The tax calculation in TurboTax is correct.
Your effective tax rate will be different from 12 or 22%, as your income is taxed at a blend of 10%, 12% and 22% or more. The lowest tax bracket is 10%, so your income will be a taxed at 10% until you move into the 12% bracket, so your income above the 10% bracket will be taxed at 12%, and so on.
For instance, if you were single and had taxable income of $20,000, the first $9,950 would be taxed at 10%, or $995. The remainder of $10,050 will be taxed at 12%, or $1,206. So your total tax is $2,201, which is 11% of your income, even though you are in a 12% marginal tax bracket.
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