Budde was a star at Rockhurst High School before continuing his career at the University of Southern California from 1976-1979. He was then drafted in the first round by the Chiefs in 1980 and played for his hometown team until 1986 starting 72 of the 96 games he played in the NFL.
During his college career he helped the Trojans to the 1978 national championship. Budde also won the Lombardi award in 1979 and was a unanimous All-American that same year. In 1999 he was inducted to the USC Hall of Fame. In 2010 he was inducted to the Rose Bowl Hall of Fame and in 2015 he was named to the PAC-12 All Century Football Team.
Budde is a physical therapist and currently lives in California.