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The percent proportion is a proportion that equates a part of a whole to a percent out of 100.
400
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 ⇔ a/b=p/100 We can find what number 120 is 30 percent of by thinking about 120 as the part of a whole number b. Let's substitute a= 120 and p= 30 into the formula and solve for b using the Properties of Equality.
a= 120, p= 30
LHS * 100=RHS* 100
a/100* 100 = a
a/c* b = a* b/c
LHS * b=RHS* b
a/b* b = a
a/b=.a /30./.b /30.
Calculate quotient
Rearrange equation
Now that we know the value of b, let's look at the completed percent proportion. 120/400=30/100 Therefore, 120 is 30 % of 400.