Question

Express the following as a percent$:$

$30:200$

Answer 1

Step $1:$ To convert given ratio$,$ $30:200$ into percentage.

First convert given ratio into fraction by introducing the division sign

Ratio $30:200$ can be written as $\frac{30}{200}$

$\frac{30}{200}$$=\frac{3}{20}$

As we know that a fraction with its denominator $100$ is called percentage$.$

Step $2:$ Divide and multiply the fraction , $\frac{3}{20}$ by $100$

$=\frac{3}{20}\times \frac{100}{100}$

$=\frac{{\displaystyle \frac{300}{20}}}{100}$

$=\frac{{\displaystyle \frac{30}{2}}}{100}$

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

$=15\%$

Hence, $15\%$ is the equivalent percentage of $30:200$