Suppose I have, for example, two sets. Set A has 20 elements and set B has 5 elements. I could say that B is 25 percent the size of A. I'd like a word that would let me succinctly make it clear that a number is a proportion or ratio, but without the need to scale it by 100. So in the previous example, I'd like to say "B is .25 word of A", or something similar.
If I were dealing with probabilities instead of cardinalities, I could say "B will happen with probability/frequency/likelihood x" instead of "B happens x percent of the time". I'd be fine with that sort of form as well.
Right now, I frequently find myself trying to avoid unwieldy sentences like "Converge until the ratio of the number of elements in one of B_i to the number of elements in A is at least x" when I would like to be able to say something analogous to "Converge until at least x percent of A is in one of B_i."
Edit: I may not have been as clear as I'd hoped. It's not that I want to avoid the word percent. Percent is merely the closest word in meaning to the one I'm looking for. Ideally, I want a word such that, given real number x in [0,1], "x (word) of A" is equivalent to "(100 x) percent of A".
x isn't a fixed or known value, so saying things like "1/4 the size" isn't an option. I used specific values in some of the examples in hopes that it would make things clearer, but apparently it had the opposite effect.
"Converge until at least x (word) of A is in one of B_i" is the sort of context in which I would be using it. There certainly exist better ways to phrase it than the alternative I used, but since the goal was to illustrate how unwieldy these alternate phrasings get sometimes, I didn't bother finding a good one for this particular case.
I could use "percent" as long as I replace all instances of "x" with "100x", but since I'm only multiplying by 100 so "percent" can divide by 100 again, that's rather inelegant. I'd like to keep the "The preceding number is a proportion" part of the meaning of percent, but without the "and must be divided by 100 to get the value I'm actually using in all the math" part.