Question

120 is what percent of 400?
Percent Proportion-
Percent Equation -

Answer 1

30%

Explanation:

Write the expression:

x% of 400 = 120

Then solve:

x/100 x 400 = 120

4x = 120

x = 30%

Answer 2

To find what percent 120 is of 400, we can use either the percent proportion or the percent equation.

Using the percent proportion:

Let x be the percent we are looking for. Then we can write:

120/400 = x/100

Simplifying this equation, we get:

0.3 = x/100

Multiplying both sides by 100, we get:

x = 30

Therefore, 120 is 30% of 400.

Using the percent equation:

The percent equation states that:

part/whole = percent/100

In this case, the part is 120 and the whole is 400, so we can write:

120/400 = percent/100

Simplifying this equation, we get:

0.3 = percent/100

Multiplying both sides by 100, we get:

percent = 30

Therefore, 120 is 30% of 400.