## Percent, Rate, Base

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#### Study Guide Percent, Rate, Base Mathematics, Grade 6

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SOLVING PERCENT PROBLEMS What Is Solving Percent Problems? A percent is a way of comparing a number with 100. Percents are usually written with a percent sign: 60% or 32% There are 3 ways to represent a percent: as a percent 55%, as a decimal .55 or as a fraction 50/100. Any of the representations can be used to solve a percent problem. To solve a percent problem, multiply the value by the percent using one of the representations for the percent. For example, 65% of 94 could be solved by multiplying .65 X 94 which is 61.1 or by calculating an equivalent fraction 65/100 = n/94. Which method would be easier? How to solve percent problems: Change the percent to a decimal: 45% = .45 88% = .88 17% = .17 Multiply the value by the decimal: 45% of 80 .45 x 80 = 36 88% of 124 .88 x 124 = 109.12 17% of 45 .17 x 45 = 7.65 When solving a word problem with a percent in it: o Read carefully to decide what value is to be broken into a part. o The percent will usually have the % mark next to the number. o The other value will be connected to an item which CAN be broken into its parts. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.