The word "minimum" describes a numerical value that must be reached or exceeded. Is there also a similar word (noun) that describes a value that must be strictly exceeded (so that to be equal is not sufficient)?
Edit: Here is an example
All groups with (strictly) more than 50 percent children get a discount. Thus, the ??? percentage of children to get a discount is 50 percent."
I am looking for a word to fill in for the "???". "minimum" does not work, because the value must be strictly exceeded.