Percentage Calculator

What is Percentage Calculator?

A percentage calculator helps you solve various percentage problems quickly and accurately. Whether you need to find a percentage of a number, determine what percentage one number is of another, or calculate percentage changes, this tool provides step-by-step solutions with visual representations.

Types of Percentage Calculations

• Find X% of Y: Calculate a percentage of a given number (e.g., 25% of 200)
• What % is X of Y?: Find what percentage one number is of another
• Find Total: Calculate the whole when you know a part and its percentage
• Percentage Change: Calculate increase or decrease between two values

Percentage Formulas

• Basic Percentage: (Percentage ÷ 100) × Value = Result
• Percentage of Total: (Part ÷ Whole) × 100 = Percentage
• Find Whole: Part ÷ (Percentage ÷ 100) = Whole
• Percentage Change: ((New - Old) ÷ Old) × 100 = % Change

Real-World Applications

• Shopping: Discounts, sales tax, and tip calculations
• Finance: Interest rates, investment returns, loan calculations
• Business: Profit margins, growth rates, market share
• Education: Test scores, grade calculations, pass rates
• Health: Body composition, medication dosages, success rates
• Statistics: Data analysis, survey results, probability

Common Percentage Examples

• Restaurant Tip: 15-20% of bill amount
• Sales Tax: Varies by location (5-10% typically)
• Discounts: 10%, 25%, 50% off original price
• Interest Rates: Annual percentage rates for loans/savings
• Test Scores: 85/100 = 85%

Tips for Working with Percentages

• Remember that 100% represents the whole or total amount
• To convert percentage to decimal, divide by 100 (25% = 0.25)
• To convert decimal to percentage, multiply by 100 (0.25 = 25%)
• Percentage increase can exceed 100%, but percentage decrease cannot exceed 100%
• Always specify what the percentage is "of" for clarity

FAQ - Percentage Calculator