Question

What percent of 500 is 120?

Answer 1

24% of 500 is 120.

Explanation:

To rephrase this problem: 120 is what percent of 500.

Let's call the percent we are looking for `p`. Then we can say:

`p` of 500 = 120 or

`p xx 500 = 120`

Solving for `p` while keeping the equation balanced gives:

`p xx 500/500 = 120/500`

`p = 0.24 or 24%`

Answer 2

`24%`

Explanation:

To find out what percentage one quantity is of another quantity:

`color(red)("Fraction " xx 100%)`

As soon as you write a fraction it also represents a decimal fraction.

Multiplying by #100% is the same as multiplying by 1, so you are not changing the value of the fraction, only the form of the fraction.

Fraction = decimal = percent

What percent is 120 of 500?

`color(red)(120/500 xx 100%)`

=`24%`

In this case you can find the percent by making an equivalent fraction with a denominator of 100.

`(120div5)/(500div5) = 24/100 = 24%`