Being on a university campus it is worth checking out the parking situation ahead of time. First thing to check out is our location page. The Skaggs Biology Building is in red on the first map, with the recommended nearby parking lot in yellow.
More details on parking permits is available at http://www.parking.utah.edu/parking/ which points out:
Parking areas are designated by signs specifying the type of parking allowed and the hours of enforcement. Unless otherwise stated, permit lots are enforced year round, from 7:00 a.m. until 6:00 p.m. Monday through Friday. Some lots require permits until 10:00 p.m. and some individual spaces are reserved all day every day. A parking permit is not a guarantee of a parking space in a specific lot. Parking is available on a first come, first served basis. Lot designations change and availability is often impacted by a variety of events.
I recommend giving yourself a few extra minutes on Saturday morning to navigate the campus and find a good parking spot.