TurboTax automatically prorates part-year taxes for your state, based on the dates of residency you entered. Here's some behind-the-scenes information on how those calculations are performed.
Most states calculate the tax on part-year returns by dividing the income earned in that state by the federal adjusted gross income to come up with a ratio or percentage. That percentage is then applied to the state tax amount (based on the entire year's income) to prorate the tax liability.
To illustrate, let's say you moved from State A to State B last year, and your taxable income for the year was $100,000. You earned $75,000 of it in State A, the remaining $25,000 in State B.
According to the State A tax table, the tax on your total income ($100,000) is $9,500. However, because you only earned $75,000 (75%) of that income in State A, a factor of .75 is applied to the $9,500 tax figure, and your tax liability for State A is reduced to $7,125 ($9,500 x .75 = $7,125).
Similar calculations are performed on the State B return, except State B applies a factor of .25 to the tax on your annual income because you earned $25,000 (25%) of your income in State B.
Now suppose you earned the entire $100,000 in State A, but you only lived there for 1 month. State A would tax your entire income without prorating because you earned 100% of your income there.
In other words, the length of residency is irrelevant to the tax calculations; what matters is the percentage of your total income earned in that state. So you wouldn't owe taxes to State B although you lived there for the remaining 11 months, because you earned no income there.
Length of residency may be relevant when allocating earned income. We'll cover that in the last section.
In general, part-year residents are required to report all income received while a resident, as well as income from services performed in a state or income, gains, losses, and deductions related to tangible property (property that can be physically touched, such as buildings, cars, computers, furniture, etc.) located in this state.
Income from intangible property, such as interest income, dividends, and pensions, is reported to your resident state (where you lived when you received the income).