Percentage Calculator – Calculate Percentages Instantly
Calculate percentages, find what percent one number is of another, or compute percentage change. Our free percentage calculator handles all common percentage calculations with clear results.
Percent means "per hundred." When you say 25%, you mean 25 out of every 100, or 25/100, or 0.25. Percentages let you compare parts to wholes on a standard scale, regardless of the actual numbers involved.
The basic percentage formula is: Percentage = (Part / Whole) × 100. Rearrange it for different needs: Part = (Percentage / 100) × Whole, or Whole = Part / (Percentage / 100).
Three Common Percentage Calculations
Find X% of Y: (X / 100) × Y
X is what % of Y: (X / Y) × 100
Percentage change: ((New - Old) / Old) × 100
| Scenario | Calculation | Result |
|---|---|---|
| 20% tip on $50 | 0.20 × 50 | $10 |
| 15 out of 60 correct | (15 / 60) × 100 | 25% |
| Price: $80 → $100 | ((100 - 80) / 80) × 100 | +25% |
| 30% off $200 | 200 - (0.30 × 200) | $140 |
| 7% sales tax on $45 | 45 + (0.07 × 45) | $48.15 |
| Population: 1000 → 1200 | ((1200 - 1000) / 1000) × 100 | +20% |
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/100 | 0.01 | 1% |
| 1/10 | 0.1 | 10% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333... | 33.33% |
| 1/2 | 0.5 | 50% |
| 3/4 | 0.75 | 75% |
| 4/5 | 0.8 | 80% |
| 9/10 | 0.9 | 90% |
| 1/1 | 1.0 | 100% |
How do I calculate a percentage?
Divide the part by the whole, then multiply by 100. For example, 25 out of 50: (25 / 50) × 100 = 50%. To find a percentage of a number, convert the percentage to a decimal and multiply: 20% of 80 = 0.20 × 80 = 16.
How do I calculate percentage change?
Subtract the original from the new value, divide by the original, multiply by 100. Price went from $50 to $60: ((60 - 50) / 50) × 100 = 20% increase. If it went from $60 to $50: ((50 - 60) / 60) × 100 = -16.67% (decrease).
What's the difference between percentage points and percent?
Percentage points measure absolute differences. If interest rates go from 5% to 7%, that's a 2 percentage point increase, but a 40% increase ((7-5)/5 × 100). Confusing these leads to errors – always specify which you mean.
Can a percentage be more than 100%?
Yes. 100% means "the whole thing." 200% means twice as much. If you had 50 sales last month and 150 this month, that's 300% of last month's sales (or a 200% increase). Percentages over 100% are common in growth comparisons.
How do I add a percentage to a number?
Multiply by (1 + percentage as decimal). Adding 15% to 200: 200 × 1.15 = 230. For tax: $100 + 8% tax = $100 × 1.08 = $108. To subtract: multiply by (1 - percentage). 20% off $100: $100 × 0.80 = $80.
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