I forgot the part where thats my problem

What is the meaning of I missed the part where Thats my problem?

The way I understand it, it means "I missed the part where it says that it's my problem". In short, "that's not my problem". That's exactly how I understand it too.

Who said I missed the part where Thats my problem?

Peter Parker : I missed the part where that's my problem. Wrestling Promoter : [after he gives Peter $100 for winning a wrestling tournament] Now get outta here.