Math
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Percentage Calculator.
Calculate percentages, increases, decreases, and percentage changes
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How to Use
Basic: Calculate X% of Y
Of: Find what percentage X is of Y
Change: Calculate percentage change from X to Y
Increase/Decrease: Increase or decrease X by Y%
FAQs
How do I calculate what percentage A is of B?
Divide A by B and multiply by 100: (A Ãˇ B) à 100 = Percentage.
How do I calculate percentage increase or decrease?
Subtract the old value from the new value, divide by the old value, and multiply by 100.
How to Use the Percentage Calculator
Calculate percentages, percentage increases, decreases, and find what percentage one number is of another.
- Select the calculation type: Find percentage, Find percentage increase/decrease, or Find what percentage X is of Y.
- Enter the required values in the input fields.
- Click Calculate to see the result.
- The calculator will show both the numerical result and a breakdown of the calculation.
Percentage Formulas
Understanding the mathematical formulas behind percentage calculations helps you verify results and understand the math.
Find Percentage
To find what percentage a part is of a whole, divide the part by the whole and multiply by 100.
Example:
Input: Part = 25, Whole = 100
Calculation: (25 / 100) Ã 100
Result: 25%
Percentage Increase
Calculates the percentage increase from an original value to a new value.
Example:
Input: Original = 50, New = 75
Calculation: [(75 - 50) / 50] Ã 100
Result: 50% increase
Percentage Decrease
Calculates the percentage decrease from an original value to a new value.
Example:
Input: Original = 100, New = 80
Calculation: [(100 - 80) / 100] Ã 100
Result: 20% decrease
Find Value from Percentage
Finds the actual value when you know the percentage and the whole amount.
Example:
Input: Percentage = 15%, Whole = 200
Calculation: (15 / 100) Ã 200
Result: 30
Real-World Use Cases
Percentage calculations are used in countless everyday situations.
Discount Calculations
Calculate sale prices and discounts when shopping. Find the final price after a percentage discount.
Example: A $100 item with a 25% discount: $100 Ã 0.25 = $25 discount, final price = $75
Salary Raises
Calculate percentage increases in salary, or determine what percentage raise you received.
Example: Salary increased from $50,000 to $55,000: [(55,000 - 50,000) / 50,000] Ã 100 = 10% increase
Grade Calculations
Calculate test scores as percentages or determine what grade you need to achieve a target.
Example: Scored 85 out of 100: (85 / 100) Ã 100 = 85%
Tax Calculations
Calculate sales tax, income tax, or VAT using percentage rates.
Example: Purchase of $200 with 8% sales tax: $200 Ã 0.08 = $16 tax, total = $216
Investment Returns
Calculate return on investment or percentage gains/losses on investments.
Example: Investment grew from $1,000 to $1,200: [(1,200 - 1,000) / 1,000] Ã 100 = 20% return
Tips & Best Practices
Tips
- Always verify your percentage calculations by checking if the result makes sense relative to the original value.
- When calculating percentage change, remember that increases and decreases use different formulas.
- For percentage discounts, subtract the discount percentage from 100% first, then multiply by the original price.
- Round percentages appropriately based on the context - financial calculations often use 2 decimal places.
- Double-check your work by calculating the reverse: if you found 20% of 100 = 20, verify that 20 is 20% of 100.
Common Mistakes to Avoid
- Confusing percentage increase and decrease formulas - always subtract the smaller value from the larger.
- Forgetting to multiply by 100 when converting a decimal to a percentage.
- Using the wrong base value in percentage change calculations - always use the original value as the base.
- Mixing up part and whole when calculating what percentage one number is of another.