Question

What percent of 60 is 84?

Answer 1

See a solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore we can write "what percent" as `x/100`.

We can now write the problem as:

`x/100 = 84/60`

Multiplying each side of the equation by `color(red)(100)` will solve for `x` while keeping the equation balanced:

`color(red)(100) xx x/100 = color(red)(100) xx 84/60`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 8400/60`

`x = 140`

84 is `color(red)(140%)` of 60

Answer 2

`140%`

Explanation:

When dealing with percents, some words can be translated into operations:

Of = Multiply
Is = Equals
What = `x` or unknown

Using those, we can get the equation
`x%*60=84`

Divide both sides by 60:

`x%=1.4`

`x=140%`

140% of 60 is 84.