# 16% of what number is 192?

Aug 24, 2016

16% of 1200 = 192

#### Explanation:

If you are writing about percentage you use the form 16%

If you are calculating using percentage you use the form $\frac{16}{100}$

Let the unknown value be $x$

Then

$\frac{16}{100} \times x = 192$

Multiply both sides by $\textcolor{b l u e}{\frac{100}{16}}$ to get $x$ on its own

$\textcolor{b r o w n}{\frac{16}{100} \textcolor{b l u e}{\times \frac{100}{16}} \times x = 192 \textcolor{b l u e}{\times \frac{100}{16}}}$

But $\frac{16}{100} \times \frac{100}{16} \to \frac{16}{16} \times \frac{100}{100} = 1 \times 1 = 1$ giving

$x = \frac{192 \times 100}{16} = 1200$