अत्यन्त (Sanskrit) comes from Sanskrit अति, from Proto-Indo-Aryan áti, from Proto-Indo-Iranian áti, from Proto-Indo-European éti, from Proto-Indo-European h₁é, from Proto-Indo-European ǵʰe — Postpositional intensifying particle: indeed, at any rate, in fact.
Ancestry of “अत्यन्त”, step by step
अत्यन्त traces back through two separate lines of ancestry.