A Part Year resident only reports and pays tax on all income earned for the time they were a resident of the state. You would not enter the Minnesota income on the Iowa return for the tax for credit paid to the other state (unless you still worked in Minnesota after you moved to Iowa in which case you would report it).
For Minnesota, you should have 75% taxed as part year income and Iowa should have 25% of your total income taxed for the part-year state return.
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