Your tax is determined by the percentage of your income that is assignable to Minnesota, so you will see your total income but the amount that is taxed is the Minnesota income only. See M1NR.
For the portion of the year you are a Minnesota resident, you are taxed on income you receive inside and outside of Minnesota. When you live in Minnesota but work in another state, Minnesota taxes your out-of-state income. If another state taxes the same income that Minnesota taxes, you may qualify for a credit on taxes paid to the other state.
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