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calculating population size from the percentage breakdown

Sun 3 Sep, 2017 02:51 am
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.
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fresco

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Sun 3 Sep, 2017 03:03 am
@Jason81,
Turning them into lowest fractions
60% =3/5
9.2% = 92/1000 = 23/250
23.1% =231/1000
7.7% =77/1000
The LCM of them all is 1000 which I suggest is the minimum population unless the decimal figures have been rounded.
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