Did all of that in the exact order you mentioned. AR did credit the amount I paid to IL. However, there the difference that is basically "ghost" money. IL keeps it although I did not live there, but on top of that, asking for $139 extra in taxes. That is the part I am not sure about
Apologies, I didn't see the entire thread.
This situation happens when the nonresident state has a higher tax rate than the resident state. Your resident state will give you a credit up to the amount of tax that you would have had to pay on that income in that state. If you're paying a higher tax rate to the nonresident state, the credit that you would get in your resident state would be less than the tax paid to the nonresident state, as you're seeing in your case.
@moosejaw50