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Percentage Calculator — Calculate What Percentage One Number Is of Another

Free percentage calculator. Work out what is X% of Y, what percentage one number is of another, and percentage increases and decreases — with step-by-step working shown so you can verify every result. Pick a mode below, type two numbers, and the answer updates instantly as you type.

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Quick mental shortcut: 10% of any number is just the number with the decimal point moved one place left. 5% is half of that, and 20% is double it.

Plain English

How it works

Part = (Percent ÷ 100) × Whole
  1. Divide the percentage by 100 to turn it into a decimal — 15% becomes 0.15.
  2. Multiply that decimal by the value you are working from.
  3. To go the other way, divide the part by the whole and multiply by 100.
Percent simply means “per hundred”, so every percentage question is a multiplication or a division by 100 in disguise.

See it in action

Worked examples

What is 10% of 50?

  1. Turn the percent into a decimal: 10 ÷ 100 = 0.10
  2. Multiply by the value: 0.10 × 50 = 5

Answer: 5

Finding a simple tenth of anything — a quick tip estimate, a 10% service fee, or a 10% sample of a group.

What is 15% of 200?

  1. Turn the percent into a decimal: 15 ÷ 100 = 0.15
  2. Multiply by the value: 0.15 × 200 = 30

Answer: 30

A standard 15% tip on a $200 banquet bill, or a 15% commission on $200 of sales.

What is 25% of 80?

  1. Turn the percent into a decimal: 25 ÷ 100 = 0.25
  2. Multiply by the value: 0.25 × 80 = 20

Answer: 20

A quarter of a class of 80 students, or a 25% down payment on an $80 item.

What is 30% of 500?

  1. Turn the percent into a decimal: 30 ÷ 100 = 0.30
  2. Multiply by the value: 0.30 × 500 = 150

Answer: 150

A 30% discount on a $500 product, or 30% of a 500-person survey responding “yes”.

What is 5% of 1000?

  1. Turn the percent into a decimal: 5 ÷ 100 = 0.05
  2. Multiply by the value: 0.05 × 1000 = 50

Answer: 50

A 5% sales tax on a $1,000 purchase, or a 5% cash-back reward on $1,000 of spending.

Answers

Frequently asked questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. For 15% of 200: 15 ÷ 100 = 0.15, and 0.15 × 200 = 30.

How do I work out what percentage one number is of another?

Divide the part by the whole, then multiply by 100. 45 out of 180 is 45 ÷ 180 = 0.25, which is 25%.

Is a 50% increase then a 50% decrease back to the start?

No. 100 increased by 50% is 150, and 150 decreased by 50% is 75. Percentages always apply to the value in front of them at that moment.

Can percentages be greater than 100%?

Yes. 250% of 40 is 100. Anything above 100% simply means more than the whole.

Do I need to press a button to calculate?

No. Results update instantly as you type, with no page reload.

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