📊 Percentage Calculator
Calculate percentages easily with our comprehensive percentage calculator. Choose from multiple calculation modes including percentage of a number, percentage increase/decrease, percentage difference, and more.
🎯 Choose Calculation Mode
📈 Basic Percentage
What is X% of Y?
🔄 Reverse Percentage
X is what percent of Y?
📊 Percentage Change
Percentage increase/decrease from X to Y
⚖️ Percentage Difference
Percentage difference between X and Y
What is % of ?
💡 Example: What is 25% of 200? Answer: 50
is what percent of ?
💡 Example: 50 is what percent of 200? Answer: 25%
From to
💡 Example: From 100 to 125 = 25% increase
Between and
💡 Example: Between 100 and 120 = 18.18% difference
📚 Quick Reference
| Formula | Description |
|---|---|
| (Part/Whole) × 100 | Find percentage |
| (Percent/100) × Whole | Find part |
| Part ÷ (Percent/100) | Find whole |
| ((New-Old)/Old) × 100 | Percentage change |
🧮 About Percentage Calculations
Percentages are a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are used in many areas of life, from calculating tips and taxes to analyzing data and measuring growth.
📐 Common Percentage Formulas
- Basic Percentage: (Percentage ÷ 100) × Number = Result
- Percentage of Total: (Part ÷ Whole) × 100 = Percentage
- Percentage Increase: ((New Value - Original Value) ÷ Original Value) × 100
- Percentage Decrease: ((Original Value - New Value) ÷ Original Value) × 100
- Percentage Difference: (|Value1 - Value2| ÷ ((Value1 + Value2) ÷ 2)) × 100
💼 Real-World Applications
| Application | Example | Calculation |
|---|---|---|
| 💰 Sales Tax | 8% tax on $100 purchase | $100 × 0.08 = $8 |
| 🍽️ Restaurant Tip | 20% tip on $50 bill | $50 × 0.20 = $10 |
| 🏪 Discount | 25% off $80 item | $80 × 0.25 = $20 off |
| 📈 Investment Growth | Portfolio grew from $1000 to $1200 | ((1200-1000)/1000) × 100 = 20% |
🎯 Tips for Working with Percentages
- 🔢 Convert to Decimal: Divide by 100 (25% = 0.25)
- 🧠 Mental Math: 10% = move decimal one place left
- ✅ Check Your Work: Result should make sense in context
- 📊 Use Benchmarks: 25% = 1/4, 50% = 1/2, 75% = 3/4
- ⚠️ Avoid Common Errors: Don't confuse percentage points with percentages
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