# 82 is 18% of what?

Apr 16, 2018

$455.56$

#### Explanation:

$\frac{82}{x}$ is equal to $\frac{18}{100.}$

Cross mulitply.

$8 , 200 = 18 x .$

Isolate the $x$ by dividing by $18$ on both sides.

So, $455.56$ (or $455. \overline{5}$) is your $x$ value, which is what $82$ is $18$ percent of.

Apr 16, 2018

$455. \dot{5}$ or $\frac{4100}{9}$

#### Explanation:

$18 = 82$

18% =18/100=9/50

which means

$\frac{9}{50} x = 82$

solving this equation for x

$\cancel{\frac{50}{9} \cdot \frac{9}{50}} x = 82 \cdot \frac{50}{9}$

$x = \frac{4100}{9}$ or in decimal $455. \dot{5}$

$455. \dot{5} = 455.5555555555 \ldots$

Apr 16, 2018

The number is $455 \frac{5}{9}$

#### Explanation:

You can write an equation.

18% of some bigger number ($x$), will give an answer of $82$

18% xx x = 82

$\frac{18}{100} \times x = 82$

$\textcolor{w h i t e}{\times \times x} x = \frac{82 \times 100}{18}$

$\textcolor{w h i t e}{\times \times x} x = \frac{82 \times 100}{18}$

$\textcolor{w h i t e}{\times \times x} x = 455 \frac{5}{9}$