This is probably an easy question to answer but it has be stumped. Assume
$$s1 = 40$$ $$s2 = 30$$ $$s3 = 20$$ $$ C = s1 + s2 + s3 $$ I'm trying to find a percentage for each of those which is the inverse of this number relative to $C$. If the numbers were directly and not inversely proportional to $C$, I would calculate them simply as $S_i/C$. I need the smaller numbers to have a larger percentage so what I'm doing (which is probably wrong) to get the inverse is $100 - \frac{(C - S1* ) * 100}{C}$ which results in 44. However this doesn't make sense because if I do the same thing to $s2$ and $s3$, I'll get numbers that add up to more than 100.
I feel like I'm missing something that's right in front of me but I can't figure out what it is.
How about taking the inverse of each $s$, adding them up to get $C'$, then dividing each item $s$ by the total $C'$ to get each item's percentage contribution? I'm not sure if it's clear exactly what you're trying to achieve. Does this data reflect a physical situation?
EDIT: Note how closely related this is to the Harmonic Mean.