SOLUTION: 8% of what number is 300

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Question 835480: 8% of what number is 300
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
The way that works in symbols is, if the number is G, then %288%2F100%29%2AG=300.
If you multiply left and right sides by 100, then this clears the denominator----BOTH SIDES need to be multiplied that way!

%288%2F100%29%2AG%2A100=300%2A100
8G=3%2A10%5E4
Now if you divide both sides by 8, this puts G by itself.
G=%281%2F8%293%2A10%5E4
highlight%28G=3750%29

A simpler way to do this is MULTIPLY by the RECIPROCAL of the fraction to isolate G.
%288%2F100%29G=300
%288%2F100%29G%28100%2F8%29=300%28100%2F8%29
G=30000%2F8 which you would then simplify.
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Multiplying a number by its reciprocal gives product 1.