# 3/5 is 30% of what number? Thanks

May 15, 2018

$2$.

#### Explanation:

To start, convert $\frac{3}{5}$ to a decimal:

$\frac{3}{5} = 0.6$

We'll set up an equation, which says that $\frac{3}{5}$ ($0.6$) is 30% ($0.3$) times a number:

$0.6 = 0.3 x$

Divide both sides by $0.3$:

$\frac{0.6}{0.3} = \frac{0.3 x}{0.3}$

$\frac{0.6}{0.3} = \frac{\textcolor{red}{\cancel{0.3}} x}{\textcolor{red}{\cancel{0.3}}}$

$\frac{0.6}{0.3} = x$

$2 = x$