Medium📚 Percentages

Percentage Increase Example

Grade 7Key Stage 3Årskurs 7

Problem

A shirt's price increased from $40 to $52. What is the percentage increase?

📝Step-by-Step Solution

Find the increase (change)

Change = New value - Original value = $52 - $40 = $12

Increase = $52 - $40 = $12

Recall the percentage increase formula

Percentage increase = (Increase / Original) × 100%

% Increase = (Change / Original) × 100

Substitute the values

% Increase = ($12 / $40) × 100

% Increase = (12/40) × 100

Calculate

12 ÷ 40 = 0.3, then 0.3 × 100 = 30

0.3 × 100 = 30%

✅Final Answer

30% increase

IMPORTANT: Always divide by the ORIGINAL value, not the new value! This is the most common mistake. To find a new value after a percentage increase: New = Original × (1 + percentage/100). So $40 × 1.30 = $52.

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This worked example is part of the broader percentages guide. Review the method, practice related skills, and create a printable assessment when you are ready.

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