# 19% of what is 117.5?

Jul 17, 2016

Approximately, $618.42$

#### Explanation:

Assume an unknown quantity is $X$.
Then 19% (or $0.19$) of this quantity is $117.5$.

Therefore, we can represent it in an equation:
$0.19 \cdot X = 117.5$

To solve this equation, recall that both sides of an equation can be divided by the same number not equal to 0 and get a new equation.
Let's divide both sides of our equation by $0.19$:

$\frac{0.19 \cdot X}{0.19} = \frac{117.5}{0.19}$

which can be transformed into
$X \cdot \frac{0.19}{0.19} = \frac{117.5}{0.19}$

or, since $\frac{0.19}{0.19} = 1$ and $\frac{117.5}{0.19} \approx 618.42$,

$X \approx 618.42$