Over his career, he played for the Texas Rangers (1982-1984, 1993-1994), Toronto Blue Jays (1985-1992), and St. Louis Cardinals (1995). He was a large factor in the Toronto Blue Jays upsurgence during the mid-to-late 1980s, which culminated in World Series championships in 1992 and 1993.
As of 2003, his 311 career saves were ranked 12th all-time on the career saves list.