Our free online percentage calculator helps you quickly calculate percentages for any value. Whether you need to find what percentage one number is of another, calculate percentage increase or decrease, or determine the final value after applying a percentage, this tool makes it simple and instant.
Using our percentage calculator is straightforward. Enter the base value in the first field and the percentage you want to calculate in the second field. The calculator will instantly display the result. For example, to find 20% of 100, enter 100 as the value and 20 as the percentage. The result will show 20.
A percentage is a way of expressing a number as a fraction of 100. The term "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are used extensively in everyday life, from calculating discounts and tax rates to expressing statistics and probabilities. The percentage symbol (%) represents one part per hundred.
Finding a Percentage of a Number: To calculate X% of Y, multiply Y by X and divide by 100. For example, 25% of 80 = (80 × 25) ÷ 100 = 20.
Percentage Increase: To find the percentage increase from an old value to a new value, subtract the old value from the new value, divide by the old value, and multiply by 100. Formula: ((New - Old) / Old) × 100.
Percentage Decrease: Similar to percentage increase, but the result will be negative. Formula: ((New - Old) / Old) × 100.
Finding What Percentage One Number is of Another: Divide the first number by the second number and multiply by 100. For example, to find what percentage 15 is of 60: (15 ÷ 60) × 100 = 25%.
Percentages are essential in many real-world scenarios:
Shopping and Discounts: Calculate the final price after a discount. If a $50 item has a 20% discount, you save $10 and pay $40.
Sales Tax: Determine the total cost including tax. With a 7% sales tax on a $100 purchase, you pay an additional $7, totaling $107.
Tips and Gratuities: Calculate restaurant tips quickly. A 15% tip on a $80 meal is $12, making the total $92.
Financial Calculations: Interest rates, investment returns, and loan calculations all use percentages. Understanding percentage changes helps track portfolio performance.
Grade Calculations: Convert test scores to percentages. If you answered 45 out of 50 questions correctly, your score is 90%.
Statistics and Data Analysis: Express survey results, market share, growth rates, and other statistical data as percentages for easy comparison.
Example 1 - Simple Percentage: What is 30% of 200?
Calculation: (200 × 30) ÷ 100 = 60
Answer: 60
Example 2 - Discount Calculation: A $150 jacket is 25% off. What's the sale price?
Discount amount: (150 × 25) ÷ 100 = $37.50
Sale price: $150 - $37.50 = $112.50
Example 3 - Percentage Increase: A stock rose from $50 to $65. What's the percentage increase?
Calculation: ((65 - 50) ÷ 50) × 100 = 30%
The stock increased by 30%
Example 4 - Finding Percentage: 24 is what percent of 120?
Calculation: (24 ÷ 120) × 100 = 20%
Answer: 20%
Converting Decimals to Percentages: Multiply the decimal by 100. For example, 0.75 = 75%.
Converting Percentages to Decimals: Divide the percentage by 100. For example, 45% = 0.45.
Converting Fractions to Percentages: Divide the numerator by the denominator and multiply by 100. For example, 3/4 = (3 ÷ 4) × 100 = 75%.
Quick Mental Calculations: For 10%, move the decimal point one place left. For 1%, move it two places left. For 5%, calculate 10% and divide by 2.
While manual percentage calculations are straightforward, using our calculator saves time and eliminates errors. It's perfect for quick calculations while shopping, studying, working with financial data, or analyzing statistics. The tool works instantly, requires no downloads or registration, and handles decimal values with precision. All calculations are performed in your browser, ensuring your data remains private.
Your privacy is important to us. All calculations are performed locally in your web browser using JavaScript. We don't store, transmit, or save any of your input data on our servers. The calculator works offline once the page is loaded, so you can use it without an internet connection. Your calculations remain completely private and secure.