I'm not sure if the number of ranks is all that informative. To take an extreme case, if you have no trophies in the Ten-letter puzzle, you are ranked 7 out of 7 (ranks), which sounds fairly impressive: you're in the top ten! In that case, it's fairly obvious that you share your ranking with hundreds of others. But if you got two rosettes in the Challenge puzzle and are at rank 73, it might be of interest to know how many others got the same number of rosettes. As it turns out, there are 18 players on the same rank.
Ideally, perhaps, one might like to know, for each category, how many players did better than you, how many did equally well and how many did less well. The tables, as they are, answer the first question only. (In the example above, where 18 players are all on rank 73, the players next below them would have rank 91, as there are 90 players who got more rosettes than them.)
But then again, perhaps there are some things it's better not to know...