85% of what number is 45?

Sep 8, 2016

85% of $\frac{900}{17}$ is $45$

Explanation:

85% is equivalent to $\frac{85}{100}$

Let 85%=85/100 of $x$ be $45$

Hence $\frac{85}{100} \times x = 45$ or

$\frac{85}{100} \times x \times \frac{100}{85} = 45 \times \frac{100}{85}$ or

$\frac{\cancel{85}}{\cancel{100}} \times x \times \frac{\cancel{100}}{\cancel{85}} = 45 \times \frac{100}{85}$ or

$x = 45 \times \frac{100}{85}$ or

$x = 5 \times 9 \times \frac{100}{5 \times 17}$ or

$x = \cancel{5} \times 9 \times \frac{100}{\cancel{5} \times 17}$ or

$x = 9 \times \frac{100}{17} = \frac{900}{17}$