Result
30
Result
30
Result = Number × (Percent ÷ 100)Find what X% of a number equals.
Where:
Number= The base valuePercent= The percentage to findChange% = ((New - Old) ÷ Old) × 100Calculate the percentage increase or decrease between two values.
Percent = (Part ÷ Whole) × 100Find what percentage one number is of another.
Original = Final ÷ (1 ± Change%)Reverse-calculate the original number before a percentage change.
Inputs
Result
Divide the number by 4 to find 25%, or multiply by 0.25.
Inputs
Result
The price increased by $20, which is 25% of the original $80.
Inputs
Result
Divide the part (45) by the whole (60) and multiply by 100.
X% of Y = Y × (X ÷ 100). Example: 25% of 200 = 200 × 0.25 = 50. Shortcut: Move decimal left 2 places and multiply. 15% of 80 = 80 × 0.15 = 12.
| Percentage | Of 100 | Of 250 | Of 75 |
|---|---|---|---|
| 10% | 10 | 25 | 7.5 |
| 15% | 15 | 37.5 | 11.25 |
| 20% | 20 | 50 | 15 |
| 25% | 25 | 62.5 | 18.75 |
| 50% | 50 | 125 | 37.5 |
Percentage change = ((New - Old) ÷ Old) × 100. Example: Price goes from $80 to $100. Change = (100-80) ÷ 80 × 100 = 25% increase. If it went to $60: (60-80) ÷ 80 × 100 = -25% (decrease).
| Original | New | Change | Percent Change |
|---|---|---|---|
| $100 | $125 | +$25 | +25% |
| $100 | $80 | -$20 | -20% |
| $50 | $75 | +$25 | +50% |
| $200 | $150 | -$50 | -25% |
Percent = (Part ÷ Whole) × 100. Example: 30 is what percent of 120? (30 ÷ 120) × 100 = 25%. You scored 45 out of 60: (45 ÷ 60) × 100 = 75%.
| Part | Whole | Calculation | Percentage |
|---|---|---|---|
| 25 | 100 | 25 ÷ 100 | 25% |
| 45 | 60 | 45 ÷ 60 | 75% |
| 7 | 20 | 7 ÷ 20 | 35% |
| 150 | 200 | 150 ÷ 200 | 75% |
Percent to decimal: Divide by 100 (25% = 0.25). Decimal to percent: Multiply by 100 (0.75 = 75%). Percent to fraction: Put over 100 and simplify (25% = 25/100 = 1/4).
| Percent | Decimal | Fraction |
|---|---|---|
| 10% | 0.10 | 1/10 |
| 25% | 0.25 | 1/4 |
| 33.33% | 0.333 | 1/3 |
| 50% | 0.50 | 1/2 |
| 75% | 0.75 | 3/4 |
| 100% | 1.00 | 1/1 |
Original = Final ÷ (1 + Change%). After 20% increase, result is $120. Original = $120 ÷ 1.20 = $100. After 25% decrease, result is $75. Original = $75 ÷ 0.75 = $100.
| Situation | Final | Calculation | Original |
|---|---|---|---|
| +20% increase | $120 | $120 ÷ 1.20 | $100 |
| +15% increase | $115 | $115 ÷ 1.15 | $100 |
| -25% decrease | $75 | $75 ÷ 0.75 | $100 |
| -40% decrease | $60 | $60 ÷ 0.60 | $100 |
Use easy percentages and combine them. 15% = 10% + 5%. 35% = 25% + 10%. For 10%, move decimal left. For 5%, take half of 10%. For 25%, divide by 4. For 1%, move decimal 2 places left.
| Target % | Strategy | Example: 15% of $80 |
|---|---|---|
| 15% | 10% + 5% | $8 + $4 = $12 |
| 35% | 25% + 10% | $20 + $8 = $28 |
| 18% | 20% - 2% | $16 - $1.60 = $14.40 |
| 90% | 100% - 10% | $80 - $8 = $72 |
Percentages are used everywhere - discounts, taxes, tips, grades, statistics, and finance. Mastering percentage calculations helps with shopping, budgeting, and understanding data.
The word percent means "per hundred." So 25% literally means 25 per 100, or 25/100, which simplifies to 1/4.
Mental math shortcuts make percentage calculations much easier. Start with easy percentages (10%, 25%, 50%) and combine them to find harder ones.
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Last Updated: Mar 11, 2026
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