# 3/4% of what number is 27?

Jun 13, 2016

3/4% of $3600$ is $27$

#### Explanation:

Let 3/4% of $x$ be $27$.

3/4% of $x$ means $\frac{3}{4} \times \frac{1}{100}$ of $x$ and hence

$\frac{3}{4} \times \frac{1}{100} \times x = 27$

i.e. $\frac{3}{400} x = 27$

Hence $x = 27 \times \frac{400}{3}$

or $x = 9 \cancel{27} \times \frac{400}{1 \cancel{3}}$

or $x = 9 \times 400 = 3600$

Hence 3/4% of $3600$ is $27$.

Jun 14, 2016

The original number was 3600

#### Explanation:

Known that $\frac{3}{4}$ is the same as 0.75.

So 3/4% -= 0.75/100

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:" "0.75/100 xx ? =27

Let the unknown value be $x$

Then

" "color(brown)(0.75/100 xx x" "=" "27)

$\textcolor{w h i t e}{}$

Multiply both sides by $\textcolor{b l u e}{\frac{100}{0.75}}$

$\textcolor{w h i t e}{}$

" "color(brown)(0.75/100 color(blue)(xx 100/0.75) xx x" " =" " 27color(blue)(xx 100/0.75))

$\textcolor{w h i t e}{}$

$\text{ } \frac{100}{100} \times \frac{0.75}{0.75} \times x = 3600$

$\textcolor{w h i t e}{}$

$\text{ } 1 \times 1 \times x = 3600$
$\textcolor{w h i t e}{}$

$\text{ } x = 3600$