Use lines 3, 4, and 5 below to have additional withholding per pay period under special agreement with your employer. Withholding will be most accurate if you complete the worksheet and enter the result on the Form W-4 for the highest paying job.It is used to determine the amount of state income tax that should be withheld from each employee's paycheck. Today we are talking all about the new york state withholding form and how to fill that out. Every employee is required to complete a federal Withholding Allowance Certificate (W-4), which can also be utilized for state and local withholdings. Common reasons for completing a new Form IT-2104 each year include the following: • You started a new job. • You are no longer a dependent. The 2020 Form W4 has undergone significant changes to more closely align the withholding to the changes in the tax law.