Mr. Sims
Algebra 1
Section 11.2 B
Percents
a = p b
part
percent
whole
1. What number is 95% of 150?
a = p b
a = .95(150)
= 142.5
2. What number is 33% of 430?
95% as a decimal is .95
a = p b
a = .33(430)
= 141.9
33% as a decimal is .33
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3. 24 is what percent of 30? a = p b
24 = p(30)
p = .8
= 80%
4. 21 is 7% of what number? a = p b
21 = .07b
b = 300
7% is .07 as a decimal
5. 279 is 45% of what number? a = p b
279 = .45b
b = 620
45% as a decimal is .45
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6. 14.2 is what percent of 42.6?
a = p b
14.2 = p(42.6)
p = .33333...
= 33.3%
7. 40.5 is what percent of 324? a = p b
40.5 = p(324)
p = .125
= 12.5%
8. 533 is 65% of what number?
a = p b
533 = .65b
b = 820
65% as a decimal is .65
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9. What is 175% of 624?
a = p b
a = 1.75(624)
a = 1092
175% as a decimal is 1.75
1
2
10. 12 is 6 % of what number? a = p b
3
3
2
37 1
change 6 % to a fraction
 b
3
3 15
20
 100
3
20 1


3 100

dividing by 1/15 {multiply by 15}
b
multiply by
reciprocal
37 15

3 1
= 185
1
15
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11. 128 is what percent of 96?
a = p b
128 = p(96)
p = 1.33333...
= 133.3%
12. What number is .8% of 72?
a = p b
a = .008(72)
= .576
.8 as a decimal is .008
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What percent of the region is blue? What percent is black?
3
percent black
3
7
7
a = p b
7
3
7
15
7
3
3
105 = p(300)
p = .35
= 35%
percent blue
20
area of entire object
= 15(20)
= 300
area of black rectangles
= 5(21)
= 105
= 100 – 35
= 65%
Mr. Sims
What percent of the region is blue? What percent is black?
percent black
a = p b
12
12
4
4
percent blue
18
area of entire object
= 12(18)
2
48 = p(108)
p = .444
= 44.4%
area of black rectangle
= 4(12)
= 48
= 100 – 44.4
= 55.6%
= 216
2
= 108
Mr. Sims
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