# Percentages

You need to be able to use basic skills of working with percentages for many different calculations.

Most of these questions will be in a real life context.

Per cent means 'out of one hundred', so $$15\%$$ means $$15$$ out of $$100$$.

$15\% = \frac{{15}}{{100}}$

### Example

Calculate $$15\%$$ of $$\pounds200$$

$\frac{15}{100}\times 200= \pounds30$

Now try the example question below.

Question

Find $$30\%$$ of $$\pounds800$$.

$30\% \,of\,\pounds800$

=$$\frac{30}{100}\times 800$$

$= \pounds240$

Question

Find $$17\%$$ of $$340kg$$

$$17\%$$ of $$340kg$$

= $$\frac{17}{100}\times 340$$

A way of doing this on a calculator is $$340 \div 100 \times 17$$.

$=57.8kg$

Question

Find $$15\%$$ of $$260cm$$

$$15\%$$ of $$260cm$$

= $$\frac{15}{100}\times 260$$

One way of doing this on a calculator is $$260\div 100\times 15$$.

$=39cm$