How can I represent simple percentage calculation in mathematical notation?

Question

I want to show my calculation/logic using mathematical notation but have no experience of this other than seeing them in research papers I have read.

In my example I have three values 90, 11, 57 and I want to show using mathematical notation how those values can be expressed as a percentage and subsequently choose the greatest number, so...

90 + 11 + 57 = 158
90 / 158 = 0.57
11 / 158 = 0.07
57 / 158 = 0.36
Answer = 0.57

However, in my notation I would like to demonstrate that the total number of values in the set can vary.

I have read up on Sigma/Summation and can see how I can use that to sum up the values however I get somewhat confused when I start to consider the variable number of values in the set and how that could be represented?

score 0 · Accepted Answer · answered Apr 30 '21 at 06:27

0

The maximum percentage of $n$ values $x_i,\,1\le i\le n$ is $\frac{\max_ix_i}{\sum_jx_j}\times100\%$.

answered Apr 30 '21 at 06:27

J.G.

115,835

could you just explain the relevance of 1 ≤ i ≤ n? – Andrew HB Apr 30 '21 at 06:41
@AndrewHB It tells us over which values $i$ runs to maximize $x_i$. We also sum over the same values of $j$ in the denominator. – J.G. Apr 30 '21 at 06:54
Ah OK so it defines the range 1 - n, thank you for your help! – Andrew HB Apr 30 '21 at 06:55

How can I represent simple percentage calculation in mathematical notation?

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