Also, IMHO, 47-35 is 6 games over .500.
Going .500 means winning half of your games. A team that has played 82 games and has gone 41-41 is a .500 team. If a different team that plays 82 games wins 6 more games than the first team, they'd have a record of 47-35. Therefore the second team is "6 games over .500."
That is not right though. The team that is 47-35 would have to lose 12 games to be .500 and is thus 12 games over .500. You don't just say up they only play 82 games and take it from the 41 mid point. Look at every single newspaper, sports network, etc. if you are 47-35 you are 12 games over .500.
Put it another way the Yankees are currently 53-41, are they 28 games below .500 because 81-81 is a .500 record at the end of the year. No the Yankees are 12 games above .500 because they would have to lose 12 straight games to have a .500 record.
Sigh. We're still on this? I think you are explaining the right thing in the wrong way.
Let's label two mindsets:
A) A team that is 47-35 is six games over .500
B) A team that is 47-35 is twelve games over .500
Let's start with a team that is 10-10. Clearly, that team is at .500. If that team wins another game, it will be 11-10. According to mindset A, this team should be 0.5 games over .500, while mindset B has this team at one game over .500. However, saying this team is half a game over .500 sound incredibly silly. A team that is 11-10 is one game over .500.
Now, let's say that team wins another game, going to 12-10. A says that the team is 1 game over .500, while B says the team is 2 games over .500. But we can't have the team be one game over .500 at both 11-10 and 12-10, therefore it is two games over .500.
Repeat for however many games over .500 you want to talk about.
47-35 is six games above .500 if having exactly one more win than losses is being half a game over .500.