What is the proper way to represent mathematically the expresion $x\%$ within $x\%$?
For example, $90\%$ of the bottles are $95\%$ full.
2026-03-26 20:36:20.1774557380
Mathematical notation to represent x% within x%
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I'm not entirely sure what you're trying to say. The correct way to represent that is just as you wrote: 90% of the bottles are 95% percent full. If you wanted to find the amount of whatever substance is contained in the bottles, and that is what you're trying to figure out how to represent, then let $b$ be the volume of one of the bottles, assuming that they are all the same, and $n$ be the number of bottles. The amount of substance is then $b*.95*.90*n+$however much there is in the other $\frac n {10}$ bottles.