1. What is ELO Ratio?

The ELO ratio compares two ELO ratings by dividing one by the other. It's a dimensionless value that shows the relative strength between two players or teams in competitive games.

2. How Does the Calculator Work?

The calculator uses the simple ratio formula:

Where:

• \( ELO1 \) — First ELO rating (dimensionless)
• \( ELO2 \) — Second ELO rating (dimensionless)

Explanation: The ratio directly compares the two ELO ratings. A ratio greater than 1 indicates the first rating is higher, while less than 1 indicates the second is higher.

3. Importance of ELO Ratio

Details: The ELO ratio helps quickly assess the relative skill difference between two competitors. It's useful for matchmaking, predicting outcomes, and analyzing competitive balance.

4. Using the Calculator

Tips: Enter both ELO ratings as positive numbers. The calculator will show their ratio, which is dimensionless (no units).

5. Frequently Asked Questions (FAQ)

Q1: What does an ELO ratio of 1 mean?
A: A ratio of 1 means both players/teams have equal ELO ratings and are theoretically equally matched.

Q2: How is ELO ratio different from ELO difference?
A: The ratio shows relative strength (multiplicative), while the difference shows absolute strength (additive).

Q3: What's a typical ELO ratio range in competitive games?
A: In most systems, ratios between 0.8 and 1.2 are common for closely matched competitors.

Q4: Can ELO ratio predict win probabilities?
A: Not directly, but it can be combined with the ELO system's expected score formula for predictions.

Q5: Does the ratio work for negative ELO ratings?
A: No, ELO ratings should always be positive numbers for meaningful ratio calculations.