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Math Fundamentals
Percent

1
Percents, Decimals, and Fractions

Problem 1

Write each percent as a fraction with a denominator of \(100\).

  1. \(33\%\)

  2. \(6\%\)

  3. \(160\%\)

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Mrs. Mooney cc
Mrs. Mooney
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 2

Change \(35.2\%\) to a decimal.

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Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 3

Write each percent as a decimal.

  1. \(37\%\)

  2. \(68\%\)

  3. \(120\%\)

  4. \(0.8\%\)

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Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 4

Change \(0.5\%\) to a decimal.

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Julieta cc
Julieta
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 5

Write each decimal as a percent.

  1. \(0.27\)

  2. \(4.89\)

  3. \(0.5\)

  4. \(0.09\)

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Julieta cc
Julieta
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 6

A softball player has a batting average of \(0.650\). Write this number as a percent.

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Stephanie cc
Stephanie
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 7

Write each percent as a fraction in lowest terms.

  1. \(19\%\)

  2. \(45\%\)

  3. \(36\%\)

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Julieta cc
Julieta
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc spanish language icon
Edwin
Problem 8

Change \(4.5\%\) to a fraction.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 9

Change \(32\frac{1}{2}\%\) to a fraction.

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Katrina cc
Katrina
Nathan cc
Nathan
Julieta cc spanish language icon
Julieta
Problem 10

Change \(\dfrac{7}{10}\) to a percent.

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 11

Change \(\dfrac{3}{8}\) to a percent.

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Nathan cc
Nathan
Stephanie cc
Stephanie
Gordon cc
Gordon
Edwin cc spanish language icon
Edwin
Problem 12

Change \(\dfrac{5}{12}\) to a percent.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 13

Change \(2\frac{1}{2}\) to a percent.

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Gordon cc
Gordon
Stephanie cc
Stephanie
Mrs. Mooney cc
Mrs. Mooney
Edwin cc spanish language icon
Edwin

2
Basic Percent Problems

Problem 1

What number is \(15\%\) of \(63\)?

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Nathan cc
Nathan
David cc spanish language icon
David
Problem 2

What percent of \(42\) is \(21\)?

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Aaron cc
Aaron
David cc spanish language icon
David
Problem 3

\(25\) is \(40\%\) of what number?

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Mr. McKeague cc
Mr. McKeague
Nathan cc
Nathan
David cc spanish language icon
David
Problem 4

What number is \(43.5\%\) of \(25\)?

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Katrina cc
Katrina
Aaron cc
Aaron
David cc spanish language icon
David
Problem 5

What percent of \(78\) is \(31.9\)?

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Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
David cc spanish language icon
David
Problem 6

\(34\) is \(29\%\) of what number?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
David cc spanish language icon
David
Problem 7

Application. See text.

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Katherine cc
Katherine
Katrina cc
Katrina
Gordon cc
Gordon
Problem 8

What number is \(15\%\) of \(63\)? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 9

What percent of \(42\) is \(21\)? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Gordon cc
Gordon
Julieta cc spanish language icon
Julieta
Problem 10

\(25\) is \(40\%\) of what number? (Use proportions.)

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin

3
General Applications of Percent

Problem 1
example image
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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc spanish language icon
David
Problem 2
example image
Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David cc spanish language icon
David
Problem 3
example image
Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
Arielle cc
Arielle
David cc spanish language icon
David
Problem 4
example image
Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc spanish language icon
David
Problem 5
example image
Choose instructor to watch:
Katherine cc
Katherine
Logan cc
Logan
Octabio spanish language icon
Octabio

4
Sales Tax and Commission

Problem 1
example image
Choose instructor to watch:
Arielle cc
Arielle
Anthony cc
Anthony
David cc spanish language icon
David
Problem 2
example image
Choose instructor to watch:
Gordon cc
Gordon
Arielle cc
Arielle
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 3

Suppose the purchase price of a stereo system is \(\$396\) and the sales tax is \(\$19.80\). What is the sales tax rate?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc spanish language icon
Julieta
Problem 4
example image
Choose instructor to watch:
Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
Edwin cc spanish language icon
Edwin
Problem 5
example image
Choose instructor to watch:
Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
Problem 6
example image
Choose instructor to watch:
Nathan cc
Nathan
Katrina cc
Katrina
Gordon cc
Gordon
Edwin cc spanish language icon
Edwin

5
Percent Increase or Decrease and Discount

Problem 1

If a person earns \(\$22,000\) a year and gets a \(5\%\) increase in salary, what is the new salary?

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 2

Use the information in the bar chart to find the percent increase in iPhone sales from 2011 to 2012.

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Katherine cc
Katherine
Logan cc
Logan
Octabio spanish language icon
Octabio
Problem 3

Shoes that usually sell for \(\$25\) are on sale for \(\$21\). What is the percent decrease in price?

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Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc spanish language icon
Edwin
Problem 4

During a clearance sale, a suit that usually sells for \(\$300\) is marked "\(25\%\) off." What is the discount price? What is the sale price?

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Katherine cc
Katherine
Gordon cc
Gordon
Nathan cc
Nathan
Julieta spanish language icon
Julieta
Problem 5

A washing machine usually sells for \(\$450\), but it is on sale at \(12\%\) off. If the sales tax rate is \(5\%\), what is the total cost of the washer?

Choose instructor to watch:
Katherine cc
Katherine
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin spanish language icon
Edwin

6
Interest

Problem 1
example image
Choose instructor to watch:
Katherine cc
Katherine
Octabio cc
Octabio
Julieta cc spanish language icon
Julieta
Problem 2
example image
Choose instructor to watch:
Katherine cc
Katherine
Logan cc
Logan
Octabio spanish language icon
Octabio
Problem 3
example image
Choose instructor to watch:
Betsy cc
Betsy
Aaron cc
Aaron
Edwin spanish language icon
Edwin
Problem 4
example image
Choose instructor to watch:
Katherine cc
Katherine
Octabio cc
Octabio
Octabio spanish language icon
Octabio
Problem 5
example image
Choose instructor to watch:
Katherine cc
Katherine
Logan cc
Logan
Octabio spanish language icon
Octabio
Problem 6
example image
Choose instructor to watch:
Betsy cc
Betsy
Gordon
Gordon
Edwin spanish language icon
Edwin

7
Test Yourself!

Problem 1

Write as a decimal: \(18\%\)

Choose instructor to watch:
Richard cc
Richard
Problem 2

Write as a decimal: \(4\%\)

Choose instructor to watch:
Richard cc
Richard
Problem 3

Write as a decimal: \(0.5\%\)

Choose instructor to watch:
Richard cc
Richard
Problem 4

Write as a percent: 0.45

Choose instructor to watch:
Richard cc
Richard
Problem 5

Write as a percent:\(0.7\)

Choose instructor to watch:
Richard cc
Richard
Problem 6

Write as a percent:\(1.35\)

Choose instructor to watch:
Richard cc
Richard
Problem 7

Write as a fraction or mixed number in lowest terms:\(65\%\)

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Richard cc
Richard
Problem 8

Write as a fraction or mixed number in the lowest terms:\(146\%\)

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Richard cc
Richard
Problem 9

Write as a fraction or mixed number in lowest terms:\(3.5\%\)

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Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 10

Write as a percent:\(\displaystyle\frac{7}{20}\)

Choose instructor to watch:
Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 11

Write as a percent:\(\displaystyle\frac{3}{8}\)

Choose instructor to watch:
Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 12

Write as a percent:1\(\displaystyle\frac{3}{4}\)

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Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 13

What number is \(75\%\) of 60?

Choose instructor to watch:
Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 14

What percent of 40 is 18?

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Richard cc
Richard
Lauren cc
Lauren
Gordon spanish language icon
Gordon
Problem 15

\(16\) is \(20\%\) of what number?

Choose instructor to watch:
Richard cc
Richard
Lauren cc
Lauren
Problem 16

On a driver’s test, a student answered \(23\) questions correctly on a \(25\)-question test. What percent of the questions did the student answer correctly?

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Richard cc
Richard
Lauren cc
Lauren
Problem 17

A salesperson gets an \(8\%\) commission rate on all computers she sells. If she sells \(\$12,000\) computers in 1 day, what is her commission?

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Richard cc
Richard
Lauren cc
Lauren
Problem 18

A tennis racket that normally sells for \(\$280\) is on sales for \(25\%\) off. If the sales rate is \(5\%\), what is the total price of the tennis racket if it is purchased during the sale?

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Richard cc
Richard
Lauren cc
Lauren
Problem 19

If \(5,000\) is invested at \(8\%\) simple interest for \(3\) months, how much interest is earned?

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Richard cc
Richard
Lauren cc
Lauren
Problem 20

How much interest will be earned on a savings account that pays \(10\%\) compounded annually if \(\$12,000\) is invested for \(2\) years?

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Richard cc
Richard
Lauren cc
Lauren