Online Percentage Calculator
Calculate percentages in three common ways: find a percentage of a number, determine what percent one value is of another, or calculate percentage increase and decrease.
Percentage Calculator
Choose the percentage question you want to solve, enter the values and calculate the result.
Example: 25% of 200 = 50.
Example: 50 is 25% of 200.
Example: moving from 120 to 150 is a 25% increase.
How to Use the Percentage Calculator
ToolZippy’s Percentage Calculator combines three common percentage calculations in one tool. Select the mode that matches your question, enter the required numbers and select Calculate.
Find X% of a Number
Use the first mode when you know a percentage and want to find the corresponding amount. Multiply the number by the percentage divided by 100.
For example, 15% of 80 is:
Find What Percent One Number Is of Another
Use the second mode when you know a part and a reference value and want to express their relationship as a percentage.
For example, if 42 questions are answered correctly out of 50:
The second value cannot be zero because division by zero is undefined.
Calculate Percentage Change
Percentage change compares a new value with an original value. For ordinary positive starting values, the familiar formula is:
For example, an increase from 120 to 150 is:
This calculator reports the change relative to the magnitude of the original value, using |Original| in the denominator. That keeps the displayed direction tied to whether the numerical value moved upward or downward.
Percentage change becomes less intuitive when values cross zero or begin below zero. In those situations, the numeric percentage may not communicate the real-world change clearly. Consider reporting the original value, new value and absolute difference alongside the percentage.
Understanding Percentages
A percentage expresses a quantity relative to 100. The word “percent” means “per hundred,” so 25% represents 25 out of every 100, while 50% represents one half of a whole.
Percentages are useful because they put different quantities onto a common scale. For example, a score of 45 out of 50 and a score of 90 out of 100 are both 90%, making them easier to compare.
Discount Example
Suppose an item costs 80 and is discounted by 20%. First calculate 20% of 80:
Subtract 16 from the original price, giving a sale price of 64. For a tool that calculates both discount amount and final price, use the Discount Calculator.
Exam Score Example
If a student answers 42 questions correctly out of 50, divide 42 by 50 and multiply by 100:
Increase Example
If a monthly cost rises from 500 to 575, the difference is 75. Relative to the original 500:
Target Completion Example
If 72 orders are completed against a target of 90:
Common Uses of Percentage Calculations
Percentage calculations appear in many everyday situations. The correct interpretation depends on what the two numbers represent.
- Shopping: calculate discounts, savings and price changes.
- Education: convert marks or correct answers into percentages.
- Business: compare sales, costs, targets and performance figures.
- Budgeting: determine what share of a total budget is used by an expense.
- Statistics: express a portion of a group or dataset relative to the whole.
- Tips: calculate a percentage of a bill.
- Growth: compare a new positive value with an earlier positive value.
For a dedicated old-versus-new comparison, use the Percentage Change Calculator. Business calculations are also available in the Business Calculators section.
Percentage vs Percentage Points
A percentage change and a change in percentage points are not the same thing. If a rate rises from 20% to 25%, it increased by 5 percentage points. Relative to the original 20%, however, the increase is 25%.
Keeping these two ideas separate is important when comparing rates, survey results, margins and other values already expressed as percentages.
Rounding and Precision
The calculator keeps more precision internally and displays results with up to six decimal places. For everyday calculations, fewer decimal places may be easier to read. If a particular task requires a defined rounding method, apply that requirement to the final result.
Percentage Calculator FAQs
How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply by the number. For example, 20% of 150 is 30.
How do I find what percentage one number is of another?
Divide the first number by the second number and multiply by 100. For example, 30 divided by 150 and multiplied by 100 gives 20%.
How do I calculate percentage increase?
For a positive original value, subtract the original value from the new value, divide the difference by the original value and multiply by 100.
How do I calculate percentage decrease?
For a positive original value, subtract the new value from the original value, divide the decrease by the original value and multiply by 100.
What is the difference between percentage change and percentage points?
Percentage points describe the direct difference between two percentages. Percentage change describes the relative change compared with the starting value. Moving from 20% to 25% is an increase of 5 percentage points but a 25% relative increase.
Can a percentage be greater than 100%?
Yes. A percentage can exceed 100 when the amount being compared is greater than the reference value. For example, 150 is 150% of 100.
Can a percentage be negative?
Yes, depending on the values and calculation. Negative percentages can occur when signed numbers are used, but their interpretation depends on the context.
Why can’t the second number be zero in the “what percent” calculation?
The formula divides the first number by the second. Division by zero is undefined, so zero cannot be used as the reference value.
Why can’t percentage change start from zero?
Standard percentage change compares the difference with the original value. If the original value is zero, that calculation requires division by zero, so a finite percentage change is not defined.
Does the calculator support decimal values?
Yes. You can enter whole numbers or decimal values in all three calculation modes.
