# What percent of 500 is 120?

Nov 16, 2016

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

$p \times 500 = 120$

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

$p \times \frac{500}{500} = \frac{120}{500}$

p = 0.24 or 24%

Nov 16, 2016

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%#