Question

4 is what % of 20?

Answer 1

4 is 20% of 20.

Explanation:

First, lets call the percent are looking for "p".

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as `p/100`.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for `p` while keeping the equation balanced:

`p/100 xx 20 = 4`

`color(red)(100)/color(blue)(20) xx p/100 xx 20 = color(red)(100)/color(blue)(20) xx 4`

`cancel(color(red)(100))/cancel(color(blue)(20)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(20))) = 400/color(blue)(20)`

`p = 20`