say the next level up from you beats you 90% of the time, and they get beat by that same margin one level up from them, on a global scale
how many levels total from casual player to top pro?
How many players do you believe your levels incorporate?
how many levels out of the top 100 pros?
Unless you specify the length of the match, "90% of the time" is meaningless. If you want to talk about 8, 9 or 10 ball, I think a good way to separate levels is that a player is one level up if he wins twice as many games in a long series. Or he would be one level up if he scores twice as many balls in straight pool on average.
Based on that standard, I have played matches where I was giving up roughly 8:1 in straight pool which is a three-level difference. I would describe that opponent as around an APA 4. (I went to 140 and he got to 16). I suppose there might be a couple of levels below APA 4s. On the other end of the spectrum, I'd guess that there are at least two levels above me. That is, there are some players who would have to give up 200:50 to make the game fair. I'd like to think that there is no one who could give me 200:25, but that might be wishful thinking. So, for 14.1 on that basis we have 8 or 9 levels.
At nine ball I have played in a handicap system that gives fairly accurate ratings on a similar 2:1 basis, and the number of levels works out about the same way. There was one player in the system who was rated about three "ratio of 2" steps below me, and there are probably two steps above me, if I had to guess. If you add on a couple of steps on the low end again for people who play twice a year, that gets to about 8 levels.
Another way to rank levels is to just say that a single person is in the top rank (pick your favorite), and 10 are in the next rank, and 100 are in the next rank, etc. If you assume there are about 100 million players, that results in 9 levels. This method of ranking doesn't depend on any particular difference in skill -- only a better/worse determination is needed for each pair of players.
Unfortunately, we have no universal ranking/rating system as they do, for example, in chess. I think this would be a good thing for the national and international pool federations to do.