Exercise 3 Page 251

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/100We can find what percent of 36 is 20 is by thinking about 36 as the whole and 20 as the part of the whole. Let's substitute a= 20 and w= 36 into the formula and solve for p using the Properties of Equality.

a/w=p/100

SubstituteII

a= 20, w= 36

20/36=p/100

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Solve for p

MultEqn

LHS * 100=RHS* 100

20/36* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

20/36* 100=p

MoveRightFacToNum

a/c* b = a* b/c

20* 100/36=p

Multiply

Multiply

2000/36=p

CalcQuot

Calculate quotient

55.555555 ...=p

RoundDec

Round to 1 decimal place(s)

55.5≈ p

RearrangeEqn

Rearrange equation

p= 55.5

Knowing the value of p, let's look at the completed percent proportion. 20/36=55.5/100 We found that 20 is 55.5 % of 36.