Part time resident and unemployment income

Hi,

 

I lived in DC until 6/31 and  moved to MA 7/1. During the month of July, I received $4406 in unemployment benefits pay by DC FMLA due to my previous employment there. I have a 1099-G from DC which lists state tax income withheld of $176.

From what I understand, since I received that income while living in MA, this counts as taxable income for MA, but that I can get credit for since I was taxed in DC.  How do I find out how much I'm being taxed by DC for that specific income to list it as a credit?  (not sure if it's just the amount withheld listed on the DC 1099-G, or if TurboTax is also calculating additional tax owed to DC from that  based on my tax bracket).

 

Thank you!