Joe Montana has the highest completion percentage by a quarterback with 14+ passing attempts in a Championship game, at 86.7 percent in the 1989 NFC Championship game versus the Rams on January 14, 1990.

highest completion percentage by a qb in the conference championships of the playoffs who attempts a minimum of 14 passes
Interpreted as:
highest completion percentage by a qb in the conference championships of the playoffs who passing attempts a minimum of 14 passes

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