Odds there is a higher number rolled than you in N amount of trials? So, I'm not the strongest with probability and I'm a bit confused how to approach this problem.
Let's say I have to roll a number from $1$ to $99$. How would I calculate the probability of someone rolling higher than the number I have just rolled, within $N$ rolls?
As an example:

There are $15$ people in a group, including me. Each person rolls once. I roll a $85$. What is the odds of someone else getting $> 85$?

I have read through this Q & A. But I'm not sure how to extend this to my use-case?

Assuming you mean strictly higher, there are $14$ rolls that beat yours, so the chance a given roll will not beat you is $\frac{85}{99}$.  The chance that $N$ rolls in a row do not beat you is $(\frac{85}{99})^N$.  The chance that at least one of them beats you is then $1-(\frac{85}{99})^N$.  
