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The percent proportion is a proportion that equates a part of a whole to a percent out of 100.
Answer: 25%
Model:
We want to find what percent of 40 is 10 by using a model. We can split the model into intervals of 10. There are 4 such intervals in 40, so each of them represents 25%. Let's find what percent of 40 is 10!
We found that 10 is 25 % of 40.
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 w
with the given proportion.
part/whole=percent/100 ⇔ a/w=p/100
We can find what percent 10 of 40 is by thinking about 10 as the part of a whole and 40 as the whole. Let's substitute a= 10 and w= 40 into the formula and solve for p using the Properties of Equality.
a= 10, w= 40
LHS * 100=RHS* 100
a/100* 100 = a
a/c* b = a* b/c
Multiply
Calculate quotient
Rearrange equation
Knowing the value of p, let's look at the completed percent proportion. 10/40=25/100