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Percentage Calculator

Find a percent of a number, percent change, percent difference and more, with the steps shown.

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Calculate a percentage

What is
%
of
?

The boxes start with an example. Change the numbers, then press Calculate.

Your answer

15% of 80 is
12
= 80 × 15 ÷ 100

15% of 80 is 12.

  • As a decimal0.1515% ÷ 100
  • As a fraction3/2015 ÷ 100, simplified
  • 80 plus 15%9280 + 12
  • 80 minus 15%6880 − 12

Calculation steps

  1. 15% of 80
  2. = 80 × 15 ÷ 100
  3. = 1,200 ÷ 100
  4. = 12

Formula used

Percentage of a number = (Number × Percentage) ÷ 100

Common percentages of 80

PercentOf 80
5%4
10%8
15%12
20%16
25%20
30%24
40%32
50%40
60%48
75%60
100%80

Percentage formulas

You wantFormulaExample
X% of YX ÷ 100 × Y15% of 80 = 12
X is what % of YX ÷ Y × 10012 of 80 = 15%
X is Y% of whatX ÷ (Y ÷ 100)12 is 15% of 80
% change from X to Y(Y − X) ÷ |X| × 10050 to 70 = +40%
% difference of X and Y|X − Y| ÷ ((X + Y) ÷ 2) × 10050 and 70 differ by 33.33%
X plus or minus Y%X × (1 ± Y ÷ 100)200 + 15% = 230
A fraction as a %Top ÷ Bottom × 1003/4 = 75%

Fractions and “out of” as a percent

FractionPercent
1/250%
1/333.33%
2/366.67%
1/425%
3/475%
1/520%
2/540%
3/560%
4/580%
1/616.67%
1/812.5%
3/837.5%
5/862.5%
7/887.5%
1/1010%
3/2150%
5/4125%
4 3/4475%
5 1/5520%
ScorePercent
16 out of 2080%
15 out of 2075%
12 out of 2060%
18 out of 2572%
42 out of 5084%
29.4 out of 4270%

Percent of common numbers

Number5%10%15%20%25%50%
100.511.522.55
201234510
502.557.51012.525
10051015202550
2001020304050100
25012.52537.55062.5125
500255075100125250
1,00050100150200250500

Where percentages are used

Change or difference?

  • Percent change compares a new value with an old one, so it has a direction: an increase or a decrease.
  • Percent difference compares two numbers when neither one is the original. The order does not matter.
  • Percentage points are not the same as percent: going from 10% to 12% is 2 percentage points, or a 20% increase.

What is included

  • Seven calculations in one place
  • The answer with the steps and the formula
  • Decimal, fraction, and plus or minus values
  • Tables of common percentages and fractions
  • Copy link and Print
  • Free, with no sign-up

Important to know

Answers are rounded for display (up to 2 decimal places for percents). A percent change from zero is not defined, and a percent of zero total cannot be found. Your numbers stay in your browser.

Use this free percentage calculator to find a percentage of a number, work out what percent one number is of another, find a whole from a part, and calculate percent change, percent difference, adding or subtracting a percent, and a fraction as a percent. You get the answer with the calculation steps and the formula, plus the decimal, the fraction and the plus and minus values. Tables of common percentages and fractions are underneath. It is free and instant, and your numbers stay in your browser.

What is a percentage?

A percentage is a way of writing a part of something out of 100. The word comes from “per cent”, meaning “out of a hundred”. So 15% means 15 out of every 100, or 15 ÷ 100 = 0.15. Percentages make it easy to compare things of different sizes, which is why they appear in discounts, taxes, test scores, interest rates and growth figures.

The formulas

X% of Y: X ÷ 100 × Y
X is what percent of Y: X ÷ Y × 100
X is Y% of what number: X ÷ (Y ÷ 100)
Percent change from X to Y: (Y − X) ÷ |X| × 100
Percent difference of X and Y: |X − Y| ÷ ((X + Y) ÷ 2) × 100
Add or subtract a percent: X × (1 ± Y ÷ 100)
A fraction as a percent: Top ÷ Bottom × 100

A percentage of a number

Divide the percentage by 100 and multiply by the number. 15% of 80 is 15 ÷ 100 × 80 = 12. A quick way to find 10% of any number is to move the decimal point one place to the left, so 10% of 80 is 8. Add 5% (half of that, 4) and you have 15%: 8 + 4 = 12.

What percent one number is of another

Divide the part by the whole and multiply by 100. 12 is 12 ÷ 80 × 100 = 15% of 80. A test score of 16 out of 20 is 16 ÷ 20 × 100 = 80%.

Finding the whole number

If you know a part and the percentage it makes up, divide the part by the percentage as a decimal. If 12 is 15% of a number, the number is 12 ÷ 0.15 = 80.

Percent change and percent difference

Percent change measures how far a value has moved from where it started. Going from 50 to 70 is (70 − 50) ÷ 50 × 100 = +40%, an increase. Going from 70 back to 50 is (50 − 70) ÷ 70 × 100 = −28.57%, a decrease. The two answers differ because each is measured against its own starting value.

Percent difference compares two numbers when neither is the original, so the order does not matter. It divides the gap by the average of the two numbers: 50 and 70 differ by 20 ÷ 60 × 100 = 33.33%.

Adding and subtracting a percentage

To add a percentage, multiply by 1 plus the percentage as a decimal. To subtract, multiply by 1 minus it. 200 plus 15% is 200 × 1.15 = 230, and 200 minus 15% is 200 × 0.85 = 170. This is how a price with a tax added, or a discount taken off, is worked out.

Fractions as percentages

Divide the top number by the bottom number and multiply by 100. 3/4 is 3 ÷ 4 × 100 = 75%. A mixed number such as 4 3/4 is 4.75, or 475%. A percentage can be more than 100% when the amount is larger than the whole you started with: 150% of 40 is 60.

Percent and percentage points

These are not the same. If an interest rate rises from 10% to 12%, it has gone up by 2 percentage points, but it has increased by 20% (2 ÷ 10 × 100).

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Frequently Asked Questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. For example, 15% of 80 is 15 ÷ 100 × 80 = 12.

How do I find what percent one number is of another?

Divide the first number by the second and multiply by 100. For example, 12 is 12 ÷ 80 × 100 = 15% of 80.

How do I find a number when I know its percentage?

Divide the part by the percentage written as a decimal. If 12 is 15% of a number, the number is 12 ÷ 0.15 = 80. Use the Of what number tab.

How do I calculate a percentage increase or decrease?

Subtract the old value from the new value, divide by the old value and multiply by 100. A positive answer is an increase and a negative answer is a decrease. Going from 50 to 70 is (70 − 50) ÷ 50 × 100 = +40%.

How do I calculate percentage difference?

Divide the gap between the two numbers by their average and multiply by 100. For 50 and 70 the gap is 20 and the average is 60, so the difference is 20 ÷ 60 × 100 = 33.33%.

What is the difference between percent change and percent difference?

Percent change measures how far a number has moved from a starting value, so it has a direction. Percent difference compares two numbers when neither is the original, so the order does not matter.

How do I add or subtract a percentage, such as tax or a discount?

To add a percentage, multiply the number by 1 plus the percentage divided by 100. To subtract, multiply by 1 minus it. For example, 200 with a 15% discount is 200 × 0.85 = 170.

How do I turn a fraction into a percent?

Divide the top number by the bottom number and multiply by 100. For example, 3/4 is 3 ÷ 4 × 100 = 75%. A mixed number such as 4 3/4 is 4.75, which is 475%.

What is 16 out of 20 as a percent?

16 ÷ 20 × 100 = 80%. Divide the score by the total and multiply by 100 to turn any "out of" score into a percent.

How do I find a percentage of a percentage?

Multiply the two as decimals. 20% of 50% is 0.20 × 0.50 = 0.10, which is 10%.

Can a percentage be more than 100%?

Yes. 150% of 40 is 60, and a price that doubles has increased by 100%. A percentage above 100% just means more than the whole amount you started with.

Why can't I calculate a percent change from zero?

The formula divides by the starting value, and dividing by zero is not possible. Any rise from zero is an infinite percentage, so the result is not defined.

What is the difference between percent and percentage points?

If a rate rises from 10% to 12%, it has gone up by 2 percentage points, but it has increased by 20% (2 ÷ 10 × 100).

How do I save, share or print my answer?

Press Copy link to copy an address that holds your numbers, or Print to print the answer. Anyone who opens the link sees the same calculation.

Are my numbers saved or shared?

No. The calculation happens in your browser, and the numbers you type are not stored or sent to any server.