We want to find what number's 75% is 48 by using a model. We can split the model into intervals of 25%. There are 4 such intervals in 100%. Since 75=25* 3, we can represent 75% by three such intervals. Let's find what number's 75% is 48!
We found that 48 is 75 % of 64.
Checking Our Answer
We can check our answer by solving the percent proportion. The percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100. We can represent a is p percent of wwith the given proportion.
part/whole=percent/100 ⇔ a/w=p/100
We can find what number's 75% is 48 by thinking about 75 as the percent and 48 as a part of the whole. Let's substitute a= 48 and p= 75 into the formula and solve for p using the Properties of Equality.
