Percentage Calculator
Calculate percentages, percentage changes, discounts, and more with our comprehensive percentage calculator. Get instant results with step-by-step explanations and learn percentage mathematics.
Basic Percentage Calculator
Calculate what percentage of a value is, or find a percentage of a number.
Find Percentage of a Number
About Our Percentage Calculator
Our comprehensive percentage calculator is designed to handle all your percentage calculation needs. Whether you're calculating basic percentages, determining percentage changes, computing discounts, or working with complex percentage problems, this tool provides accurate results with detailed explanations.
Key Features
- Basic Percentage Calculator: Calculate what percentage of a number is, or find a percentage of a value
- Percentage Change Calculator: Determine percentage increase or decrease between two values
- Discount Calculator: Calculate sale prices, discounts, and savings amounts
- Step-by-Step Explanations: Understand how calculations are performed with detailed formulas
- Interactive Examples: Learn from common percentage calculation scenarios
- Multiple Calculation Types: Handle various percentage problems in one tool
- Copy Results: Easily copy calculated results for use elsewhere
- Calculation History: Review your recent percentage calculations
How to Use the Percentage Calculator
- Basic Percentage: Enter the percentage and value to find what percentage of the number equals
- Percentage Change: Input original and new values to calculate the percentage increase or decrease
- Discount Calculator: Enter original price and discount percentage to find the final sale price
- Review Results: See detailed explanations, formulas, and step-by-step calculations
- Copy Results: Use the copy button to save results for future reference
- Learn from Examples: Check the examples tab for common percentage calculation scenarios
Understanding Percentages
Percentages are a way of expressing fractions or proportions out of 100. The word "percent" means "per hundred," so 25% means 25 out of 100, or 25/100, which equals 0.25 as a decimal. Understanding this relationship is key to mastering percentage calculations.
Common Percentage Formulas
- Basic Percentage: (Percentage ÷ 100) × Value = Result
- Percentage of a Number: (Part ÷ Whole) × 100 = Percentage
- Percentage Change: ((New Value - Old Value) ÷ Old Value) × 100 = Percentage Change
- Percentage Increase: Original Value + (Percentage × Original Value) = New Value
- Percentage Decrease: Original Value - (Percentage × Original Value) = New Value
- Discount Price: Original Price - (Discount Percentage × Original Price) = Sale Price
Real-World Applications
Percentage calculations are essential in many real-world scenarios: calculating tips at restaurants, determining tax amounts, computing discounts during sales, analyzing financial investments, measuring academic grades, tracking business growth, calculating loan interest, and analyzing statistical data. Our calculator helps you handle all these situations with accuracy and confidence.
Tips for Better Percentage Calculations
- Always double-check your input values for accuracy
- Remember that percentage change can be negative (decrease) or positive (increase)
- For discounts, the final price should always be less than the original price
- Use the formula explanations to understand the mathematical process
- Verify results with mental math for simple calculations when possible
- Keep track of your calculations for reference and verification