body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Maintaining Mathematical Proficiency

Continue to next subchapter

Exercise 3 Page 665

The percent proportion is a proportion that equates a part of a whole to a percent out of 100.

40 %

Practice makes perfect

The percent proportion is a proportion that equates a part of a whole to a percent out of 100. part/whole=percent/100 ⇔ a/w=p/100 We can find what percent of 86 is 34.4 by thinking about 34.4 as a part and 86 as the whole. Let's substitute a= 34.4 and w= 86 into the formula and solve for p.

a/w=p/100

a= 34.4, w= 86

34.4/86=p/100

▼

Solve for p

a/b=a÷ b

0.4=p/100

LHS * 100=RHS* 100

0.4* 100=p/100 * 100

FracMultDenomToNumber

a/100* 100 = a

0.4* 100 = p

Multiply

40 = p

Rearrange equation

p=40

Therefore, 34.4 is 40 % of 86.

Subchapter links

Exercises p.665