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Ivy Maths
All topics

Year 8

Percentages

Definition

Fractions, decimals and percentages are three ways to write the same value. You can convert between them by dividing, multiplying by 100 or writing over 100.

Why Do I Have to Learn This?

Percentages compare amounts out of 100, so they make things easy to judge. Sales, test scores and phone batteries all speak in percent.

Key Rules:

  • 1. Divide the top by the bottom to change a fraction to a decimal.
  • 2. Multiply a decimal by 100 to make a percentage.
  • 3. Write a percentage over 100 to make a fraction, then simplify.

Remember:

  • 12, 0.5 and 50% are the same value.
  • Per cent means out of 100.
  • Learn common conversions like 14 = 25% by heart.

Per cent

Out of one hundred. 25 per cent means 25 out of 100, or 25100.

25 per cent is the same as 25100.

Animated Example:

25% is 25 out of 100

Free Percentages Worksheet

Download free worksheets and practise today.

Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Work it out

What is 25% of 40?