Percentage Calculator
Calculate percentages with multiple modes and step-by-step solutions
What is P% of X?
Result
Common Percentage Examples
Shopping Discounts
Example: 20% off $150 item
Discount: $30
Final Price: $120
Test Scores
Example: 85 out of 100 points
Percentage: 85%
Grade: B
Tax Calculations
Example: 8.5% sales tax on $200
Tax Amount: $17
Total Cost: $217
Tips & Gratuity
Example: 18% tip on $45 bill
Tip Amount: $8.10
Total: $53.10
Common Percentages
Percentage Formulas
Percentage of a Number
Result = (P × X) / 100What Percentage
P = (X / Y) × 100Percentage of What
Y = (X × 100) / PPercentage Change
New = X × (100 ± P) / 100Understanding Percentages
What is a Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct". The word "percent" is derived from the Latin "per centum", meaning "by the hundred".
Why Use Percentages?
- •Easy comparison between different quantities
- •Standardized way to express proportions
- •Universally understood measurement
- •Simplified representation of complex ratios
Real-World Applications
Finance & Business
• Interest rates and returns
• Profit margins and markups
• Tax calculations
• Commission structures
Education & Statistics
• Test scores and grades
• Survey results and polls
• Statistical analysis
• Academic performance metrics
Science & Medicine
• Chemical concentrations
• Medical dosages
• Research data analysis
• Quality control metrics
Percentage vs. Percentage Points
It's important to distinguish between percentage and percentage points:
Percentage Change
If a value increases from 10% to 15%, it has increased by 50%(relative change: (15-10)/10 × 100 = 50%)
Percentage Points
If a value increases from 10% to 15%, it has increased by 5 percentage points(absolute change: 15 - 10 = 5 pp)