8.3Percentage of a Quantity

To find $x\%$ of a quantity $Q$ , convert the percentage to a fraction or decimal and multiply.

Find

x\%

of a quantity

\displaystyle x\% \text{ of } Q = \dfrac{x}{100} \times Q

Finding a percentage of a quantity

A hawker centre has $\displaystyle 360$ stalls. $\displaystyle 35\%$ of the stalls sell cooked food. How many stalls sell cooked food?

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\displaystyle \text{Number of cooked food stalls}

\displaystyle = 35\% \text{ of } 360

\displaystyle = \dfrac{35}{100} \times 360

\displaystyle = 126

Now you try

A test has 20 marks. A student scores 50%. How many marks did the student score?

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Marks scored

= 50\%

20

= \dfrac{50}{100} \times 20

= 10

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