Percentage Calculator
Percentage Calculator
How it works: This calculator handles four common percentage calculations: (1) What is X% of Y, (2) X is what % of Y, (3) Increase X by Y%, and (4) Decrease X by Y%. Select the calculation type, enter the required values, and get instant results with formulas and explanations. Perfect for calculating discounts, tips, sales tax, interest, or any percentage-based calculations.
Overview
Versatile percentage calculator handling four common calculations: percentage of values, percentage relationships, increases, and decreases. Features include step-by-step formulas, practical examples, and comprehensive percentage calculations.
About
Understanding Percentages
Percentages are a way to express numbers as fractions of 100. The term 'percent' comes from the Latin 'per centum' meaning 'by the hundred'. Percentages are used everywhere in daily life, from calculating discounts and taxes to expressing statistics and probabilities.
Features:
- Calculate X% of Y
- Find what percentage X is of Y
- Calculate percentage increase
- Calculate percentage decrease
- Step-by-step formula display
- Practical examples and tips
Common Applications
Percentages are used in finance for interest rates and returns, in retail for discounts and sales tax, in education for grades and test scores, in statistics for data analysis, and in health for body measurements and nutrition information.
FAQ
How do you calculate percentage increase?
Percentage increase = ((New Value - Original Value) ÷ Original Value) × 100. For example, from 50 to 75 is a 50% increase.
What's 20% of 100?
20% of 100 = 20. The formula is (20 ÷ 100) × 100 = 20.
How do I calculate what percentage one number is of another?
Use the formula: (Part ÷ Whole) × 100. For example, 25 is 25% of 100 because (25 ÷ 100) × 100 = 25.
How do you calculate a discount?
Discount amount = Original Price × Discount Rate. Final Price = Original Price - Discount Amount.
What's the difference between percentage change and percentage difference?
Percentage change shows increase/decrease from an original value. Percentage difference compares two values without direction.