I am getting other state tax credit. turbo tax is calculating on the full amount that I am liable to pay but I paid less and owe the balance amount.

Please clarify your question by adding some additional information so we may better help you. Such as: What version of TurboTax are you using? Did you work in multiple states? Which ones? Are you asking about a credit on your resident state tax return for income earned in another state? Did you enter all of your W-2(s) in TurboTax? Did you complete a resident and nonresident tax return? Did you complete the nonresident return first?