What percent of 500 is 120?

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Answer 1 · 2016-11-16T14:27:52

24% of 500 is 120.

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 · 2016-11-16T15:35:05

$24%$

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.

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