Percentage Calculator
Calculate percentages, percentage changes, increases and decreases with step-by-step solutions. Perfect for business, academics, and everyday calculations.
Percentage Calculator
Percentage Formulas Quick Reference
Basic Formulas
Common Applications
• Sales & Discounts: Calculate savings and final prices
• Tips & Tax: Add service charges and taxes
• Interest & Returns: Calculate investment growth
• Statistics: Analyze data and survey results
• Grade Calculations: Convert scores to percentages
• Business Metrics: Track growth and performance
Understanding Percentages
🎯 What is a Percentage?
A percentage is a way to express a fraction out of 100. The word "percent" means "per hundred."
50% = 50/100 = 0.5
Percentages help us compare different quantities on a common scale and express proportions clearly.
📊 Types of Calculations
- • Percentage of: What is 25% of 200?
- • What percent: 50 is what % of 200?
- • Percentage change: Change from 100 to 120
- • Increase/Decrease: 100 + 20% = ?
💼 Real-World Applications
Business & Finance
Sales growth, profit margins, interest rates, discounts, tax calculations
Education
Test scores, grade calculations, improvement tracking, statistics
Daily Life
Tips, sales discounts, loan interest, recipe scaling, surveys
Converting %
25% = 25 ÷ 100 = 0.25
0.25 × 100 = 25%
Finding %
Part ÷ Whole × 100
25 ÷ 100 × 100 = 25%
% Change
(New - Old) ÷ Old × 100
(120 - 100) ÷ 100 × 100 = 20%
% of Number
% ÷ 100 × Number
25 ÷ 100 × 200 = 50
💡 Pro Tips
- • 10% = Move decimal one place left (100 → 10)
- • 50% = Half the number (100 → 50)
- • 25% = Quarter the number (100 → 25)
- • 1% = Move decimal two places left (100 → 1)
- • Double-check by working backwards
- • Use estimation for quick mental calculations
- • Remember: percentage points ≠ percentages
- • Always specify what the percentage refers to