New York's top marginal state income tax rate is 10.9%. State tax is progressive here, so most filers pay an effective rate well below the top figure — the calculator applies a blended approximation rather than modeling the full bracket schedule.
NYC residents pay an additional local income tax on top of the state rate. Statewide median household income is $82,000, which is the default loaded above.
Remember that a state with no income tax is not automatically cheaper overall. New York has an effective property tax rate of 1.54% and average homeowners insurance of $1,600 a year — states without wage income tax typically recover revenue through property or sales taxes.