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Percentage Change


We can calculate a percentage change if we are given an original amount and a new amount.

If the price of a train ticket increased from £50 to £60 we can calculate the percentage change using the formula:

Percentage change = change⁄original × 100

The original price is £50 and the new price is £60.
The change (the increase) is £60 − £50 = £10

Percentage change = 10⁄50 × 100 = 20%


The price of a computer is reduced from £350 to £308 in a sale

The original price is £350 and the new price is £308
The change (the decrease) is £42 (350 − 308 = 42)

Percentage change = 42⁄350 × 100 = 12%

We can say that the percentage change is -12% or there is a 12% reduction in the price


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Emma buys a house for £201 500 She sells the house for £213 590

Calculate the percentage profit Emma makes.

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What does the term percentage literally mean?

Percentage Change Revision Guide

  1. GCSE
  2. /Maths
  3. /Percentage Change

Revision notes for AQA GCSE Maths Percentage Change. Open the guide for explanations and worked examples. Written against the AQA GCSE Maths (8300) specification, so the content matches what's examinable rather than general Maths background.

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Practise questions

1 of 2

A bicycle originally costs £240. Its price increases to £300. What is the percentage increase?

Practise questions

1 of 2

Owen buys 1 kg of apples for £2.40, puts them into 5 equal bags, and sells each bag for 60p. What is his percentage profit?

Practise questions

1 of 3

A shirt costs £20. Its price increases to £25. What is the percentage increase in the price of the shirt?