Question

What percent is $8metres20cm$of $41metres?$

Answer 1

Step 1.Converting given measures into a single unit

We know that $1cm=\frac{1}{100}metre$

So $$\begin{gathered} 8metres20cm=8+20\times \frac{1}{100} \\ =8+\frac{1}{5} \\ =\frac{41}{5}metres \end{gathered}$$

Step 2.Finding the percentage of $8metres20cm$out of $41metres$

Percentage converts into a fraction on dividing it by 100.

Thus Percentage of $8metres20cm$out of $41metres$$=\left(\frac{{\displaystyle \raisebox{1ex}{$41$}\!\left/ \!\raisebox{-1ex}{$5$}\right.}}{41}\times 100\right)\%$

$=\left(\frac{41}{5}\times \frac{1}{41}\times 100\right)\%$

$=20\%$

Hence the percentage of $8metres20cm$out of $41metres$is $20\%$