Percentage Calculator

Two everyday percentage sums in one place: find what a percentage of a number is, or work out one number as a percentage of another. No sign-up, nothing to download – just type and calculate.

Percentage Calculator

What is X% of Y?

X is what percent of Y?

Want the method behind it? Read our guide: How to Calculate a Percentage of a Number

How to use the Percentage Calculator

  1. Decide which of the two questions you are asking: “What is X% of Y?” or “X is what percent of Y?” Each has its own box on the tool.
  2. For the first question, type the percentage in the “Percent (X)” box and the full amount in the “Of number (Y)” box, then press “Calculate”.
  3. For the second question, type the smaller part in the “Part (X)” box and the total it belongs to in the “Whole (Y)” box, then press “Calculate”.
  4. Read the answer sentence that appears under the box you used.

The formula

For the first question, the working is: result = X ÷ 100 × Y. In plain words, you turn the percentage into a decimal by dividing by 100, then multiply by the full amount. So 15% of any number is that number multiplied by 0.15.

For the second question, the working is: percentage = X ÷ Y × 100. You divide the part by the whole to get a decimal, then multiply by 100 to state it as a percentage. The part and the whole are the two inputs that matter most here — the whole is the total the part was taken from, such as the full marks on a test or the original price of an item.

Worked example

First question: what is 15% of 240? Enter 15 in the Percent box and 240 in the Of number box. The answer is 36, because 15 ÷ 100 = 0.15, and 0.15 × 240 = 36. This is the sum you would use for a 15% discount or a 15% tip on a bill of 240.

Second question: 45 is what percent of 180? Enter 45 as the Part and 180 as the Whole. The answer is 25%, because 45 ÷ 180 = 0.25, and 0.25 × 100 = 25. So 45 is exactly one quarter of 180.

Common mistakes

  • Swapping the part and the whole in the second box. The part goes first; the total it came from goes second.
  • Typing the decimal instead of the percentage. Enter 15 for 15%, not 0.15 — the tool divides by 100 for you.
  • Using the wrong whole. If a price dropped from 200 to 150, the “whole” for the drop is the original 200, not 150.
  • Expecting a percentage change answer from these two boxes. They give a share of a total, which is a different question from how much something has risen or fallen.

Frequently asked questions

Q: Can a percentage be more than 100%?

Yes. It simply means the part is bigger than the whole you are comparing it with. If a shop sells 250 tickets against a target of 200, it has reached 125% of its target.

Q: How do I find the price after a percentage discount?

Work out the discount amount with the first box, then take it away from the original price. A 15% discount on 240 is 36, so the price you pay is 240 − 36 = 204.

Q: What is the difference between percent and percentage points?

Percent is a share of a total. Percentage points describe the gap between two percentages — if a rate rises from 10% to 12%, that is a rise of 2 percentage points, even though it is a 20% rise relative to the original rate.

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