Question

86.4 is what percent of 192?

Answer 1

86.4 is 45% of 192

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:

`86.4 = p/100 xx 192`

`color(red)(100)/color(blue)(192) xx 86.4 = color(red)(100)/color(blue)(192) xx p/100 xx 192`

`8640/color(blue)(192) = cancel(color(red)(100))/cancel(color(blue)(192)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(192)))`

`45 = p`

`p = 45`