Choose: WHAT is P% of X? Y is WHAT percent of X? Y is P% of WHAT? WHAT % of X is Y? P% of WHAT is Y? P% of X is WHAT? Y out of WHAT is P%? WHAT out of X is P%? Y out of X is WHAT %? X plus P% is WHAT? X plus WHAT % is Y? WHAT plus P% is Y? X minus P% is WHAT? X minus WHAT % is Y? WHAT minus P% is Y?  ## Calculator Use

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.

You are watching: What percentage is 15 out of 20

## 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

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## 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.

### What is P percent of X?

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

### Example: What is 10% of 25?

Written using the percentage formula: Y = 10% * 25 First convert percentage to a decimal 10/100 = 0.1 Y = 0.1 * 25 = 2.5 So 10% of 25 is 2.5