The two sides agreed to a six-year, $20 million deal, making the move official with a press conference on Tuesday. Brohm will be replacing Darrell Hazell, who was fired October 16th after going 9-33 in three-plus seasons with the school.
The Boilermakers finished 3-9 this past season, as they turn to a coach that has won back-to-back C-USA Titles.
The 45-year-old Brohm went 30-10, including 2-0 in bowl games, since joining Western Kentucky in 2014. He has coached in the Big Ten as a quarterbacks coach with Illinois from 2010 to 2011.
Brohm did interview for the Baylor coaching vacancy, which was also filled on Tuesday by Temple's Matt Rhule. The 41-year-old reportedly received a seven-year deal, and will be introduced on Wednesday.
Rhule replaces Art Briles, who was fired in May due to the school's sexual assault scandal.
The new Bears' head coach went 28-23 in four seasons at Temple, including back-to-back 10-win seasons. Most recently, he lead his team to an AAC Championship win over Navy.
Baylor's interim coach, Jim Grobe, will step down following the team's Cactus Bowl matchup with Boise State on December 27th. He went 6-6 in his lone season with the school.
Rhule bounced back from a tough 2-10 year in his first season with the Owls, improving in every season since. After going 6-6 in his second year, Temple jumped up to 10-4 last season, and currently sit at 10-3 this year. They are now set to battle Wake Forest in he Military Bowl on December 27th, where assistant Ed Foley will serve as the interim coach.