I thought for sure I had outlined this in the user manual, but I guess not...

**Logarithm method**:

`N = log((numberOfPlayers + 1) / rank)`

This is then averaged over the set of tournaments. Finally, the N is plugged into this formula to obtain the final score:

`score = (1 - exp(-N)) * 100`

* Note that the log() function is **log base e**.

**Percentile method**:

`score = (1 - (rank / (numberOfPlayers + 1))) * 100`

This is then averaged over the set of tournaments to obtain the final score.