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You don't have to doubt it. Look it up yourself.

  1. $100,000 income minus $24,800 standard deduction that all married couples get at a minimum = $75,200.

  2. Look up the tax for $75,200 in taxable income for married filing jointly in the 2020 1040 instructions (irs.gov) (it's $8,632).

  3. Subtract $2,800 child tax credit = $5,832.

That's your federal income taxes: 5.8%.

Then lookup the income tax for $65,998 taxable income (married couples get an additional $9,202 deduction) in California's 2020 tax calculator (webapp.ftb.ca.gov) (it's $1,614).

Total income taxes from $100,000 is $1,614 + $5,832 = $7,446. 7.4% of $100,000. Add in FICA taxes and you get $15,096, or 15.1%.