18 out of 20 — good score, but what percentage? Turning ‘x out of y’ into a percentage is how test results, match records and survey answers get compared, and this lesson makes it a three-step routine.
Score over total: 18 out of 20 → 18/20.
Multiply top and bottom by the same number: ×5 here.
90 out of 100 = 90%.
A netball team wins 13 of its 25 matches. What percentage did it win?
Wrong! The bottom is the total possible (20), not 100. 18/20 = 90%.
Wrong! Multiply top AND bottom by 5: 18/20 = 90/100 = 90%.
Impossible! You can’t score more than everything. 13/25 = 52%.
Put the score over the total, then scale the fraction to hundredths: 18/20 = 90/100 = 90%.
Divide instead: score ÷ total × 100. For 15 out of 40, 15 ÷ 40 = 0.375 = 37.5%. At KS2, questions almost always use friendly totals like 10, 20, 25 and 50.
Score-to-percentage questions appear constantly, and the same scaling idea underpins pie charts, probability and data work.
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