Percentage Calculator
Calculate percentages, percentage changes, discounts, tips, and more with our comprehensive percentage calculator. Get instant results with step-by-step explanations and formulas.
Complete Percentage Calculator Suite
Our advanced percentage calculator handles all types of percentage calculations including basic percentages, percentage increase/decrease, percentage change, discounts, tips, taxes, and markup calculations. Perfect for students, business professionals, shoppers, and anyone who needs quick and accurate percentage calculations.
Whether you're calculating discounts during shopping, determining tips at restaurants, analyzing business growth rates, or working on math homework, our calculator provides instant results with clear explanations of the calculation process.
Calculator Types:
Select Calculation Type
Basic Percentage Calculator
Find what percentage the number is of the total
Result
--Visual Representation
Formula
What % of X is Y?
(Y ÷ X) × 100 = %
Calculation History
Your percentage calculations will appear here...
Understanding Percentages
What is a percentage? A percentage is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred."
Converting percentages: 50% = 50/100 = 0.5 = 1/2
Key concepts:
- 100% = the whole amount
- 50% = half of the amount
- 200% = twice the amount
- 0.5% = half of one percent
Real-World Applications
Finance & Shopping:
Interest rates, discounts, sales tax, tips, investment returns
Business:
Profit margins, markup, growth rates, market share
Statistics:
Survey results, success rates, probability, data analysis
Health & Science:
Body fat percentage, concentration levels, accuracy rates
Frequently Asked Questions
How do I calculate percentage increase?
Use the formula: ((New Value - Original Value) ÷ Original Value) × 100. For example, if a price increases from $100 to $120, the percentage increase is ((120-100) ÷ 100) × 100 = 20%.
What's the difference between markup and margin?
Markup is calculated as a percentage of the cost price, while margin is calculated as a percentage of the selling price. A 100% markup equals a 50% margin.
How do I calculate compound percentage changes?
For multiple percentage changes, multiply the factors: Original × (1 ± %1/100) × (1 ± %2/100). Don't just add the percentages together.
Can percentages be greater than 100%?
Yes! Percentages over 100% represent values greater than the original whole. For example, 150% means 1.5 times the original value.
How do I handle decimal percentages?
Decimal percentages like 12.5% are converted to decimals by dividing by 100: 12.5% = 12.5 ÷ 100 = 0.125.
What's the best tip percentage?
In the US, 18-20% is standard for good restaurant service. Adjust based on service quality: 15% for average, 25% for exceptional service.