Percentage Calculators For Common Phrases
Percent Change/Increase/Decrease Calculator
Percent Difference Calculator
While our percentage calculator is a handy way to solve your percentage problems, we'll explain the math involved in all of the calculations below.
How to Find Percentage of a Number
This section explains how to answer the question "What is p% of x?".
The formula to find the percentage of a number is:
p% * x = y
Example: What's 10% of 30? Using the percentage formula: p% * x = y:
- For this example, our equation is 10% * 30 = y
- To start, convert the percentage (p) to a decimal by removing the percent sign (%) and dividing the number by 100. For our example: 10 / 100 = 0.1
- To find y, multiply the decimal form of the percentage by x. In this case: 0.1 * 30 = 3
In the example above, y = 3. In other words, 10% of 30 is 3.
10% * 30 = y
0.1 * 30 = 3
How to Solve "x is p% of what?"
The formula for calculating "x is p% of what?" is:
x / p% = y
Example: 10 is 20% of what? using the formula x / p% = y:
- For this example, our equation is 10 / 20% = y
- To start, convert our percentage to a decimal by removing the percent sign and dividing it by 100. In this case, 20 / 100 = 0.2.
- Divide x by the decimal form of the percentage: 10 / 0.2 = 50
In this example, 10 is 20% of 50.
10 / 20% = y
10 / 0.2 = 50
How to Solve "x is What Percent of y?"
The formula for calculating "x is what percent of y?" is:
x / y = p%
Example: 4 is what percent of 10? Using the formula: x / y = p%
- For this example, our equation is 4 / 10 = p%
- 4 divided by 10 = 0.4 Note: This is in decimal form!
- To convert the decimal to a percentage, multiply 0.4 * 100 = 40%.
In this example, 4 is 40% of 10.
4 / 10 = p%
.4 * 100 = 40%
Other Useful Tools and Guides
- See our percent change calculator, percent increase calculator, and percent decrease calculator for the formulas and examples for these calculations.
- Though often confused with percent change, our percent difference calculator explains the distinction between the two calculations and explains the formula for percentage difference.
- Use these calculators to convert a fraction to a percentage or a percentage to a fraction.