You can use a z-score probability calculator. You have your score, the mean, and SD. z = the number of standard deviations from the mean = (score - mean / SD)
Google is full of links to probability calculators and stats books have tables, here's one -
Example for a score of 275, mean 250, SD 50. z = (275-250)/50 = .5
Plug that into the calculator for the cumulative probability p = .69, which means that 69% of the curve is to the left of that score, or 69th percentile.
This won't be especially accurate near the extremes of high or low scores, because it assumes a normal distribution, which test scores never are.
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