# 1 is what percent of 5?

Dec 29, 2016

20%.

#### Explanation:

To calculate the percentage, we use the formula:

$5 \times \frac{x}{100} = 1$

$1 \cancel{5} \times \frac{x}{20 \cancel{100}} = 1$

$\frac{x}{20} = 1$

Multiply both sides by $20$.

$\frac{\cancel{20} \times x}{\cancel{20}} = 20 \times 1$

$x = 20$

Dec 29, 2016

1/5 = 20%

#### Explanation:

Percent, fractions and decimals are all different ways of showing the same value. They are interchangeable.

"What percent is 1 out of 5?"

One way to find a percent:

find an equivalent fraction with a denominator of 100.

$\frac{1}{5} \textcolor{b l u e}{\times \frac{20}{20}} = \frac{20}{100} \text{ } \rightarrow \textcolor{b l u e}{\times \frac{20}{20} = \times 1}$

20/100 = 20%

A second way to find a percent:

"fraction" xx 100%

1/5 xx color(blue)(100/100) = 20%" "rarr color(blue)(xx100/100 = xx1)

A third way to find a percent:

$\frac{1}{5} = 1 \div 5$

$1 \div 5 = 0.2$

 0.2 = 2/10 = 20/100 = 20%

(the third method is the easiest if the denominator is a prime number or has a factor of 3, 7, 11 and so on)