- Calculators
- ::
- Numbers
- ::
- Percentage Calculator

Percentage calculator is a free online tool that solves eight different types of percent-related problems. To get a step-by-step solution for percentage problems, simply enter the values in the appropriate sentence.

working...

Examples

ex 1:

Find 45% of 120.

ex 2:

What is 45% of 60 %

ex 3:

150 is what percent of 400?

ex 4:

What is the percentage increase from to 50 to 75?

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?

ex 6:

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

ex 7:

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

Related calculators

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

TUTORIAL

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

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

**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

**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 for $ x $

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

0.375 = 0.375 · 100% = 37.5%

**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 apply the **percentage increase formula**:

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

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

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

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

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

0.3125 = 0.3125 · 100% = 31.25%

Search our database with more than 300 calculators

446 662 915 solved problems

×

ans:

syntax error

C

DEL

ANS

±

(

)

÷

×

7

8

9

–

4

5

6

+

1

2

3

=

0

.