✖️ Basic Percentage Calculation

=
40
20% of 200 is 40

💬 Common Percentage Questions

15% of 250 = 37.5
36 is 15% of 240

🔄 Percentage Difference Between Two Numbers

50%
Percentage difference between 10 and 6 is 50%

📈 Percentage Increase / Decrease

+10%
500 increased by 10% to 550

📘 Understanding Percentages: A Complete Guide

A percentage is a way to express a number as a fraction of 100. The word comes from Latin "per centum" meaning "by the hundred." Percentages are used everywhere: discounts in stores, tax rates, tips at restaurants, interest rates, test scores, and data analysis.

📌 How to Use This Calculator

Basic Percentage: Find what X% of Y is. Enter the percentage and the number → get the result.
Common Phrases: Solve everyday questions like "What is X% of Y?" or "X is what percent of Y?"
Percentage Difference: Compare two values regardless of direction (useful for comparing prices, scores).
Percentage Change: Calculate how much a value increased or decreased from an initial amount.

📐 Key Formulas

• Percentage of a number: (P% × V1) = V2
• What percent: (Part ÷ Whole) × 100 = Percentage
• Percentage Difference: |V1 - V2| ÷ ((V1 + V2)/2) × 100
• Percentage Change: ((Final - Initial) ÷ Initial) × 100

💰 Real-World Examples

Discount: A $80 shirt with 25% off → save $20, pay $60.
Tip: 15% tip on a $50 meal → $7.50 tip.
Test Score: 45 correct out of 50 → 90% score.
Stock Change: Stock goes from $100 to $120 → 20% increase.
Population Difference: Town A has 8,000 people, Town B has 10,000 → difference = 22.2%.

✅ Quick Tips

• 10% of a number = move decimal left once.
• 1% = one hundredth (divide by 100).
• To find 20% discount: multiply by 0.8 (100% - 20%).
• Percentage change can be positive (increase) or negative (decrease).

Disclaimer: This calculator is for educational and general purposes. Always verify important calculations with a professional.