Question

1 is what percent of 5?

Answer 1

`20%`.

Explanation:

To calculate the percentage, we use the formula:

`5xxx/100=1`

`1cancel5xxx/(20cancel100)=1`

`x/20=1`

Multiply both sides by `20`.

`(cancel20xxx)/cancel20 = 20xx1`

`x=20`

Answer 2

`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.

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

`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:

`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)