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We are not experts on tax law for all states but will assume that SDI is state disability insurance. If so, you can include this as an itemized deduction on Schedule A along with other state taxes - it has no impact on your standard deduction. Itemizing deductions is an advantage only if your total itemized deductions are greater than your Standard Deduction for your filing status and age. Common itemized deductions are: qualified medical expenses that exceed 7.5% of your adjusted gross income, property taxes, state/local income taxes paid, mortgage interest, and charitable contributions. Note that the deduction for state and local income, sales, SDI and/or property tax is capped at $10,000.
To find out more about Itemized Deductions, go to: https://www.irs.gov/taxtopics/tc500. You will find an index of Tax Topics on types of itemized deductions. Click on the topic number for full details on each.