Percentage Calculator
Calculate percentages, percentage changes, and solve percentage problems with our comprehensive and easy-to-use calculator.
Percentage Calculator
Calculate Percentage of a Value
Enter values to see the result
Percentage Formulas
Basic Percentage
P% of X = (P/100) × X
Percentage of a Number
Y is what % of X = (Y/X) × 100
Percentage Change
% Change = ((New - Original) / |Original|) × 100
Common Percentages
How to Use the Percentage Calculator
Our Percentage Calculator is designed to help you solve various percentage-related problems. Follow these simple steps to get started:
- Choose calculation type - Select the type of percentage calculation you want to perform:
- Find the percentage of a number (e.g., what is 15% of 200?)
- Find what percentage one number is of another (e.g., 30 is what percentage of 120?)
- Find the original number when you know the percentage and result (e.g., 15% of what number is 30?)
- Calculate percentage increase or decrease (e.g., from 80 to 100 is what percentage increase?)
- Enter the values - Input the required values based on your selected calculation type.
- View the results - Instantly see the calculated percentage or value, along with a step-by-step explanation.
- Save or share - Save your calculation to history or share the results with others.
You can also use the advanced options to perform multiple percentage calculations or to apply different percentage operations in sequence.
Features of Our Percentage Calculator
Multiple Calculation Types
Solve different types of percentage problems with a single calculator, from finding percentages to calculating percentage changes.
Step-by-Step Explanations
See the formula and steps used to arrive at the answer, helping you understand the calculation process.
Percentage Change Calculator
Calculate percentage increases and decreases between two values, perfect for analyzing growth or reduction.
Visual Representations
See visual charts that represent your percentage calculations, making it easier to understand the results.
Benefits of Using Our Percentage Calculator
Percentages are used in countless everyday situations, from shopping discounts to financial planning. Here's how our percentage calculator benefits you:
- Educational Tool - Learn how percentage calculations work with step-by-step explanations.
- Financial Planning - Calculate interest rates, tax percentages, and investment returns accurately.
- Shopping Assistant - Quickly determine discounts, sales tax, and tip amounts.
- Business Analysis - Calculate profit margins, growth rates, and market share percentages.
- Time Saving - Get instant, accurate percentage calculations without manual work or complex formulas.
Common Percentage Calculations
Finding a Percentage of a Number
To find a percentage of a number, multiply the number by the percentage (converted to a decimal). For example, to find 15% of 200: 200 × 0.15 = 30.
Finding What Percentage One Number is of Another
To find what percentage one number is of another, divide the first number by the second, then multiply by 100. For example, to find what percentage 30 is of 120: (30 ÷ 120) × 100 = 25%.
Percentage Increase or Decrease
To find the percentage change, subtract the old value from the new value, divide by the old value, then multiply by 100. For example, to find the percentage increase from 80 to 100: [(100 - 80) ÷ 80] × 100 = 25% increase.
Finding the Original Number
To find the original number when you know the percentage and result, divide the result by the percentage (converted to a decimal). For example, if 15% of a number is 30, the original number is: 30 ÷ 0.15 = 200.
Frequently Asked Questions
How do I convert a percentage to a decimal?
To convert a percentage to a decimal, divide the percentage by 100. For example, 25% becomes 25 ÷ 100 = 0.25.
How do I convert a decimal to a percentage?
To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.75 becomes 0.75 × 100 = 75%.
What's the difference between percentage points and percentages?
Percentage points measure the absolute difference between two percentages, while percentage change measures the relative difference. For example, if an interest rate increases from 5% to 7%, that's a 2 percentage point increase, but a 40% increase in the rate itself (because (7-5)/5 = 0.4 or 40%).
Can percentages be greater than 100%?
Yes, percentages can exceed 100%. A percentage greater than 100% means the value is more than the reference value. For example, if a company's profits increase from $100,000 to $250,000, that's a 150% increase.