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example problems

example 1:ex 1:

Calculate 45% of 120.

example 2:ex 2:

What is 45% of 60 %

example 3:ex 3:

The number 150 is what percent of 400?

example 4:ex 4:

What is the percentage increase from to 50 to 75?

example 5:ex 5:

The student achieved a score of 60% on a mathematics examination consisting of 20 problems.
What is the number of problems that the student answered correctly on this test?

example 6:ex 6:

The whale population is 140 pairs. If the number of pairs increases by 8%, what will be the total number
of pairs?

example 7:ex 7:

The workforce at a corporation decreased from 40 to 29 personnel. What is the percentage decrease in the
number of employees?

TUTORIAL

This calculator uses percentage formula to solves 5 types of percentage problems.

**Example:** What is 40% of 60?

**Step1:** Change word **of** to multiplication sign.

40% of 60 = 40% * 60

**Step2:** Change 40% to decimal number by dividing 40% by 100 [ 40% = 40/100 = 0.4 ]

40% * 60 = 0.4 * 60 = 24

**Example:** 16 is what percent of 40?

**Step1:** Translate the words into an equation

16 | is | what percent | of | 40 |

16 | = | x | $ \cdot $ | 40 |

**Step2:** Solve the $ x $

**Step3:** Express $ x $ as a percentage (fraction of 100) by multiplying the result by 100.

**Example:** Mark’s hourly salary is \$15. What is the percentage increase in the salary if it is
raised to \$18?

To solve this problem we use percentage increase formula:

$$ \text{% increase} = \dfrac{ \text{final amount} - \text{ initial amount} }{ \text{ initial amount} } \times 100 $$After putting **initial amount = 15** and **final amount = 18** we have:

**Example:** The workforce at a corporation decreased from 135 to 110 personnel. What is the
percentage decrease in the number of employees?

To solve this problem we use percentage decrease formula:

$$ \text{% decrease} = \dfrac{ \text{initial amount} - \text{ final amount} }{ \text{ initial amount} } \times 100 $$
After putting **initial amount = 135** and **final amount = 110** we have:

**Example:** What percent of 80 is 25?

**Step1:** Translate the words into an equation

What percent | of | 80 | is | 25 |

x | $\cdot$ | 80 | = | 25 |

**Step2:** Solve the $ x $

**Step3:** Express $ x $ as a percentage by multiplying the result by 100.

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