Solutions: Understanding Percent

You can find complete Learning Objectives for this unit of study here.

The Meaning of Percent

Exercise	Problem	Solution
1	Which of the following is equal to ?1.6 8 to 100 16% none of the above	16%
2	Which of the following is equal to 21.8%?218 to 100 .218 none of the above	.218
3	Which of the following is equal to 150%15.0 1.50 .150 None of the above	1.50
4	Which of the following is equal to .0179?1.79% 17.9% 179% None of the above	1.79%
5	Which of the following is equal to 56.28%?56.28 5.628 .5628 None of the above	.5628

Writing Fractions as Percents

Exercise	Problem	Solution
1	Which of the following is equal to 36%? None of the above
2	Which of the following is equal to 62.5%? None of the above
3	Which of the following is equal to .583% 5.83% 58.3% None of the above	58.3%
4	Which of the following is equal to ?11% 5.5% 200% None of the above	5.5%
5	What fraction is equal to .42%? All of the above	All of the above

Writing Decimals as Percents

Exercise	Problem	Solution
1	Which of the following is equal to .475?475% 47.5% 4.75% None of the above	47.5%
2	Which of the following is equal to .0671?.0671% .671% 6.71% None of the above	6.71%
3	Which of the following is equal to .9004?90.04% 9.004% .9004% None of the above	90.04%
4	What percent of a dollar is a quarter?2.5% 25% .25% None of the above	25%
5	What percent of a dollar is a nickel?5% 50% .5% None of the above	5%

Writing Percents as Decimals

Exercise	Problem	Solution
1	Which of the following is equal to 64%?.064 .64 6.74 None of the above	.64
2	Which of the following is equal to 7.27%?7.27 .727 .0727 None of the above	.0727
3	Which of the following is equal to 91.4763%?.914763 9.14673 91.4763 None of the above	.914763
4	Which number has the greatest value?19.72% 1.972 $19.72 20 cents	$19.72
5	Which number has the least value?1.039% 1.39 $1.39 139 cents	1.039%

Writing Percents as Fractions

Exercise	Problem	Solution
1	Which of the following is equal to 90%? None of the above
2	Which of the following is equal to 16%? None of the above
3	Which of the following is equal to ?.72 72% All of the above	All of the above
4	Which of the following is equal to .875?8.75% None of the above
5	Which number has the greatest value?.625 6.25% $6.25 6,250 cents	6,250 cents

Percents Less Than 1 or Greater Than 100

Exercise	Problem	Solution
1	Which of the following is equal to 190%?190.0 19.0 1.90 None of the above	1.90
2	Which of the following is equal to 0.37%?0.0037 0.037 0.37 None of the above	0.0037
3	Which of the following is equal to 0.00319?3.19% 0.319% 0.0319% None of the above	0.319%
4	Which of the following is equal to 29.348?2,934.8% 293.48% 29.348% None of the above	2,934.8%
5	Which number has the least value?0.0056 0.56% All have the same value	All have the same value

Practice Exercises

Exercise	Problem	Solution
1	Which of the following is equal to ?4% 16% 25% None of the above	16%
2	Which of the following is equal to 0.218 ?.218% 2.18% 21.8% None of the above	21.8%
3	Which of the following is equal to 95% ? None of the above
4	Which of the following is equal to 12.5% ?125 12.5 1.25 None of the above	None of the above
5	Which of the following is equal to 62.5% ? None of the above
6	Which of the following is equal to 1.75 ?1.75% 17.5% 175% None of the above	175%
7	Which of the following is equal to ? 0.36 36% All of the above	All of the above
8	Which of the following is equal to 0.0947 ?94.7% 9.47% 0.974% None of the above	9.47%
9	Which of the following is equal to 279% ?2.79 27.9 279 None of the above	2.79
10	Which of the following is equal to 0.9625% ? None of the above	None of the above (0.9625% = 77/8000)

Challenge Exercises: Percent Conversions

Fraction	Decimal	Percent
	0.875	87.5%
	0.95%	95%
18/25	0.72	72%
	0.0056	0.56%
1	1.4	140%
33/200	0.165	16.5%
11/200	0.055	5.5%
	0.5625	56.25%
	0.0042	0.42%