For half, I could use semi, demi, or hemi. While semi does mean "half", it sometimes has a connotation of "some". Demi is often found with French roots. According to this link, hemi is the least often used of the three but can also mean "half".
On the other hand, I could use something like toti or perhaps other choices to indicate all.
Pardon my mathematical nature, but is there a prefix which would mean "mostly", that is more than one half but less than the full unit.