In Croatia, Šat families are predominantly Croats (from Vukovar area ), rarely Hungarians (from Beli Manastir area ), and . In the past century, relatively most of Croatian residents bearing this family name were born in Vukovar and in Vukovar area.
Prevalence
About 10 people with faimily name Šat live in Croatia today, in 6 households. There were 10 of them in the middle of the past century, and their number remains constant. They are located in only five naselja i to in Vukovar (<10), Osijek (<5), Knezevi Vinogradi in Beli Manastir area (<5), Bogdanovci in Vukovar area (<5), and in Zmajevac in Beli Manastir area (<5).
In the sources analysed in the project Acta Croatica so far, the name is mentioned few times, the first time 1902 in source Hartmann's General List of Apartments in Zagreb.