Articles often claim percentages such as "46.1%" for some statistic. In this case, one can tell that they definitely had more than two measurement points, otherwise the statistic would have been either 0%, 50% or 100%.
Using brute force, I made a tool that will figure out the answer. In this particular case, there is only one result that will lead to 46.0512%, which is 414/899 (for just 46.1%, there are multiple smaller solutions).
Is there a method, more efficient than brute force, to find possible inputs that lead to this result? Or find the lower bound for either the numerator or denominator?