Easily calculate a percentage of any given number for quick results.
Find the percentage value of a number relative to another total amount
Quickly calculate the percentage increase or decrease between two values
A percentage calculator is a tool that helps you perform various percentage-based calculations quickly and accurately. Percentages represent parts per hundred and are used in everyday situations from shopping discounts to financial analysis, academic grading, and statistical reporting.
Our calculator offers multiple functions to handle different percentage calculations:
1. Finding a percentage of a number:
Percentage × Number ÷ 100 = Result
Example: 25% of 80 = 25 × 80 ÷ 100 = 20
2. Finding what percentage one number is of another:
(Value ÷ Total) × 100 = Percentage
Example: 15 is what % of 60? (15 ÷ 60) × 100 = 25%
3. Calculating percentage change:
((New Value - Original Value) ÷ |Original Value|) × 100 = % Change
Example: Change from 50 to 65: ((65 - 50) ÷ 50) × 100 = 30% increase
Our percentage calculator website is designed to be intuitive and easy to use:
Select the appropriate calculator from the navigation bar based on what you need to calculate.
Fill in the required fields with your numbers. The calculator accepts decimal values.
Results are calculated automatically as you type, or you can click the Calculate button.
Your recent calculations are saved for quick reference.
To calculate a percentage of a number, you multiply the percentage by the number and divide by 100.
Example 1: Calculate 15% of 200
Step 1: Convert the percentage to a decimal: 15% = 15/100 = 0.15
Step 2: Multiply by the number: 0.15 × 200 = 30
Result: 15% of 200 is 30
Example 2: Calculate 7.5% of 80
Step 1: Convert the percentage to a decimal: 7.5% = 7.5/100 = 0.075
Step 2: Multiply by the number: 0.075 × 80 = 6
Result: 7.5% of 80 is 6
Using our calculator, simply enter the percentage in the first field and the number in the second field, then click Calculate to get your result instantly.
Percentage increase or decrease measures the relative change between an original value and a new value.
Formula: ((New Value - Original Value) ÷ |Original Value|) × 100 = % Change
If the result is positive, it's a percentage increase.
If the result is negative, it's a percentage decrease.
Example 1 (Increase): Price changed from $80 to $100
Step 1: Calculate the difference: $100 - $80 = $20
Step 2: Divide by the original value: $20 ÷ $80 = 0.25
Step 3: Convert to percentage: 0.25 × 100 = 25%
Result: The price increased by 25%
Example 2 (Decrease): Population changed from 5000 to 4250
Step 1: Calculate the difference: 4250 - 5000 = -750
Step 2: Divide by the original value: -750 ÷ 5000 = -0.15
Step 3: Convert to percentage: -0.15 × 100 = -15%
Result: The population decreased by 15%
Percentage change is a way to express the difference between two values as a percentage of the original value.
Steps to calculate percentage change:
1. Subtract the original value from the new value
2. Divide the result by the absolute value of the original value
3. Multiply by 100 to get the percentage
Using our Percentage Change calculator, simply enter the original value in the "From Value" field and the new value in the "To Value" field. The calculator will automatically determine whether it's an increase or decrease.
Tip: Percentage change can be used for analyzing trends, measuring growth, evaluating performance, and comparing values over time.
Basic Percentage Formulas:
• P% of X = (P × X) ÷ 100
• X is what percent of Y? = (X ÷ Y) × 100
• Percentage Change = ((New - Original) ÷ |Original|) × 100
• Percentage Difference = (|A - B| ÷ ((A + B) ÷ 2)) × 100
• Percentage Error = (|Measured - Actual| ÷ |Actual|) × 100
• Discount Amount = Original Price × (Discount % ÷ 100)
• Sale Price = Original Price × (1 - (Discount % ÷ 100))
• Profit Percentage = (Profit ÷ Cost) × 100
• Markup Percentage = (Selling Price - Cost) ÷ Cost × 100
These formulas form the foundation of all percentage calculations and can be applied to a wide range of real-world scenarios.
Example 1: Shopping Discount
A shirt costs $50 and is on sale for 30% off. How much will you pay?
Discount amount = $50 × (30 ÷ 100) = $15
Sale price = $50 - $15 = $35
Example 2: Test Score
You got 42 questions correct out of 50 questions. What is your percentage score?
Percentage = (42 ÷ 50) × 100 = 84%
Example 3: Population Growth
A city's population grew from 125,000 to 137,500 over five years. What was the percentage increase?
Percentage change = ((137,500 - 125,000) ÷ 125,000) × 100 = 10%
Example 4: Tax Calculation
If a meal costs $80 and there's a 7.5% sales tax, how much is the total bill?
Tax amount = $80 × (7.5 ÷ 100) = $6
Total bill = $80 + $6 = $86