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Quantities as Percentages

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Quantities as Percentages

To express one quantity as a percentage of another, divide the part by the whole and multiply by 100. Show your working for calculation questions.

Understanding the Method

1.Which calculation finds what percentage the part is of the whole?

(whole ÷ part) × 100
(part ÷ whole) × 100
(part × whole) ÷ 100
(part + whole) × 100

2.A group has 28 students, and 21 of them walk to school. Which division should you do first to find the percentage who walk?

28 ÷ 21
21 ÷ 28
21 × 100
28 × 100

3.Complete the calculation to find what percentage 21 is of 28: the decimal quotient is ; then × 100 = %.

Percentage Problems

For each problem, calculate the part as a percentage of the whole.

4.At a school fair, 16 of the 40 stalls sell food. What percentage of the stalls sell food? Show your working.

5.A netball team won 14 of its 20 matches. What percentage of its matches did the team win? Show your working.

6.A fruit shop sold 18 pears out of 30 pieces of fruit. What percentage of the fruit sold was pears? Show your working.

7.Isla earned 42 points out of a possible 60 in a quiz. What percentage of the points did she earn? Show your working.

Challenge

8.A volleyball player served 27 times and got 24 serves in. What percentage of the serves were successful? Give one reason why this percentage might be useful to the player.

9.A cycle rack holds 48 bikes. Of these, 12 are electric bikes. What percentage of the bikes are electric? Show your working.

10.Write a percentage problem using 9 as the part and 36 as the whole, then solve it. Include enough detail to make clear what the two quantities represent.