How to i figure out what to put in the information about other state when filling out my other state tax credit.

If you need to file two state tax returns, the tax credit is usually carried over by the TurboTax software. 

You need to do the non-resident state tax return first, so you know the tax liability to enter for the credit on the second (or resident) state return. 

The other state tax credit is the tax liability for that other state. 

If you are doing another state return, look for the amount of state tax due on the income before payments and credits.