Question

What percent of 50 is 140?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100".

Therefore x% can be written as `x/100`.

We can now write this equation and solve for `x`:

`x/100 = 140/50`

`color(red)(100) xx x/100 = color(red)(100) xx 140/50`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = cancel(color(red)(100))2 xx 140/color(red)(cancel(color(black)(50)))`

`x = 280`

140 is `color(red)(280%)` of `50`

Answer 2

`280%`

Explanation:

The question is probably easier to read if it is given as:

What percent is `140" out of "50`?

To find what percent one value is of another, use the following:

`"fraction" xx 100%`

`140/50 xx10280%`

`=280%`

Note that multiplying by `100%` is the same as `xx 100/100` which is equal to `1`. This does not affect the value of the fraction, only what it looks like.