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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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Bar models showing original value £80, increase to £100 and decrease to £60, with the £20 change highlighted and the formula percentage change = change/original × 100

A percentage change measures how much something goes up or down compared with the amount you started with. That starting amount is called the original value.

First find the change, then compare it with the original amount. Use this formula:

percentage change=changeoriginal value×100 \text{percentage change} = \frac{\text{change}}{\text{original value}} \times 100 percentage change=original valuechange​×100

If the new value is bigger, it is an increase. If the new value is smaller, it is a decrease.

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Question 1

3 marks

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 Edexcel GCSE Maths Percentage Change. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Error IntervalsFractionsEstimatingWriting and Simplifying RatioRatioProportionPercentagesPercentage ChangeExchange RatesConversions and UnitsScale DrawingsBest Buy QuestionsSubstitutionSolving EquationsDrawing Linear GraphsArea and Circumference of CirclesTransformationsArea of Compound ShapesFrequency Trees

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?