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ELO Calculation Formula:
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The ELO rating system is a method for calculating the relative skill levels of players in competitive games like League of Legends. It was originally developed for chess but has been adapted for many competitive games.
The calculator uses the ELO formula:
Where:
Explanation: The equation adjusts your rating based on whether you performed better or worse than expected against your opponent.
Details: In League of Legends, your ELO determines your matchmaking rating (MMR) which affects who you play against and your ranked division. Higher ELO means you'll be matched with better players.
Tips: Enter your current ELO, the K-factor (typically 32 for new players, lower for established players), your actual score (1 for win, 0 for loss), and your expected win probability.
Q1: What's a typical K-factor in League of Legends?
A: Riot Games doesn't disclose exact values, but new players typically have higher K-factors (around 32) that decrease as they play more games.
Q2: How do I calculate expected score (E)?
A: Expected score can be calculated using: \( E = \frac{1}{1 + 10^{(R_{opponent} - R_{player})/400}} \). This calculator assumes you already have this value.
Q3: Why does my LP gain not match ELO calculations?
A: League uses a modified system with LP that's influenced by but not identical to pure ELO. Your MMR (hidden ELO) affects LP gains/losses.
Q4: What's considered a good ELO in League?
A: In League terms, Gold is top ~25%, Platinum top ~10%, Diamond top ~2%, and Challenger is the top 200 players per region.
Q5: Does this work for team games?
A: The basic principle applies, but team games like League use more complex systems that account for team average ratings.