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Percentage Calculator

Six percentage calculations in one place, and every answer shows the sum it came from. Nothing is sent anywhere.

  • Unlimited
  • No signup
  • Private
  • Works offline

Calculate a percentage

Enter two values to see the answer, the working, and all six related calculations.

A percent of a number

How this was calculated
amount = percent ÷ 100 × total
       = 15 ÷ 100 × 240
       = 0.15 × 240
       = 36

All six calculations, same numbers

Every percentage calculation for these two numbers
CalculationValuesResult
What is X% of Y?15% of 24036
X is what % of Y?36 of 24015%
Percentage change240 → 276+15%
Add / subtract %240 + 15%276
Percentage difference240 vs 27613.95%
Reverse percentage276 after +15%240

Amount

Increase of 36
Starting number
240
After the change
276
The difference
+36
As a multiplier
× 1.15
The way back
-13.04%
As a fraction
3/20
Relative size

How it works

  1. 01

    Pick the question

    Five of them: a percent of a number, what percent, a change, adding one on, or working back.

  2. 02

    Fill in the two boxes

    The answer updates as you type. There is no button to press first.

  3. 03

    Check the working

    The sum is written out step by step, and a table shows all six answers at once.

Worked examples

Percentages of a number, and percentage changes, worked out
QuestionAnswerChangeAnswer
20% of 45945 to 54+20%
15% of 60954 to 45-16.67%
12.5% of 801050 to 100+100%
150% of 4060100 to 50-50%

The two that catch everybody

A percentage is always a percentage of something, and the something changes as you go. That is the root of both mistakes below, and it is why the calculator prints the sum it used rather than only the answer.

First: the way back is not the same number. Going from 45 to 54 is a rise of 9 measured against 45, which is 20%. Coming back is a fall of the same 9 measured against 54, which is 16.67%. Both are correct. The change mode shows the return trip on its own line so the pair never surprises you.

Second: a discount and a markup of the same percent do not cancel. Take 20 off 100 with −20%, then add 20% back, and you land on 96 rather than 100. Taking off multiplies by 0.8, adding on multiplies by 1.2, and 0.8 times 1.2 is 0.96. You are 4% down, every time, whichever order you do it in.

One more worth naming, because newspapers get it wrong weekly. Percentage points are not percentages. A rate moving from 5% to 7% has risen 2 points, and it has also risen 40%, because 2 is 40% of 5. Neither figure is wrong. Saying which one you mean is the part that matters.

Per cent
Means per hundred. 20% is 20 per 100.
As a decimal
Divide by 100. So 20% is 0.2.
Not symmetric
45 to 54 is +20%. Back is −16.67%.
Points
5% to 7% is 2 points, and a 40% rise.

Frequently asked questions

How do I work out a percentage of a number?
Turn the percent into a decimal and multiply. 20% becomes 0.2, and 0.2 times 45 is 9. The tool shows that sum under the answer so you can check it.
Why is the change back not the same number?
Because the two changes are measured against different starting points. 45 to 54 is a rise of 9 on 45, which is 20%. Going back is a fall of 9 on 54, which is 16.67%. The tool prints both.
I took 20% off and added 20% back. Why am I short?
Because the second 20% is 20% of a smaller number. Taking off multiplies by 0.8 and adding on multiplies by 1.2, and 0.8 times 1.2 is 0.96. You end up 4% down every time.
What is the difference between per cent and percentage points?
Points compare two percentages directly. A rate going from 5% to 7% is up 2 points. It is also up 40%, because 2 is 40% of 5. Both are true, so say which one you mean.
How do I work out a tip or a discount?
Use the Add / subtract % tab. Type the bill, choose plus for a tip or minus for a discount, then the percent. The panel beside it says how much was added or taken off.
What is the difference between percentage change and percentage difference?
Change divides the gap by the number you started from, so it has a direction. Difference divides the gap by the average of the two, so the order does not matter. The table shows both.
How do I take VAT off a price?
Divide, do not subtract. To strip 20% VAT, divide by 1.2. The Reverse percentage tab does that from the price you already have, and shows the sum.
Can I use a percentage over 100?
Yes. 150% of 40 is 60, and a rise from 50 to 150 is 200%. Negative percents work too, and a negative percent of a number just flips the sign.
Why does it say there is no answer?
Because a couple of these questions have none. Nothing is a percentage of zero, and a rise from zero has no percentage either. The whole number is new, so no percentage can describe the rise.
How do I turn a percentage into a fraction?
Put it over 100 and cancel down. 20% is 20/100, which is 1/5. Whole percents get their fraction shown under the answer, since a fraction is easier to check in your head.
Is there a limit on calculations?
No. The sums run in your browser and have no daily or account limit.
Does this work without an internet connection?
Yes. Once the page has loaded, the sums run on your device without sending the numbers anywhere.

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