Where does “ख्याति” come from?

ख्याति (Sanskrit) comes from Sanskrit ख्या, from Proto-Indo-European kʷeḱ- — to see; to look.

Ancestry of “ख्याति”, step by step

Step	Language	Word	Meaning
1	Sanskrit	ख्या	—
2	Proto-Indo-European	kʷeḱ-	to see; to look

ख्याति — Etymology, Origin & Word History | Etymology Explorer