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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.
80
Let's start by recalling that 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.
part/whole=percent/100
We want to find the number of which 50 % is 40, which means that we want to find the whole. Let w represent the whole.
Finally, we will use the Division Property of Equality to get the value of w.
.LHS /50.=.RHS /50.
Cancel out common factors
Simplify quotient
Calculate quotient
Rearrange equation
We got that w= 80 is a solution to the proportion. This means that 40 is 50 % of 80.