Win Rate Calculator
Calculate your win percentage from wins and total games or trades.
Understanding the Calculation
Percentage calculations involve:
- Base Value: The original or total amount
- Percentage Rate: The proportion expressed as a percent
- Result: The calculated value based on your inputs
Common Formulas
- Finding a percentage: (Part ÷ Whole) × 100 = %
- Finding the part: Whole × (% ÷ 100) = Part
- Percentage change: ((New - Old) ÷ Old) × 100 = % Change
Practical Applications
Use percentage calculations for:
- Financial planning and budgeting
- Academic performance tracking
- Business metrics and KPIs
- Health and fitness goals
- Shopping and discount calculations
Win Rate and Sample Size
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win rate = wins ÷ total games × 100
`
The number is easy. Knowing whether it means anything is not.
| Games played | 95% confidence interval on a 55% observed rate |
|---|---|
| 20 | 32%–77% |
| 50 | 40%–69% |
| 100 | 45%–65% |
| 500 | 51%–59% |
| 1000 | 52%–58% |
At 20 games a 55% win rate is indistinguishable from a 40% one. Most "my win rate dropped
after the patch" observations are sampling noise.Note also that ranked matchmaking actively pushes win rates toward 50% by design — the system
adjusts opponent difficulty until you win about half. A sustained rate above 55% over hundreds
of games means you are climbing faster than the system can re-rank you, which is a stronger
signal than the rate itself.
The Four Percentage Questions
Almost every percentage problem is one of these, and mixing them up is the most common
arithmetic error there is:
| Question | Formula | Example |
|---|---|---|
| What is X% of Y? | Y × (X ÷ 100) | 15% of 80 = 12 |
| X is what % of Y? | (X ÷ Y) × 100 | 12 is 15% of 80 |
| X is Y% of what? | X ÷ (Y ÷ 100) | 12 is 15% of 80 |
| % change from X to Y | ((Y − X) ÷ X) × 100 | 80 → 92 is +15% |
Percentage Points Are Not Percent
A rate moving from 4% to 5% is one percentage point, and a 25% increase. Both
statements are true and they are not interchangeable — headlines routinely use the smaller
one when reporting a rise and the larger one when reporting a fall.
Increases and Decreases Do Not Cancel
| Start | Change | Result |
|---|---|---|
| 100 | +50%, then −50% | 75 |
| 100 | −50%, then +50% | 75 |
| 100 | −20%, then +25% | 100 |
The reason is that the second percentage applies to a different base. To reverse a −20% you
need +25%, not +20%. This is why a stock that falls 50% must double to break even, and why
"we cut costs 30% then grew 30%" leaves you 9% down.Reversing a Percentage
To find the price before a 20% discount, divide by 0.8 — do not add 20%:
`
before = after ÷ (1 − discount)
$80 ÷ 0.8 = $100 ✓
$80 × 1.2 = $96 ✗
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The same asymmetry applies to tax, tips, markups and platform fees.