Percentage Calculator
Calculate percentages, percentage changes, discounts, tips, and more with our comprehensive percentage calculator suite.
Basic Percentage Calculator
Calculate what X% of Y equals
Percentage Formulas Quick Reference
Basic Percentage
X% of Y = (X ÷ 100) × Y
Percentage Change
((New - Old) ÷ Old) × 100
What Percentage
(Part ÷ Whole) × 100
Percentage of Total
(Value ÷ Sum) × 100
Discount
Price - (Price × Discount%)
Tip
Bill + (Bill × Tip%)
Understanding Percentages
What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred."
Example: 25% means 25 out of 100, or 25/100, or 0.25 as a decimal.
Common Uses
Percentages are used everywhere in daily life - from calculating tips and discounts to understanding statistics, grades, and financial data.
They provide an easy way to compare different quantities and understand proportions.
Types of Percentage Calculations
Basic Percentage
Finding what X% of Y equals. Used for calculating portions, taxes, and parts of a whole.
Percentage Change
Calculating increase or decrease between two values. Essential for analyzing growth, trends, and changes.
What Percentage
Finding what percentage one number is of another. Useful for comparing parts to wholes.
Percentage of Total
Breaking down multiple values to see what percentage each represents of the total sum.
Discount Calculator
Calculating sale prices, discounts, and savings. Perfect for shopping and business applications.
Tip Calculator
Calculating tips and total bills for restaurants, services, and hospitality situations.
Real-World Applications
Business & Finance
- • Sales tax calculations
- • Interest rates and loan calculations
- • Profit margins and markups
- • Investment returns and growth rates
- • Budget allocation and expense tracking
Daily Life
- • Shopping discounts and sales
- • Restaurant tips and service charges
- • Grade calculations and test scores
- • Health and fitness progress tracking
- • Cooking recipe scaling
Tips for Working with Percentages
Mental Math Shortcuts
10%: Move decimal point one place left
5%: Half of 10%
1%: Move decimal point two places left
25%: Divide by 4
50%: Divide by 2
75%: Three-quarters of the number
Common Mistakes to Avoid
- • Confusing percentage points with percentages (5% to 10% is a 5 percentage point increase, but a 100% relative increase)
- • Forgetting to convert percentages to decimals when calculating (25% = 0.25)
- • Mixing up "percentage of" vs "percentage change" calculations
- • Not considering the base value when calculating percentage changes
Calculator Features
Our percentage calculator suite provides instant calculations for all common percentage operations. Each calculator includes step-by-step explanations to help you understand the math behind the results. Perfect for students, professionals, and anyone who needs quick and accurate percentage calculations.