Percentage Calculator
Calculate percentages, percentage changes, and solve percentage-related problems with ease. Choose from three calculation modes to find exactly what you need.
Result
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Formula:
Result = (Percentage ÷ 100) × Value
Example:
What is 20% of 100?
Result = (20 ÷ 100) × 100 = 20
Result = (Percentage ÷ 100) × Value
Example:
What is 20% of 100?
Result = (20 ÷ 100) × 100 = 20
Result
--
Formula:
Percentage = (Part ÷ Whole) × 100
Example:
20 is what % of 100?
Percentage = (20 ÷ 100) × 100 = 20%
Percentage = (Part ÷ Whole) × 100
Example:
20 is what % of 100?
Percentage = (20 ÷ 100) × 100 = 20%
Result
--
Formula:
% Change = ((New - Original) ÷ Original) × 100
Example:
% Change from 100 to 120?
% Change = ((120 - 100) ÷ 100) × 100 = 20%
% Change = ((New - Original) ÷ Original) × 100
Example:
% Change from 100 to 120?
% Change = ((120 - 100) ÷ 100) × 100 = 20%
About Percentage Calculator
A percentage is a number or ratio expressed as a fraction of 100. It's one of the most common mathematical concepts used in everyday life, from calculating discounts and tips to understanding statistics and financial data.
Our Percentage Calculator provides three essential calculation modes to handle the most common percentage problems you'll encounter.
Common Uses of Percentages
- Discounts: Calculate sale prices and discount amounts at stores.
- Tips: Figure out how much to tip at restaurants and services.
- Taxes: Determine tax amounts on purchases and income.
- Grades: Calculate percentage scores on tests and assignments.
- Finance: Understand interest rates, returns, and investment gains.
- Statistics: Interpret data, surveys, and statistical information.
- Growth: Track percentage increases or decreases over time.
Limitations & Considerations
- Rounding: Results are rounded to a reasonable number of decimal places.
- Division by Zero: Cannot calculate percentages when the whole value is zero.
- Negative Numbers: Percentages of negative numbers work mathematically but may not make sense in real-world contexts.
- Precision: For very large or very small numbers, floating-point precision may affect results.
Percentage Formulas
| Calculation Type | Formula | Example |
|---|---|---|
| What is X% of Y? | Result = (X ÷ 100) × Y | 20% of 50 = 10 |
| X is what % of Y? | % = (X ÷ Y) × 100 | 10 is 20% of 50 |
| % Change from X to Y | % = ((Y - X) ÷ X) × 100 | 50 to 60 = 20% increase |
| Percentage Increase | Result = Original × (1 + %/100) | 100 + 20% = 120 |
| Percentage Decrease | Result = Original × (1 - %/100) | 100 - 20% = 80 |
Frequently Asked Questions
What's the difference between percentage increase and decrease?
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Percentage increase shows how much something has grown (positive %), while percentage decrease shows how much something has shrunk (negative %). For example, 100 to 120 is a 20% increase, while 100 to 80 is a 20% decrease.
How do I calculate a discount?
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To calculate a discount: Discount Amount = (Discount % ÷ 100) × Original Price. Then subtract from the original price to get the final price. For example, a 20% discount on $100 = $20 discount, final price = $80.
How do I calculate a tip?
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To calculate a tip: Tip Amount = (Tip % ÷ 100) × Bill Amount. For example, a 15% tip on a $50 bill = $7.50 tip. Common tip percentages are 15%, 18%, and 20%.
Can percentages be greater than 100%?
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Yes, percentages can be greater than 100%. This typically occurs with percentage increases. For example, if something doubles, that's a 100% increase. If it triples, that's a 200% increase.
How do I calculate percentage points vs percentage?
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Percentage points are absolute differences, while percentage is relative. For example, if something goes from 20% to 25%, that's a 5 percentage point increase, but a 25% increase in the percentage itself.