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Key concepts

  • To translate a percent problem, first write an equation and then solve it. See [link] .
  • Percents can be used to solve many types of problems. The strategy is to write a sentence that gives the information, translate it to an equation, and solve using algebra. See [link] .
  • Some percent problems involve finding percent increase or decrease, which is the difference between a new amount and an original amount. See [link] .

Practice makes perfect

Translate and Solve Basic Percent Equations

In the following exercises, translate and solve.

What number is 45% of 120 ?

54

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What number is 65% of 100 ?

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What number is 24% of 112 ?

26.88

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What number is 36% of 124 ?

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250% of 65 is what number?

162.5

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150% of 90 is what number?

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800% of 2,250 is what number?

18,000

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600% of 1,740 is what number?

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28 is 25% of what number?

112

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36 is 25% of what number?

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81 is 75% of what number?

108

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93 is 75% of what number?

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8.2% of what number is $2.87 ?

$35

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6.4% of what number is $2.88 ?

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11.5% of what number is $108.10 ?

$940

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12.3% of what number is $92.25 ?

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What percent of 260 is 78 ?

30%

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What percent of 215 is 86 ?

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What percent of 1,500 is 540 ?

36%

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What percent of 1,800 is 846 ?

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30 is what percent of 20 ?

150%

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50 is what percent of 40 ?

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840 is what percent of 480 ?

175%

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790 is what percent of 395 ?

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Solve Applications of Percents

In the following exercises, solve the applications of percents.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25 . She wants to leave 16% of the total bill as a tip. How much should the tip be?

$11.88

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When Hiro and his co-workers had lunch at a restaurant the bill was $90.50 . They want to leave 18% of the total bill as a tip. How much should the tip be?

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Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was $2,165 . How much money was deposited to Trong's savings account?

$259.80

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Cherise deposits 8% of each paycheck into her retirement account. Her last paycheck was $1,485 . How much did Cherise deposit into her retirement account?

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One serving of oatmeal has 8 grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber?

24.2 grams

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One serving of trail mix has 67 grams of carbohydrates, which is 22% of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

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A bacon cheeseburger at a popular fast food restaurant contains 2,070 milligrams (mg) of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?

2,407 grams

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A grilled chicken salad at a popular fast food restaurant contains 650 milligrams (mg) of sodium, which is 27% of the recommended daily amount. What is the total recommended daily amount of sodium?

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The nutrition fact sheet at a fast food restaurant says the fish sandwich has 380 calories, and 171 calories are from fat. What percent of the total calories is from fat?

45%

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The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has 190 calories, and 114 calories are from fat. What percent of the total calories is from fat?

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Practice Key Terms 2

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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