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Year 7 · Fractions, Decimals & Percentages

Find the percentage or the whole

Percentage problems come in three kinds: find the part, find the percentage, or find the whole.

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How to do it

  1. Part: percentage × whole ÷ 100.
  2. Percentage: part ÷ whole × 100.
  3. Whole: part ÷ percentage × 100. Discounts: find the percentage, subtract. GST: add 10%.

Worked example

200 is what percentage of 400?
200 ÷ 400 = 0.5. Multiply by 100: 50%.
Answer: 50

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Divide by the whole, not by the part.

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