Should I put in my 1099-MISC other income I won from a contest into my non-resident PA state return without it showing up as gambling winnings? If so, how do I do that?

How much is the 1099-misc for?    When you entered the income on the Federal Return, it is automatically transferred to your state returns, but you will come to a screen, see below, where you have to tell TurboTax how much of that income does not belong to PA.     

If you reported your prize winnings from a From 1099-misc, TurboTax will put that with gambling winnings (tax the same as ordinary income), so that is the screen you need to allocate - and you will only need to subtract out any of that income that does not belong to PA.    I reported $5100 in federal winnings and reported $2500 was not PA-sourced.   No tax was due.  

The Pennsylvania personal income tax does not provide for a standard deduction or personal exemption. However, individuals may reduce tax liabilities through certain deductions, credits and exclusions.

Deductions:

• Taxpayers may reduce taxable compensation for allowable unreimbursed expenses that are ordinary, actual, reasonable, necessary and directly related to the taxpayer’s occupation or employment.
• PA law allows three deductions against income: deductions for medical savings account contributions, health savings account contributions and IRC Section 529 tuition account program contributions.

Credits:

• Credit against Pennsylvania income tax is allowed for gross or net income taxes paid by Pennsylvania residents to other states.
• Credit is available to lower income families and individuals receiving Tax Forgiveness.
• Tax credit programs also reduce income tax liability for qualified applicants.

It turns out I just had to put a 0 in for the winnings outside of PA as I just left it blank when I originally did it. This response solved my issue and was extremely helpful and reassuring