# 6% of what number is 12?

Jun 24, 2016

12 is 6% of 200

#### Explanation:

Converted 6% into decimal form

$\frac{6}{100} = 0.06$

divided 12 by 6% in decimal form

$\frac{12}{0.06} = 200$

multiplied 200 by 6% in decimal form to prove that 6% of 200 is 12

$200 \times 0.6 = 12$

For similar questions just replace these letters with the numbers in the problem;

$x$ = 6%
$y$ = 12
$z$ = 200

x% of $z$ is $y$

convert x% into decimal form
divide $x$ by 100, always divide a percentage by 100 when converting any percentage to decimal form.

divide $y$ by $\frac{x}{100}$ to find $z$

$y \div \frac{x}{100} = z$

Proof:

$12 \div \frac{6}{100} = 200$