I do not think many schools hand out full rides. If a kid will only come to your school for a full ride, then he probably is not going to be worth it. He has to want to go to the school for other reasons also. I am guessing the best kids are getting 2/3 to 3/4 and an occasional 83% here and there.
That being said, a Kent State or UVA might offer a full scholarship to a guy that PSU or the Hawks would only offer 50% or so. if the kid chooses Kent State or UVA (nothing against their programs) then he probably is not driven enough to be successful at PSU or Iowa. That is assuming his brother isn't at the other place or the family is dead broke etc...
The flip side of the coin is there is usually academic money and other things kids can get at a lot of schools. For example - my son got 17,000 academic aid to go to Mizzxou from the school when he applied. That would have helped with the 48,000 price tag, had he chosen to go there. If a kid was a scholarship wrestler and they could have come up with 10-12K which is less than 25%, it would have made Mizzou an attractive alternative. I think Iowa can do a lotto the same things.