15/100

15 = Percent

And that means you ended up eating 15 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 340 = Y% / 51

Step 2: Drop the percentage marks to simplify your calculations: 100 / 340 = Y / 51

Step 3: Multiply both sides by 51 to isolate Y on the right side of the equation: 51 ( 100 / 340 ) = Y

Step 4: Computing the left side, we get: 15 = Y

This leaves us with our final answer: 51 is 15 percent of 340

Page 17

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 16 cookies from those, and you ended up eating 30 of them! What percent of the cookies have you eaten?

Answer: 53.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 16 on top and 30 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

16/30 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

16/30 × 100/100 = 53.333/100

53.333 = Percent

And that means you ended up eating 53.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 30 = Y% / 16

Step 2: Drop the percentage marks to simplify your calculations: 100 / 30 = Y / 16

Step 3: Multiply both sides by 16 to isolate Y on the right side of the equation: 16 ( 100 / 30 ) = Y

Step 4: Computing the left side, we get: 53.333 = Y

This leaves us with our final answer: 16 is 53.333 percent of 30

Page 18

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 28 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 70 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 28 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

28/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

28/40 × 100/100 = 70/100

70 = Percent

And that means you ended up eating 70 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 28

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 28

Step 3: Multiply both sides by 28 to isolate Y on the right side of the equation: 28 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 70 = Y

This leaves us with our final answer: 28 is 70 percent of 40

Page 19

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 42 cookies from those, and you ended up eating 140 of them! What percent of the cookies have you eaten?

Answer: 30 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 42 on top and 140 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

42/140 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

42/140 × 100/100 = 30/100

30 = Percent

And that means you ended up eating 30 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 140 = Y% / 42

Step 2: Drop the percentage marks to simplify your calculations: 100 / 140 = Y / 42

Step 3: Multiply both sides by 42 to isolate Y on the right side of the equation: 42 ( 100 / 140 ) = Y

Step 4: Computing the left side, we get: 30 = Y

This leaves us with our final answer: 42 is 30 percent of 140

Page 20

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 150 of them! What percent of the cookies have you eaten?

Answer: 8 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 150 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/150 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/150 × 100/100 = 8/100

8 = Percent

And that means you ended up eating 8 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 150 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 150 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 150 ) = Y

Step 4: Computing the left side, we get: 8 = Y

This leaves us with our final answer: 12 is 8 percent of 150

Page 21

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 17 cookies from those, and you ended up eating 50 of them! What percent of the cookies have you eaten?

Answer: 34 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 17 on top and 50 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

17/50 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

17/50 × 100/100 = 34/100

34 = Percent

And that means you ended up eating 34 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 50 = Y% / 17

Step 2: Drop the percentage marks to simplify your calculations: 100 / 50 = Y / 17

Step 3: Multiply both sides by 17 to isolate Y on the right side of the equation: 17 ( 100 / 50 ) = Y

Step 4: Computing the left side, we get: 34 = Y

This leaves us with our final answer: 17 is 34 percent of 50

Page 22

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 70 cookies from those, and you ended up eating 350 of them! What percent of the cookies have you eaten?

Answer: 20 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 70 on top and 350 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

70/350 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

70/350 × 100/100 = 20/100

20 = Percent

And that means you ended up eating 20 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 350 = Y% / 70

Step 2: Drop the percentage marks to simplify your calculations: 100 / 350 = Y / 70

Step 3: Multiply both sides by 70 to isolate Y on the right side of the equation: 70 ( 100 / 350 ) = Y

Step 4: Computing the left side, we get: 20 = Y

This leaves us with our final answer: 70 is 20 percent of 350

Page 23

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 28 cookies from those, and you ended up eating 30 of them! What percent of the cookies have you eaten?

Answer: 93.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 28 on top and 30 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

28/30 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

28/30 × 100/100 = 93.333/100

93.333 = Percent

And that means you ended up eating 93.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 30 = Y% / 28

Step 2: Drop the percentage marks to simplify your calculations: 100 / 30 = Y / 28

Step 3: Multiply both sides by 28 to isolate Y on the right side of the equation: 28 ( 100 / 30 ) = Y

Step 4: Computing the left side, we get: 93.333 = Y

This leaves us with our final answer: 28 is 93.333 percent of 30

Page 24

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 78 cookies from those, and you ended up eating 260 of them! What percent of the cookies have you eaten?

Answer: 30 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 78 on top and 260 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

78/260 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

78/260 × 100/100 = 30/100

30 = Percent

And that means you ended up eating 30 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 260 = Y% / 78

Step 2: Drop the percentage marks to simplify your calculations: 100 / 260 = Y / 78

Step 3: Multiply both sides by 78 to isolate Y on the right side of the equation: 78 ( 100 / 260 ) = Y

Step 4: Computing the left side, we get: 30 = Y

This leaves us with our final answer: 78 is 30 percent of 260

Page 25

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 17 cookies from those, and you ended up eating 200 of them! What percent of the cookies have you eaten?

Answer: 8.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 17 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

17/200 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

17/200 × 100/100 = 8.5/100

8.5 = Percent

And that means you ended up eating 8.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 17

Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 17

Step 3: Multiply both sides by 17 to isolate Y on the right side of the equation: 17 ( 100 / 200 ) = Y

Step 4: Computing the left side, we get: 8.5 = Y

This leaves us with our final answer: 17 is 8.5 percent of 200

Page 26

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 34 cookies from those, and you ended up eating 20 of them! What percent of the cookies have you eaten?

Answer: 170 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 34 on top and 20 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

34/20 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

34/20 × 100/100 = 170/100

170 = Percent

And that means you ended up eating 170 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 20 = Y% / 34

Step 2: Drop the percentage marks to simplify your calculations: 100 / 20 = Y / 34

Step 3: Multiply both sides by 34 to isolate Y on the right side of the equation: 34 ( 100 / 20 ) = Y

Step 4: Computing the left side, we get: 170 = Y

This leaves us with our final answer: 34 is 170 percent of 20