Percentage calculator with all steps

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

Type 2: x is what percent of y?

Example: 16 is what percent of 40?

Solution:

Step1: Translate the words into an equation

Step2: Solve for

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

0.375 = 0.375 · 100% = 37.5%

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:

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

Type 4: Percentage decrease

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

Solution:

To solve this problem we use percentage decrease formula:

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

Type 5: What percent of X is Y?

Example: What percent of 80 is 25?

Solution:

Step1: Translate the words into an equation

Step2: Solve for x

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

0.3125 = 0.3125 · 100% = 31.25%

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