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I calculated $631 in Social security and $147 owed for Medicare. Even with 6% FUTA of $600, it still seems wrong.
It's hard to say without being able to see your entries. In addition to paying your share of social security and medicare, you have to either pay the babysitter's portion for them, or remit what you withheld from their pay. As a result, your liability for social security and medicare taxes is 15.3% of $10,182.89 = $1,557.98. In addition, you would owe FUTA.
For additional information, see IRS 2019 Instructions for Schedule H (2019)
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