Percentage calculator

Four percentage calculations in one place: a percent of a number, what percent one number is of another, the change between two numbers, and adding or taking off a percent.

  • 100% free
  • Runs in your browser
  • No uploads
What do you want to work out?

Result

Fill in both numbers to see the answer.

How to use the percentage calculator

  1. Pick a calculation. Choose % of, What %, % change or +/− % at the top of the calculator.
  2. Type two numbers. You can use commas and decimals, like 1,250.50. The answer updates as you type.
  3. Read or copy the result. The calculator shows the answer, a sentence explaining it, and the formula it used.

Percentage formulas

QuestionFormulaExample
What is P% of X?P ÷ 100 × X15% of 60 = 9
A is what % of B?A ÷ B × 1009 is 15% of 60
% change from A to B(B − A) ÷ |A| × 10060 to 75 = +25%
X increased by P%X × (1 + P ÷ 100)60 + 25% = 75
X decreased by P%X × (1 − P ÷ 100)75 − 20% = 60

Everyday examples

Shopping. A $80 jacket with 25% off: 25% of 80 is 20, so you pay $60. With 8% sales tax on top, $60 increased by 8% is $64.80.

Pay rise. Your hourly pay goes from $18 to $19.80. The % change mode shows a 10% raise.

Test scores. 42 correct out of 50 questions: 42 is 84% of 50.

Tips. 18% of a $46 bill is $8.28. The Tip calculator can also split it between people.

Common percentage mistakes

Using the wrong starting point. A change is always measured against the starting value. A drop from 50 to 40 is a 20% decrease, but the rise from 40 back to 50 is 25%.

Adding percentages together. Two discounts of 10% and 20% don't make 30% off. Applied one after the other they make 28% off, because the second discount is taken from the already reduced price.

Frequently asked questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. For 20% of 150: 20 ÷ 100 = 0.2, and 0.2 × 150 = 30.

How do I work out a percentage increase?

Subtract the old value from the new one, divide by the old value, then multiply by 100. Going from 80 to 100: (100 − 80) ÷ 80 × 100 = 25% increase.

Is a 20% increase followed by a 20% decrease back where I started?

No. 100 increased by 20% is 120, but 120 decreased by 20% is 96. The second percentage is taken from a bigger number, so it removes more than the first one added.

What's the difference between percent and percentage points?

If an interest rate goes from 4% to 5%, it rose by 1 percentage point, but by 25 percent (because 1 is a quarter of 4). Percentage points compare two percentages directly; percent describes the relative change.

How do I take a percentage off a price?

Use the +/− % mode and enter a negative number, such as −15 for 15% off. Or multiply the price by (1 − 0.15). The Discount calculator also shows how much you save.

Learn more