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A percentage is a way of expressing a number as a fraction of 100. The term "percent" comes from the Latin "per centum", meaning "by the hundred". Percentages are used in everyday life for discounts, taxes, statistics, and financial calculations.
(number × percent) / 100        ((new - old) / old) × 100        part / (percent / 100)        amount × (1 + VAT rate)        💡 Pro Tip: To quickly calculate 10% of a number, move the decimal point one place to the left. For example, 10% of 250 is 25.0. You can then use this to calculate other percentages (5% = half of 10%, 20% = double 10%, etc.)
| Scenario | Calculation | Example | 
|---|---|---|
| Retail Discount | Original price × (1 - discount/100) | $100 item with 25% discount = $75 | 
| Sales Tax | Amount × (1 + tax rate) | $200 purchase with 8% tax = $216 | 
| Salary Increase | ((new - old) / old) × 100 | From $50k to $55k = 10% increase | 
| Investment Growth | (Current value / Initial value - 1) × 100 | $10k to $12.5k = 25% growth | 
| Method | When to Use | Accuracy | Speed | 
|---|---|---|---|
| Percentage of Number | Finding a portion of a value (discounts, commissions) | Exact | Instant | 
| Percentage Change | Comparing values over time (growth, inflation) | Exact | Instant | 
| VAT Calculator | Adding or removing sales tax from amounts | Exact | Instant | 
| Mental Math | Quick estimates without tools (10% method) | Approximate | Fastest | 
💡 For precise financial calculations, always use exact percentage methods rather than mental math. Our calculator provides exact results for all percentage scenarios.
To calculate a percentage of a number, multiply the number by the percentage and divide by 100. For example, to find 20% of 150: (150 × 20) / 100 = 30. You can also convert the percentage to a decimal (20% = 0.20) and multiply: 150 × 0.20 = 30.
Percentage points refer to the absolute difference between two percentages (e.g., going from 10% to 15% is a 5 percentage point increase). Percent change refers to the relative difference (e.g., going from 10% to 15% is a 50% increase).
Subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New - Original) / Original) × 100. A positive result is an increase, negative is a decrease.
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