How much can I get back? Gross pay 41754.net 39904.92 I am single

And how much federal and how much state taxes where taken out, net could be any deductions like insurance and so on.

Federal $5000.33
State $1822.44
Local income tax $1099.92

Assuming you are a U.S. resident and can claim the $5,800 standard deduction plus $3,700 personal exemption, your federal tax liability is $4,416, so your refund is $584.

Need to know locality for "local" tax.