Reputation

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Middle English: from Latin reputatio(n- ), from reputare ‘think over’ (see repute).

wiktionary

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14c. "credit, good reputation", Latin reputationem(“consideration, thinking over”), noun of action from past participle stem of reputo(“reflect upon, reckon, count over”), from the prefix re-(“again”) + puto(“reckon, consider”).

etymonline

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reputation (n.)

mid-14c., reputacioun, "credit, good reputation, esteem;" late 14c. in the general sense of "opinion, estimation," good or bad; from Old French reputation, reputacion, and directly from Latin reputationem (nominative reputatio) "a reckoning, consideration, a thinking over," noun of action from past-participle stem of reputare "reflect upon, reckon, count over."

This is from re-, here perhaps "repeatedly" (see re-), + putare "to judge, suppose, believe, suspect," originally "to clean, trim, prune" (from PIE root *pau- (2) "to cut, strike, stamp").