Question

What percent of 145 is 82?

Answer 1

82 is `color(red)(56.55%)` of 145 (rounded to the nearest hundredth)

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 145 = 82`

`color(red)(100)/color(blue)(145) xx p/100 xx 145 = color(red)(100)/color(blue)(145) xx 82`

`cancel(color(red)(100))/cancel(color(blue)(145)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(145))) = color(red)(8200)/color(blue)(145)`

`p = 56.55` rounded to the nearest hundredth.