Question

What percent of 84 is 20?

Answer 1

23.8% of 84 is 20

Explanation:

Let's cal the percent we 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 84 = 20`

`color(red)(100)/color(blue)(84) xx p/100 xx 84 = color(red)(100)/color(blue)(84) xx 20`

`cancel(color(red)(100))/cancel(color(blue)(84)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(84))) = 2000/color(blue)(84)`

`p = 23.8` rounded to the nearest tenth of a percent.