The phrase emphasizes an overwhelming or total defeat of one party by another. The underdogs put the top-ranked team to rout in a surprising twist.
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Military Origins
Originally used in military contexts, referring to a total defeat and scattering of an army. The smaller army put the invaders to rout despite the odds.
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Figurative Use
Can be used figuratively to describe any comprehensive defeat, not just in sports or battle. The debate team put their rivals to rout with well-prepared arguments.