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Free online percentage calculator with step-by-step solutions. Calculate percentage of a number, percentage increase/decrease, percentage difference, and more instantly.
Enter two numbers to find what percentage the first number is of the second. Perfect for calculating grades, proportions, and statistics.
Calculate a specific percentage of any number. Useful for discounts, tips, taxes, and interest calculations.
Find the new value after increasing by a percentage. Great for calculating price increases, salary raises, and growth rates.
Find the new value after decreasing by a percentage. Perfect for discounts, depreciation, and reductions.
Calculate the percentage change between two values. Shows whether it's an increase or decrease.
A percentage is a mathematical way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are fundamental in mathematics, statistics, finance, and science. They provide a standardized way to compare proportions and express relative values, making them essential for data analysis, financial calculations, and scientific measurements.
Percentage calculators are valuable tools for ensuring accuracy in mathematical computations. They implement standard percentage formulas systematically, reducing the risk of calculation errors that can occur with manual computation, especially when dealing with complex percentages or multiple calculations.
Formula: (X / Y) × 100 = Percentage
Example: 25 is what % of 100? → (25 / 100) × 100 = 25%
Formula: (X / 100) × Y = Result
Example: What is 20% of 150? → (20 / 100) × 150 = 30
Formula: Original + (Original × Percentage / 100)
Example: 100 increased by 25% → 100 + (100 × 25 / 100) = 125
Formula: Original - (Original × Percentage / 100)
Example: 100 decreased by 20% → 100 - (100 × 20 / 100) = 80
Formula: (|New - Original| / Original) × 100
Example: Change from 100 to 120 → (|120 - 100| / 100) × 100 = 20% increase
Calculate sale prices, discounts, and savings. If a $100 item is 30% off, use our calculator to find the final price: $100 decreased by 30% = $70.
Calculate appropriate tips for service. For a $50 meal with 20% tip: 20% of $50 = $10 tip, total = $60.
Calculate profit margins, growth rates, ROI, and financial ratios. Essential for business analysis and decision-making.
Calculate test scores, grades, and GPA. If you got 45 out of 50 questions correct: (45 / 50) × 100 = 90%.
Calculate sales tax, income tax, loan interest, and investment returns. Critical for financial planning.
This percentage calculator implements standard mathematical formulas for various percentage calculations: