Question

What percent of 120 is 66?

Answer 1

55% of 120 is 66

Explanation:

First, lets call 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 120 = 66`

`color(red)(100)/color(blue)(120) xx p/100 xx 120 = color(red)(100)/color(blue)(120) xx 66`

`cancel(color(red)(100))/cancel(color(blue)(120)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(120))) = 6600/color(blue)(120)`

`p = 6600/120`

`p = 55`