Percentage Calculator: Calculate Percentages Easily
Percentages are one of the most commonly used mathematical concepts in everyday life. From calculating discounts while shopping to understanding interest rates, tax rates, tip amounts, and grade scores, percentages are everywhere. Our free Percentage Calculator helps you quickly find what percentage one number is of another, calculate a percentage of a number, and express ratios as simplified fractions.
How to Calculate Percentages
The basic percentage formula is: Percentage = (Value / Total) x 100. For example, if you scored 75 out of 100 on a test, your percentage is 75%. To find what percentage 45 is of 200, divide 45 by 200 and multiply by 100 to get 22.5%. Conversely, to find 30% of 250, multiply 250 by 0.30 to get 75. These three types of percentage calculations cover the vast majority of real-world needs.
Common Real-World Applications
Percentages are used everywhere: sales discounts (30% off), restaurant tips (15-20% of the bill), tax rates (sales tax, income tax), interest rates on savings and loans, body fat percentage, battery charge level, download progress, election results, and statistical data in news reports. Understanding percentages helps you make better financial decisions, compare offers, and interpret data accurately.
Percentage Change and Growth
Percentage change measures how much a value has increased or decreased relative to its original amount: % Change = [(New - Old) / Old] x 100. If a stock price rises from $50 to $65, the percentage increase is 30%. If it drops from $65 to $50, the percentage decrease is about 23.1%. Note that the same absolute change produces different percentage changes depending on the direction. Use our Percentage Calculator above for instant, error-free percentage calculations.