@AG-SC
The thing about the state credit is that it can't be more than your state tax would have been on the same income. For example, Ohio's tax rate appears to be about 3% and SC is 6.4%. Suppose your wages are $100,000 and other income is $10,000. Ohio would tax you $3000 on your wages. SC will tax you $7000 on your wages and other income. SC will give you a credit of $3000 for the Ohio tax on your wages, so your total taxes to both states will be $7000. SC will not give you a credit of $6400 (the tax on the wages in SC).
Note that many cities in Ohio charge city taxes that are not included in Turbotax. You would have to file a return manually from the city web site. However, I don't know what the residency requirements are. You might not owe city tax if your permanent residence is in SC. But on the other hand, you might owe city tax if you have a "place of abode" that you live in more than half the year, even if it is not your permanent residence. (A place of abode is a place where you live full time or could live full time, such as a mobile home or apartment or rented house, but not including a trailer, a camp site, or a hotel.). @Hal_Al may be able to tell you more about Ohio city taxes.
