Question

25 is what percent of 4,000?

Answer 1

See a solution process below:

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:

`25 = p/100 xx 4000`

`25 = p xx 40`

`25/color(red)(40) = (p xx 40)/color(red)(40)`

`(5 xx 5)/(color(red)(5) xx color(red)(8)) = (p xx color(red)(cancel(color(black)(40))))/cancel(color(red)(40))`

`(color(red)(cancel(color(black)(5))) xx 5)/(cancel(color(red)(5)) xx color(red)(8)) = p`

`5/8 = p`

`(5/8)/100 = 5/8%`

25 is `5/8%` of 4,000