Question

43.7 is what percent of 9.2?

Answer 1

43.7 is `color(red)(475)%` of 9.2

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:

`43.7 = p/100 xx 9.2`

`color(red)(100)/color(blue)(9.2) xx 43.7 = color(red)(100)/color(blue)(9.2) xx p/100 xx 9.2`

`4370/color(blue)(9.2) = cancel(color(red)(100))/cancel(color(blue)(9.2)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(9.2)))`

`475 = p`

`p = 475`