How do you find what percentage an amount is of another amount?

2. 95 out of 150?

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How to Calculate Percentages
1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X
Remember: How to convert a percentage to a decimal
Remember: How to convert a decimal to a percentage
Percentage Problems
Related Calculators

Solution(95/150) × 100Simplify the fraction and multiply by 100= (19/30) × 100= (19 × 100)/30= 1900/30reduce the fraction;

= 63 1/3 %

3. 22 of 44?

Solution(22/44) × 100Simplify the fraction;= (1/2) × 100= (1 × 100)/2= 100/2

= 50%

4. 30 of 150?

Solution(30/150) × 100Simplify the fraction;= (1/5) × 100= (1 × 100)/5

= 100/5 = 20%

5. 250 of 1200?

Solution(250/1200) × 100Cancel the numerator and denominator;= (5/24) × 100= (5 × 100)/24= 500/24 = 125/6

= 20 5/6 %

6. 86 of 2580?

Solution(86/2580) × 100simplify the fraction by cancelling;= (1/30) × 100= (1 × 100)/30= 100/30reduce the fraction;10/3

= 3 1/3 %

Example 2

A class has a total of 120 students. Calculate the percentage of girls if they are 60 of them?

Solution

Total number of students in the class = 120

Total number of girls = 60

Therefore, the percentage of girls is calculated as:

(60 × 100)/120

= 600/12 = 50

Hence, 50% of the students are girls.

Example 3

150 students are present in the school auditorium. If the number of boy and girls present in the hall is 80 and 70 respectively. Calculate the percentage of boys present in the auditorium?

Solution

Total number of students present in the auditorium = 150

Number of boys = 80

Percentage of boys = (80 x 100)/150

= 53.33%

A snack that weighs 40 g has 18 g of carbohydrates, 12 g of fat and 10 g of protein. What percentage of carbohydrates does the snack contain?

Carbohydrates are worth 18 g out of 40 g, which can be shown as \(\frac{18}{40}\).

To find \(\frac{18}{40}\) as a percentage, the denominator must be 100. This fraction has a denominator that will not easily multiply into 100, so a mid-step denominator must be made by finding a common factor of 40 and 100. 20 is a common factor of 40 and 100 (\(20 \times 2 = 40\) and \(20 \times 5 = 100\)) so write the fraction with a denominator of 20.

\(\frac{18}{40} = \frac{9}{20}\) (divide numerator and denominator by 2) = \(\frac{45}{100}\) (multiply numerator and denominator by 5)

So 18 g out of 40 g is 45%.

Alternatively, if using a calculator, \(\frac{18}{40}\) means \(18 \div 40\) which is 0.45 as a decimal. Convert this to a percentage by multiplying it by 100:

\[0.45 \times 100 = 45 \%\]

Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.

How to Calculate Percentages

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y

Read on to learn more about how to figure percentages.

1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
Converting 0.20 to a percent: 0.20 * 100 = 20%
So 20% of 60 is 12.
Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 25, P% is 20, so the equation is 25/20% = X
Convert the percentage to a decimal by dividing by 100.
Converting 20% to a decimal: 20/100 = 0.20
Substitute 0.20 for 20% in the equation: 25/0.20 = X
Do the math: 25/0.20 = X
X = 125
So 25 is 20% of 125
Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to convert a percentage to a decimal

Remove the percentage sign and divide by 100
15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and add a percentage sign
0.876 = 0.876 * 100 = 87.6%

Percentage Problems

There are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included.

Written as an equation: Y = P% * X
The 'what' is Y that we want to solve for
Remember to first convert percentage to decimal, dividing by 100
Solution: Solve for Y using the percentage formula
Y = P% * X