Hungarians have nothing to do with Huns. They're Magyars, which was a different population in Eastern Europe/the Uralic regiom. "Hungarian" itself does not come from "Hun", the etymology is different. In many countries, such as mine, it's easier to spot the difference since their name is either Ungur (notice the missing H) or Maghiar.

The origin of the population is unclear before they were in the Uralic region.