Correct. TurboTax transfers over federal capital gains. If the only capital gains are from the sale of your rental property, the federal amount = the NC amount.
States provide a credit on double taxed income. You can claim an "other state tax credit" on your resident state return up to the amount of resident tax on that income. For example, NC has a flat rate of 5.25%. If you live in Pennsylvania, your flat tax rate is 3.07% so PA will only allow a credit up to 3.07%, not 5.25%. If your state tax is higher than 5.25% you can deduct the amount actually paid to NC.
TurboTax should automatically compute the nonresident credit if you prepare your nonresident return first.
How do I file a nonresident state return?
For federal purposes, you may be able to deduct any NC tax paid on the following year's return. For example, if you filed a 2020 return, you can claim a deduction on your 2021 return because that's the year you actually paid your state income tax.
Federal law limits the deduction for state and local taxes to $10,000 (the so-called SALT deduction). You will have to itemize deductions to deduct state tax on the federal return. Enter the tax paid anyway in Deductions & Credits. TurboTax will do the math for you.
Topic No. 503 Deductible Taxes
