What percent of 500 is 120?

2 Answers
Nov 16, 2016

Answer:

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%#

Nov 16, 2016

Answer:

#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%#