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## use calculator

Find a percentage or calculate the percentage using numbers and percentages. Use percentage formulas to find percentages and unknowns in equations. Add or subtract a percentage of a number or solve equations.

## How to Calculate Percentages

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

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

- Finding P percent of X
- Find out what percentage of X is Y
- Find X se P percent for Y

Keep reading for more information on how to calculate percentages.

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

Example: How much 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 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
- S = 15
- 10% of 150 is 15
- Compare your answer to the original question: What is 10% of 150? Multiply 0.10 * 150 =
**quince**

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

Example: What percentage 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 is always in decimal form, not in percentage form. You need to multiply the result by 100 to get the percentage.
- Converting 0.20 to a percentage: 0.20 * 100 = 20%
- So 20% of 60 is 12.
- Compare your answer to the original question: What percentage of 60 is 12? 12/60 = 0.20 and multiply by 100 to get the percentage, 0.20 * 100 =
**20%**

## 3. How to find X when P percent 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 percentage to 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
- Compare your answer to the original question: 25 is 20% of what number? 25/0.20 =
**125**

### Remember: How to convert a percentage to a decimal

- Remove the percent 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 percent sign
- 0,876 = 0,876 * 100 = 87,6%

## percentage problems

There are nine variations of the three basic problems involving percentages. See if you can match your problem to one of the examples below. The problem formats correspond to 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 AND, which we want to solve
- Remember to first convert the percentage to decimal and divide by 100
- Solution: Solve for Y using the percentage formula

**Y = P% * X**

### Example: How much is 10% of 25?

- Written with the percentage formula:
**Y = 10% * 25** - First convert the percentage to a decimal 10/100 = 0.1
- Y = 0,1 * 25 = 2,5
- 10% of 25 is 2.5

### Y is what percentage of X?

- Written as an equation: Y = P% ? x
- The "what" is the P% we want to solve
- Divide both sides by X to get P% on one side of the equation
- Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the same as P% = Y ÷ X
- Solution: Solve for P% using the percentage formula

**P% = Y ÷ X**

### Example: 12 is what percentage of 40?

- Written according to the formula:
**P% = 12 ÷ 40** - P% = 12 ÷ 40 = 0,3
- Convert the decimal to a percentage
- P% = 0,3 × 100 = 30%
- so 12 is 30% of 40

### And it's P percent of what?

- Written as an equation: Y = P% * X
- The "what" is X that we want to solve
- Divide both sides by P% to get X on one side of the equation
- Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same as X = Y ÷ P%
- Solution: Solve for X using the percentage formula

**X = Y ÷ P%**

### Example: 9 is 60% of what?

- Written according to the formula:
**X = 9 ÷ 60%** - Convert percentage to decimal
- 60% ÷ 100 = 0,6
- X = 9 ÷ 0,6
- X = 15
- So 9 is 60% of 15.

### What percentage of X is Y?

- Written as an equation: P% * X = Y
- The "what" is the P% we want to solve
- Divide both sides by X to get P% on one side of the equation
- (P% * X) ÷ X = Y ÷ X becomes P% = Y ÷ X
- Solution: Solve for P% using the percentage formula

**P% = Y ÷ X**

### Example: What percentage of 27 is 6?

- Written according to the formula:
**P% = 6 ÷ 27** - 6 ÷ 27 = 0,2222
- convert decimals to percentage
- P% = 0,2222 × 100
- P% = 22,22%
- So 22.22% of 27 is 6

### P percent of what is Y?

- Written as an equation: P% × X = Y
- The "what" is X that we want to solve
- Divide both sides by P% to get X on one side of the equation
- (P% × X) ÷ P% = Y ÷ P% becomes X = Y ÷ P%
- Solution: Solve for X using the percentage formula

**X = Y ÷ P%**

### Example: 20% of what is 7?

- Written according to the formula:
**X = 7 ÷ 20%** - Convert the percentage to a decimal
- 20% ÷ 100 = 0,2
- X = 7 ÷ 0,2
- X = 35
- So 20% of 35 is 7.

### P percent of X is how much?

- Written as an equation: P% * X = Y
- The "what" is AND, which we want to solve
- Solution: Solve for Y using the percentage formula

**Y = P% * X**

### Example: 5% of 29 is how much?

- Written according to the formula:
**5% * 29 = J** - Convert the percentage to a decimal
- 5% ÷ 100 = 0,05
- Y = 0,05 * 29
- S = 1,45
- 5% of 29 is 1.45

### And what is P percent?

- Written as an equation: Y / X = P%
- The "what" is X that we want to solve
- Multiply both sides by X to get X from the denominator
- (Y / X) * X = P% * X becomes Y = P% * X
- Divide both sides by P% so that X is on one side of the equation
- Y ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X
- Solution: Solve for X using the percentage formula

**X = Y ÷ P%**

### Example: 4 of how much is 12%?

- Written according to the formula:
**X = 4 ÷ 12%** - Solve for X: X = Y ÷ P%
- Convert the percentage to a decimal
- 12% ÷ 100 = 0,12
- X = 4 ÷ 0,12
- X = 33,3333
- 4 of 33.3333 is 12%

### What of X is P percent?

- Written as an equation: Y / X = P%
- The "what" is AND, which we want to solve
- Multiply both sides by X to get Y on one side of the equation
- (Y ÷ X) * X = P% * X becomes Y = P% * X
- Solution: Solve for Y using the percentage formula

**Y = P% * X**

### Example: What out of 25 is 11%?

- Written according to the formula:
**Y = 11% * 25** - Convert the percentage to a decimal
- 11% ÷ 100 = 0,11
- Y = 0,11 * 25
- Y = 2,75
- So 2.75 out of 25 is 11%

### What percentage is Y of X?

- Written as an equation: Y / X = P%
- The "what" is the P% we want to solve
- Solution: Solve for P% using the percentage formula

**P% = Y / X**

### Example: 9 out of 13 is what percentage?

- Written according to the formula:
**P% = Y / X** - 9 ÷ 13 = P%
- 9 ÷ 13 = 0,6923
- Convert decimals to percentages by multiplying by 100
- 0,6923 * 100 = 69,23%
- 9 ÷ 13 = 69,23%
- So 9 out of 13 is 69.23%

## Related Calculators

Find the percentage change as an increase or decrease usingPercent Change Calculator.

Solve decimal percentage conversions with ourDecimal Calculator to Percentage.

Convert from percentage to decimal withpercent to decimal calculator.

If you need to convert between fractions and percentages, check out ourfraction to percentage calculator, or ourpercentage to fraction calculator.

## references

Weissstein, Eric W.”Percent." Von*math world*-- A Wolfram web resource.

**Cite this content, page or calculator as:**

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