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To calculate betting odds, you just need the odds, stake, and the math formulas. That allows you to calculate implied probability, potential profit, total return, and convert between any odds format.​​ The formula depends on which odds format you're using.

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### American Odds
American odds are either positive or negative.
Example: +100, -120
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Formulas for positive American odds:
* Potential Profit = Stake * (Odds / 100)
* Total Return = Stake + Potential Profit
* Implied Probability = 100 / (Odds + 100)
* Conversion to Decimal = (Odds + 100) / 100

Example: $100 at +150
* Potential Profit = 100 * (150 / 100) = $150
* Total Return = 100 + 150 = $250
* Implied Probability = 100 / (150 + 100) = 100 / 250 = 40%
* Conversion to Decimal = (100 + 100) / 100 = 2.00

Formulas for negative American odds:
* Potential Profit = Stake * (100 / |Odds|)
* Total Return = Stake + Potential Profit
* Implied Probability = |Odds| / (|Odds| + 100)
* Conversion to Decimal = (|Odds| + 100) / |Odds|

Example: $150 at -150
* Potential Profit = 150 * (100 / 150) = $100
* Total Return = 150 + 100 = $250
* Implied Probability = 150 / (150 + 100) = 150 / 250 = 60%
* Conversion to Decimal = (150 + 100) / 150 = 1.67

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### Decimal Odds
Decimal odds are the easiest format for payout math, so a lot of sharp bettors use them.
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Formulas:
* ​Total Return = Stake * Decimal Odds
* Potential Profit = Total Return - Stake
* Implied Probability = 1 / Decimal Odds

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Example: $100 at 2.50
* Total Return = 100 * 2.50 = $250
* Potential Profit = 250 - 100 = $150
* Implied Probability = 1 / 2.50 = 40%

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### Fractional Odds
Fractional odds show profit relative to stake.
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Formulas:
* Potential Profit = Stake * (Numerator / Denominator)
* Total Return = Stake + Potential Profit
* Implied Probability = Denominator / (Numerator + Denominator)

Example: $100 at 3/2
* Potential Profit = 100 * (3 / 2) = $150
* Total Return = 100 + 150 = $250
* Implied Probability = 2 / (3 + 2) = 2 / 5 = 40%

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### How Much Does a Bet Pay?
How much a bet pays depends on the odds and your stake.
There are two payout amounts to think about:
* Potential profit is how much you win, excluding your stake
* Total return is how much you get back in total, including your stake

For example, if you bet $100 at +200, the math is:
* Potential Profit = 100 * (200 / 100) = $200
* Total Return = 100 + 200 = $300

If you bet $100 at -110, the math is:
* Potential Profit = 100 * (100 / 110) = $90.91
* Total Return = 100 + 90.91 = $190.91

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Betting odds calculators give you quick answers for odds conversions and payouts without having to do the math by hand or in your head.