State tax filing

You can get the allocated NYS tax amount on the screen Let's Review Your New York Numbers or the Summary of your New York Taxes screen. The Let's Review Your New York Numbers screen is at the very end of your New York state interview. As you can see from the screenshot below, it will list out your allocated NYS tax for the year. This will be the amount you use for your Virginia credit of taxes paid to another state. The Summary of New York Taxes screen can be seen from following the instructions provided above by @ThomasM125. 

For your tax situation, it is probable that you do not have any allocated NYS tax because New York income tax was mistakenly withheld. This would eliminate your tax liability for NY if you allocated zero of your income on your nonresident return. In that case, you would enter zero of taxes paid to another state. 

@midnsingh