Question

18 is 32% of what number w? what is w?

Answer 1

Given: 18 is 32% of a number

To Determine: The number

Let the number be w. Therefore:

$\begin{gathered} 32\%ofw=18 \\ \frac{32}{100}\times w=18 \end{gathered}$$\frac{32w}{100}=18$

$\begin{gathered} 0.32\times w=18 \\ 0.32w=18 \end{gathered}$

Divide both sides by 0.32

$\begin{gathered} \frac{0.32w}{0.32}=\frac{18}{0.32} \\ w=56.25 \end{gathered}$

Hence,

an equation is 18 = 0.32 . w

The solution is w = 56.25