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# Understanding Percentages

Author: Michael Morgan
##### Description:

The objective of this packet is to develop an understand of new terms and definitions. Also, you will learn what a percentage is and how to use proportions to solve percentage problems.

Learn how percentages work and are calculated

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Tutorial

## What is a Percentage?

By this point in time, you have probably learned about ratios and proportions. Now you're on to percentages, but what exactly is a percentage?

A percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred"). It is often denoted using the percent sign, "%", or the abbreviation "pct". For example, 45% (read as "forty-five percent") is equal to 45 / 100, or 0.45.

## Understanding Percentages

Remember, percentage is nothing more than a fancy word for proportion.

## NOTE: Error in Video

3400/40 is 85.

To get the final discounted price, you have to take 100-85. This will give you the final discount rate of 15%

## Practice Problems

Clicking the link below will lead you to a website with many variations of practice problems.

The type of examples includes:

• Fractions to percents
• Decimals to percents
• Calculating percentage values
• Calculating using percentage values.

PERCENT WORD PROBLEMS

1. Assume you are the manager of a convenience store, and the local sales tax is 6.5%.  At the end of the day, you find sales totaling \$3210.  What is the amount of tax that will be added on to the sales?

2. A gumball machine contains 51 blue, 128 green, and 93 red gumballs.  Find the percent of the gumballs that are blue.

3. The regular price of a tool kit is \$39.99.  If the tool kit is marked 15% off, what is the sale price?

4. Mrs. Kim is a real estate broker.  Her salary is \$2650 per month, plus 0.25% of sales.  To earn \$5000 in a month, how much does she need to sell?

5. Mandy bought a sweater that was marked down 20%.  What was the original cost of the sweater if she saved \$9.00?

1. \$3210  *  .065  =  \$208.65

2. Total gumballs  =  51  +  128  +  93  =  272

51/272  =  .1875   =   18.75%

3.  15%  *  \$39.99  =  \$6.00

Sale price is  \$39.99  -  \$6.00  =  \$33.99

4. \$5000  -  \$2650  =  \$2350    This is her sales commission

.25%  *  amount of sales  =  \$2350

.0025   *   x   =   2350

x    =   \$940,000

5.  20%  of the cost  =  \$9.00

cost   =   \$45

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