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Percentages of a Quantity

To find p% of a quantity, multiply the quantity by p/100.

How it works

Percentage is a representation of a fraction with denominator 100. Useful benchmarks—50% is one half, 25% is one quarter and 10% is one tenth—make many calculations mental.

Worked example

Find 35% of 240.

  1. 10% of 240 is 24.
  2. 30% is 3 × 24 = 72.
  3. 5% is half of 10%, so 12.
  4. 72 + 12 = 84.

35% of 240 is 84.

Try it now

These questions come from the same validated skill generator used by the game.

Common mistakes

  • Dividing by the percentage instead of by 100.
  • Confusing 20% of with 20% off.
  • Reading 25% as 25 or 0.25%.

Challenge

A number's 15% is 36. Find the number and verify by multiplication.

Questions learners ask

Can a percentage exceed 100%?

Yes. For example, 120% means 1.2 times the reference amount.

What is 1% of a number?

Divide the number by 100.

Use this in real life