A part-year resident of Minnesota would not receive a credit for Wisconsin tax unless you were working in WI at the same time you were living in MN.
If you lived in MN and worked in MN and then moved to WI and worked in WI, all your MN income would be taxed to MN and all your WI income would be taxed by WI. There would be no other state tax credit.
If you worked in WI while living in MN then your WI adjusted gross income (AGI) will be line 31 of Form 1NPR and your tax will be line 39.
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