Where does “gyorsat” come from?

gyorsat (Hungarian) comes from Hungarian -at, from Hungarian -t, from Proto-Uralic -tt.

Ancestry of “gyorsat”, step by step

Step	Language	Word	Meaning
1	Hungarian	-at	Added to a back-vowel verb to form a verb with a...
2	Hungarian	-t	Used to form the accusative case; -ed, -t. Used...
3	Proto-Uralic	-tt	—