Every bet has two payout numbers: profit and total payout. Profit is what you win above your original stake. Total payout is profit plus the stake returned to you.
The formula changes depending on the odds format. Decimal odds calculate total return directly. American odds use different formulas for positive and negative prices. Fractional odds show profit as a ratio of stake.
This guide explains how to calculate betting payouts manually, with examples for decimal, American, fractional and parlay bets. For instant calculation, use the Odds Converter & Payout Calculator.
Payout vs Profit
Before using any formula, separate these two terms:
- Profit: the amount won above the original stake.
- Total payout: the amount returned after a winning bet, including stake.
For example, if you stake $50 and win $75 in profit, your total payout is:
$50 stake + $75 profit = $125 total payout
Different odds formats present this relationship differently, but they all describe the same underlying price.
Decimal Odds Formula
Decimal odds are the simplest format because they show total return per unit staked.
Total Payout = Stake × Decimal Odds
Profit = Total Payout – Stake
| Stake | Decimal Odds | Total Payout | Profit |
|---|---|---|---|
| $50 | 1.50 | $75.00 | $25.00 |
| $50 | 2.50 | $125.00 | $75.00 |
| $20 | 3.75 | $75.00 | $55.00 |
| $110 | 1.91 | $210.10 | $100.10 |
A quick shortcut: subtract 1 from the decimal price to get the profit multiplier. For example, 2.50 – 1 = 1.50, so a $50 stake makes $75 profit.
American Odds Formulas
American odds, also called moneyline odds, use two formulas: one for positive prices and one for negative prices.
Positive American Odds
Positive odds show how much profit a $100 bet makes.
Profit = Stake × (American Odds ÷ 100)
Total Payout = Stake + Profit
| Stake | Odds | Profit | Total Payout |
|---|---|---|---|
| $50 | +150 | $75.00 | $125.00 |
| $20 | +250 | $50.00 | $70.00 |
| $10 | +300 | $30.00 | $40.00 |
Example: a $50 bet at +150 makes:
$50 × (150 ÷ 100) = $75 profit
Total payout is $125.
Negative American Odds
Negative odds show how much you must risk to win $100 profit.
Profit = Stake × (100 ÷ Absolute American Odds)
Total Payout = Stake + Profit
| Stake | Odds | Profit | Total Payout |
|---|---|---|---|
| $75 | -150 | $50.00 | $125.00 |
| $55 | -110 | $50.00 | $105.00 |
| $100 | -200 | $50.00 | $150.00 |
| $30 | -300 | $10.00 | $40.00 |
Example: a $50 bet at -110 makes:
$50 × (100 ÷ 110) = $45.45 profit
Total payout is $95.45.
Fractional Odds Formula
Fractional odds show profit as a ratio of stake. The numerator is profit. The denominator is the amount staked.
Profit = Stake × (Numerator ÷ Denominator)
Total Payout = Stake + Profit
| Stake | Fractional Odds | Profit | Total Payout |
|---|---|---|---|
| $50 | 3/2 | $75.00 | $125.00 |
| $10 | 5/1 | $50.00 | $60.00 |
| $20 | 7/4 | $35.00 | $55.00 |
| $100 | 1/2 | $50.00 | $150.00 |
When the numerator is larger than the denominator, the bet is odds-against. When the numerator is smaller, it is odds-on. 1/1, also called evens, means profit equals stake.
Same Bet in Every Format
The same price can be displayed in different ways. The payout does not change.
| American | Decimal | Fractional | $50 Profit | $50 Total Payout |
|---|---|---|---|---|
| -200 | 1.50 | 1/2 | $25.00 | $75.00 |
| -110 | 1.91 | 10/11 | $45.45 | $95.45 |
| +100 | 2.00 | 1/1 | $50.00 | $100.00 |
| +150 | 2.50 | 3/2 | $75.00 | $125.00 |
| +300 | 4.00 | 3/1 | $150.00 | $200.00 |
The even-money row — +100 / 2.00 / 1/1 — is the dividing point. Above it, profit is larger than stake. Below it, stake is larger than profit.
How to Calculate Parlay Payouts
A parlay combines multiple selections into one bet. All legs must win for the parlay to pay.
The easiest method is to convert every leg into decimal odds first.
- Convert each leg to decimal odds.
- Multiply all decimal odds together.
- Multiply the combined decimal by your stake.
Total Payout = Stake × Decimal Leg 1 × Decimal Leg 2 × Decimal Leg 3…
Example: 3-Leg Parlay
- Leg 1: +150 = 2.50 decimal
- Leg 2: -110 = 1.91 decimal
- Leg 3: +200 = 3.00 decimal
- Stake: $10
Combined decimal odds = 2.50 × 1.91 × 3.00 = 14.33
Total payout = $10 × 14.33 = $143.30
Profit = $143.30 – $10 = $133.30
Parlays can produce large returns, but they are harder to win because every leg must hit. The margin can also compound across legs.
How to Calculate Implied Probability
Implied probability is the break-even win rate represented by a price.
| Format | Formula | Example |
|---|---|---|
| Decimal | 1 ÷ Decimal Odds × 100 | 2.50 → 40.00% |
| Positive American | 100 ÷ (American Odds + 100) × 100 | +150 → 40.00% |
| Negative American | |Odds| ÷ (|Odds| + 100) × 100 | -110 → 52.38% |
| Fractional | Denominator ÷ (Numerator + Denominator) × 100 | 3/2 → 40.00% |
Implied probability from one price does not remove the bookmaker’s margin from the full market. For that, use the No-Vig Calculator or Bookmaker Margin Calculator.
How to Estimate Bookmaker Margin
To estimate market overround, convert every outcome into implied probability and add them together.
Market Percentage = Sum of All Implied Probabilities
Margin Above 100% = Market Percentage – 100%
Example: Two-Way Market
Suppose the market is Lakers +150 and Celtics -200.
- +150 implied probability: 100 ÷ 250 = 40.00%
- -200 implied probability: 200 ÷ 300 = 66.67%
- Total market percentage: 106.67%
- Margin above 100%: 6.67 percentage points
This does not mean the sportsbook literally earns 6.67% of every dollar on that event. It means the posted prices add up to 106.67%, before normalizing the market back to 100%.
Formula Summary
| Format | Profit Formula | Total Payout Formula |
|---|---|---|
| Decimal | (Stake × Odds) – Stake | Stake × Odds |
| American positive | Stake × (Odds ÷ 100) | Stake + Profit |
| American negative | Stake × (100 ÷ |Odds|) | Stake + Profit |
| Fractional | Stake × (Numerator ÷ Denominator) | Stake + Profit |
| Parlay | (Stake × Product of Decimal Odds) – Stake | Stake × Product of Decimal Odds |
For all winning bets, the relationship is the same:
Total Payout = Profit + Stake
Frequently Asked Questions
How do I calculate my betting payout?
Use the formula for your odds format. Decimal odds use stake × odds. Positive American odds use stake × odds ÷ 100. Negative American odds use stake × 100 ÷ absolute odds. Fractional odds use stake × numerator ÷ denominator. Total payout equals profit plus stake.
What is the difference between payout and profit?
Profit is the money won above your original stake. Total payout includes the stake returned. For example, a $50 bet at +150 makes $75 profit and returns $125 total.
What does -110 pay on a $50 bet?
A $50 bet at -110 makes $45.45 profit and returns $95.45 total.
How do I calculate a parlay payout?
Convert every leg to decimal odds, multiply the decimal odds together, then multiply by your stake. Profit is total payout minus the original stake.
What is the easiest odds format for payout math?
Decimal odds are usually easiest because total payout is always stake multiplied by decimal odds.
Do all odds formats give the same payout?
Yes, when the prices are exact equivalents. For example, +150, 2.50, and 3/2 all produce the same profit and payout.