Basically, the way it works is you will divide your income from New York sources by your total income, then use that percentage to allocate your New York tax.
For instance, you report all of your income for the year as though it was earned in New York and take the deductions and credits allowed as if you were a New York resident to arrive at your New York taxable income, and then calculate your income tax like you normally would. Then, you multiply the tax by the percentage of income earned in New York to arrive at your New York income tax.
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