To insure that your tax return is accurate, you should allow TurboTax to fill in the information on Schedule A based on your entries in the step-by-step method of filling in your return. That being said, the state tax amount reported on Schedule A line 5a can include more than just the state tax withholdings reported on your W-2.
If the amount changed after you entered it, TurboTax most likely included an additional amount based on other entries in your return.
The information below is from the TurboTax help content describing what should be included on Schedule A line 5a:
Enter state and local tax withholding on Forms W-2, W-2G, or 1099-R. Also enter state withholding on 1099-DIV, 1099-INT, 1099-G, 1099-MISC, and Schedules K-1. These amounts automatically transfer to the Tax Payments Worksheet and from there to the Tax and Interest Deduction Worksheet. Mandatory contributions to state disability pension funds entered in either box 14 on the W-2 with the applicable code, or box 19 on the W-2 are included in the total on this line. If you made estimated tax payments, paid taxes for a prior tax year, or made any other state and local income tax payments not entered elsewhere, enter those taxes on the Tax Payments Worksheet.
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