Social Security tax is calculated by multiplying the gross income for a pay period by 6.2%. The difference likely comes from how your W-4 was filled out to withhold tax. If you didn't claim any dependents or chose married filing separately vs. married filing joint more taxes would be withheld for federal taxes, resulting in your federal taxes being withheld to be higher. The more dependents claimed or a married filing joint claim on the W-4 results in less federal taxes being withheld.
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