Percentage Calculator

Want to calculate some percentages? Cool, try this percentage calculator.


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is what percent of
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% of what?






What's the percentage change from
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About This Calculator

This calculator can calculate the answer to all your common percentage related questions. Specifically, it will calculate the following:

  • What is x % of y?
  • x is what percent of y?
  • x is y % of what?
  • What's the percentage change from x to y?
  • What's x increased/decreased by y %?

What is Percentage?

Percentage is just a way of showing the magnitude or frequency of one thing relative to another thing by reducing them both to parts per 100. "Percent" comes from the latin term "per centum," which means "for every hundred."

Let's say you've got 100 apples, and 20 of them are delicious but the other 80 are just okay. Then 20% of your apples are delicious while 80% are just okay.

Now, suppose you've got 50 apples and 30 of them are delicious while the other 20 are just okay. What percentage of your apples are delicious and what percentage are just okay? For this one, to get an answer in terms of percentages you need to think your way through it as follows:

If I had 100 apples instead of 50 apples, and the relative proportions of delicious apples to just okay apples remained the same, how many delicious apples would I have and how many just okay apples would I have?

The answer, of course, is that 60% of your apples are delicious (because 30 out of 50 is the same as 60 out of 100) and 40% of your apples are just okay (because 20 out of 50 is the same as 40 out of 100).


How to Calculate Percentages


What is x % of y?

Let's suppose you want to calculate 12% of 38. Remember that percent is just the number of one-hundredths of something. So, for example, 12% of 38 is 12 one-hundredths of 38, and you can calculate it as follows:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 1 2 x 3 4 = 3 8 x 34 55 100% = = x 61.8% 0.618 100% x 100 65 97 = = x 100 65 97 x 149.2 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase 100 - 25 100 8 = = x 6 0.75 8 x 100 + 38 100 27 = = x 37.26 1.38 27 x = = 4.56 0.12 38 x

x is what percent of y?

Okay, now suppose you want to calculate what 34 is as a percent of 55, here's how you would do it:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 = = 1 2 x 3 4 = 3 8 6 8 = 3 4 x 2 2 = 3 4 -2 -3 = 2 3 x -1 -1 = 2 3 2 -3 = 2 -3 x -1 -1 = -2 3 1 2 = 1 2 x 2 2 = 2 4 1 2 1 4 5 2 1 999 8 3 2 = 14 5 = 7993 999 = x 12 100 38 x 4.56 34 55 100% = = x 61.8% 0.618 100% x

x is y % of what?

Now imagine you want to calculate what 97 is 65% of? Here's how:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 1 2 x 3 4 = 3 8 x 34 55 100% = = x 61.8% 0.618 100% x 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase 100 - 25 100 8 = = x 6 0.75 8 x 100 + 38 100 27 = = x 37.26 1.38 27 x = = 4.56 0.12 38 x 65 100 97 x = = 149.2 1.538 97 x

What's the percentage change from x to y?

What's the percentage change from 12 to 15? When calculating percentage change you are going from an old number, in this case 12, to a new number, in this case 15. Subtract the old number from the new number and divide the result by the old number, then multiply by 100%. If your answer is positive then it's a percent increase, and if your answer is negative then it's a percent decrease. Here's what the calculation looks like:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 = = 1 2 x 3 4 = 3 8 -2 -3 = 2 3 x -1 -1 = 2 3 1 2 1 4 5 2 1 999 8 3 2 = 14 5 = 7993 999 = x 12 100 38 x 4.56 34 55 100% = = x 61.8% 0.618 100% x 100 65 97 = = x 100 65 97 x 149.2 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase

Let's do another example in which the answer is a percent decrease. What's the percentage change from 25 to 20? Here's what the calculation looks like:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 = = 1 2 x 3 4 = 3 8 -2 -3 = 2 3 x -1 -1 = 2 3 1 2 1 4 5 2 1 999 8 3 2 = 14 5 = 7993 999 = x 12 100 38 x 4.56 34 55 100% = = x 61.8% 0.618 100% x 100 65 97 = = x 100 65 97 x 149.2 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase

What's x increased/decreased by y %?

What's 8 decreased by 25%? Here's how to calculate it:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 = = 1 2 x 3 4 = 3 8 1 2 1 4 5 2 1 999 8 3 2 = 14 5 = 7993 999 = x 12 100 38 x 4.56 34 55 100% = = x 61.8% 0.618 100% x 100 65 97 = = x 100 65 97 x 149.2 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase 100 - 25 100 8 = = x 6 0.75 8 x

Or, what's 27 increased by 38%? Here's how to calculate it:

a c b a 2 + b 2 = c 2 a 2 + b 2 = c c 2 - b 2 = a c 2 - a 2 = b 12 100 38 = = 1 2 x 3 4 = 3 8 x 12 100 38 x 4.56 34 55 100% = = x 61.8% 0.618 100% x 100 65 97 = = x 100 65 97 x 149.2 15 - 12 12 100% = = x +25% 0.25 100% x 20 - 25 25 100% = = x -20% -0.2 100% x = 20% decrease = 25% increase 100 - 25 100 8 = = x 6 0.75 8 x 100 + 38 100 27 = = x 37.26 1.38 27 x