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- Percentage Calculator

This calculator is a free online math tool that **solves eight types of percentage problems**.Just input the values into the sentence that best describes the problem involving percentages, and the calculator will generatea step-by-step solution.

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Percentage calculator – Widget Code

Feel free to copy the widget code below and paste it into your website or blog.The widget will look like the example below.

**Widget preview:**Percentage calculator

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EXAMPLES

example 1:ex 1:

Find 45% of 120.

example 2:ex 2:

What is 45% of 60 %

example 3:ex 3:

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 received a 60% on a maths exam that included 20 problems.How many problems did the student properly answer on this test?

example 6:ex 6:

The whale population numbers 140 pairs. If the number of pairs increases by 8%, how many pairs will there be altogether?

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?

Find more worked-out examples in the database of solved problems..

TUTORIAL

## How to solve percentage problems?

This calculator solves eight different types of percenatge problems.We will use some examples to show each type.

**Type 1:** What is x % of y?

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

### Solution:

**Step1:** Change the 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

solve using calculator

**Type 2:** x is what percent of y?

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

### Solution:

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

16 | is | what percent | of | 40 |

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

**Step2:** Solve for $ x $

$$\begin{aligned}15 &= x \cdot 40 \\40 \cdot x &= 15 \\x &= \frac{15}{40} \\x &= 0.375 \\\end{aligned}$$

**Step3: **Multiply **x** by **100%** to convert the result to a percentage.

$$ 0.375 = 0.375 \cdot 100 \% = 37.5 \% $$

solve using calculator

**Type 3:** Percentage increase

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

### Solution:

To solve this problem, we apply the **percentage increase formula**:

$$\text{% increase} = \dfrac{ \text{final amount} - \text{ initial amount} }{ \text{ initial amount} } \times100$$

After putting the initial amount to 15 and the final amount to 18, we get:

$$\begin{aligned}\text{% increase} &= \dfrac{ 18 - 15 }{ 15 } \times 100 = \\[1.2em]&= \dfrac{ 3 }{ 15 } \times 100 = \\[1.2em]&= 0.2 \times 100 = \\[1.2em]& = 20 \%\end{aligned}$$

solve using calculator

**Type 4:** Percentage decrease

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

### Solution:

To solve this problem we use **percentage decrease formula**:

$$\text{% decrease} = \dfrac{ \text{initial amount} - \text{ final amount} }{ \text{ initial amount} } \times100$$

After putting the initial amount to 135 and final amount to 110 we get:

$$\begin{aligned}\text{% increase} &= \dfrac{ 135 - 110 }{ 135 } \times 100 = \\[1.2em]&= \dfrac{ 25 }{ 135 } \times 100 = \\[1.2em]&= 0.185 \times 100 = \\[1.2em]& = 18.5 \%\end{aligned}$$

solve using calculator

**Type 5:** What percent of X is Y?

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

### Solution:

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

What percent | of | 80 | is | 25 |

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

**Step2:** Solve for $ x $

$$\begin{aligned}x \cdot 80 &= 25 \\x &= \frac{25}{80} \\x &= 0.3125 \\\end{aligned}$$

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

$$ 0.3125 = 0.3125 \cdot 100 \% = 31.25 \% $$

solve the problem using calculator

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