I suggest using the split that's listed on your W-2. That will match what is listed on your W-2.
If your office location was a mistake from the beginning then you could report $0 NY income. You'd probably be audited and I would not recommend this unless you had a letter from your company outlining a mistake or proof that you had a bona fide office for the months covered by NY withholding.
New York is aggressive in taxing telecommuters and has rules as to what constitutes a bona fide office. UT has a flat tax rate of 4.95% and your NY tax is probably 1%-1.5% higher, depending on your income, so that's the difference.
You will not owe NY tax next year if your company changed your work location and began withholding UT tax. NY will not bother you because your company will not report anything to NY.
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