People attending a basketball game either supported the home team or the visiting team. If 2940 of the people attending supported the home team and 560 supported the visiting team, what percentage supported the home team?

The total number of people attending the game is 2940 + 560 = <<2940+560=3500>>3500 people.

The percentage supporting the home team is (2940 / 3500) * 100% = <<(2940/3500)*100=84>>84%. Answer: \boxed{84}.