# 36 is what percent of 65?

Mar 21, 2017

36 is the 55.4% of 65

#### Explanation:

Let $x$ be a real number representing the percentage .
$\text{ }$
$65 \times \frac{x}{100} = 36$
$\text{ }$
$\Rightarrow \frac{65 x}{100} = 36$
$\text{ }$
$\Rightarrow 65 x = 3600$
$\text{ }$
$\Rightarrow x = \frac{3600}{65}$
$\text{ }$
$\Rightarrow x = 55.4$
$\text{ }$
Therefore, 36 is the 55.4% of 65 .

Mar 21, 2017

55.44%

#### Explanation:

Percent means "per 100"

So, you need to find what 36 is when 65=100.

$\frac{36}{65}$=$\frac{x}{100}$

$100 \div 65 \approx 1.54$
Therefore, $65 \times 1.54 = 100$
What you do to the bottom, you must do to the top.

Therefore, $\frac{36}{65} = \frac{36 \times 1.54}{65 \times 1.54} = \frac{55.44}{100}$

Therefore, 55.44%