Regarding the %, there is an official definition of what the maximum allowable "full scholarship" is. The NCAA's own rules are here: https://web3.ncaa.org/lsdbi/search/bylawView?id=8807.
A "full scholarship" means tuition, room and board, fees, and books (Cost of Attendance = COA). So 11.7 means 11.7 "full scholarship" dollars, which can be divided up any way the school wants, as long as every athlete on athletic aid receives at least 25% of a "full scholarship."
So if tuition is $10,000 and room-and-board is $10,000, total COA is $20,000. If they give you a $5,000 athletic scholarship, they could call it 25% of total COA, or they could call it 50% of tuition, and both would be correct. And it would be up to you to figure it out.
I knew a family once who got confused, and only realized when they got the bill at the start of the year that the 100% scholarship was only for tuition, not COA, and they couldn't afford the rest of the costs. It was very upsetting.