Persuasion
late Middle English: from Latin persuasio(n- ), from the verb persuadere (see persuade).
wiktionary
From French persuasion and its source, Latin persuāsiō, from persuādēre, from suādēre(“to advise, recommend”).
etymonline
persuasion (n.)
late 14c., persuasioun, "action of inducing (someone) to believe (something) by appeals to reason (not by authority, force, or fear); an argument to persuade, inducement," from Old French persuasion (14c.) and directly from Latin persuasionem (nominative persuasio) "a convincing, persuading," noun of action from past-participle stem of persuadere "persuade, convince," from per "thoroughly, strongly" (see per) + suadere "to urge, persuade," from PIE root *swād- "sweet, pleasant" (see sweet (adj.)).
Meaning "state of being convinced" is from 1530s; that of "religious belief, creed" is from 1620s. Colloquial or humorous sense of "kind, sort, nationality" is by 1864.