I admit that this is an unusual form. Most states just give you a credit for taxes paid to other state - they don't make you itemize the particular income items and then ask you to give them the tax in that state on that income (as if you would know). Worse, they don't ask you to separate the two spouses, as if you filed separately in the other state.
So try this:
1. Enter the data on your NY return. You won't know your NYS tax until you do this anyway.
2. Calculate the number of days you were in PA and divide that by 365.
3. Multiply your NYS income and NYS tax (see your NY form) by this ratio. You do this, because you can take a credit in PA only on income that was double taxed in PA - when you moved to NYS, it was no longer double taxed.
4. If your and your spouse's incomes are similar, just divide the income result on line 3 by 2 and the tax result on line 3 by 2.. If your incomes were very different, you can calculate a ratio of the two incomes and use that instead.
5. Go to your PA return and start entering. Use the amounts from line 4 for gross Wages (income) and tax on Schedule G/L. Don't bother breaking it all out - this is just an approximation anyway.
6. Remember that you have to do a Schedule G/L for each of you (watch for the PA instructions in the interview).
7. When done, check the PA return to see if the results make sense - assuming that you moved to NYS on October 15, 2021, then the ratio on the income and tax should be about 87% of the tax in NYS. So if your PA credit is about that much of the NYS tax, you've done good.
8. Now go back to NYS and do the interview again, to see if it changes anything.
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