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Mathematics · Grades 6–8

Percentages · Formula sheet

Rules, conditions and small examples in one printable reference.

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Percentages as fractions

Percent means per hundred. Simplify the resulting fraction.

p% = p/100

21/100 = 21/100

Find the original whole

Divide by the percentage as a decimal, not by the whole-number percent.

whole = part ÷ (p/100)

392 ÷ 0.4 = 980

Successive percentage changes

Apply each percentage to the value at that stage.

final = initial × (1 + p/100) × (1 − q/100)

7400 × 1.2 × 0.9 = 7992

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.