calculating population size from the percentage breakdown

Is there a simple way I can calculate a minimum population size from a set of stats that are showing percentages of people in a range of 4 categories. E.g.
60.0% 9.2% 23.1% 7.7% 0.0%
From this I can deduce that there are more than, for e.g., 20 people in total. But what's the highest number I can calculate, and how?
Or to put that another way:
What is the minimum total (which must be a whole number) that can have a percentage of 23.1%?
Apologies if this is obvious, but I'm not the best at maths. Thanks.