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So, the question is, how to calculate the total number of players if I'm the 207th , placed 0.0167% of top.

Eduard
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    Suppose you were $4$th and were in the top $2%$, what do you think the total number might be? – Henry Nov 02 '15 at 17:40
  • @Henry I guess that would be 200, since 2 would be 1% , so 200. Thanks for pointing it out, really simple after all. – Eduard Nov 03 '15 at 10:14

2 Answers2

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It is a discrete uniform distribution on $\{1,\dots,n\}$ where $n$ is the total number of players. You have $\mathbb{P}[X\le 207]=0.0167\%$. You also have $\mathbb{P}[X\le k]=\frac{k}{n}$, so that you have $n\approx\frac{207}{0.0167\%}=1239520.95808$

MoebiusCorzer
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Say there are $100x$ players.
Then according to your position,
$0.0167x=207 \Rightarrow 100x \approx 1239520$

SchrodingersCat
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