Question

70 is 52% of what number?
(Please show your work and include steps-)

Answer 1

A percentage a piece out of 100; it is a fraction out of 100. A percentage shows exactly how much somethings takes up out of the whole (100).

Therefore, we will create a proportional relationship:

70/x = 52/100

70 is 52% out of x whole, which equals 52/100 because 52/100 = 52%. The relationship is therefore proportional.

x•52 = 70•100

We cross multiply using the Cross Product Property to create an Algebraic equation to solve for X.

x•52/52 = 7,000/52

We must cancel out x•52 by dividing by 52 using the Division Property of Equality.

x = 134.615.

Therefore, substituting 134.615 for x:

70/134.615 = 52/100.

This is an approximation, so it is not exact!!!