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Income Taxes - Principal Reasons for the Difference Between the Effective Tax Rate and Statutory Tax Rate (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Income Tax Disclosure [Abstract]      
Credit for UBT 4.00% 4.00% 4.00%
Federal tax rate 3.50% 3.50% 3.50%
UBT statutory rate, percent 4.00% 4.00% 4.00%
AB Holding's effective tax expense [Abstract]      
UBT statutory rate $ 16,653 $ 12,336 $ 10,652
Federal tax on partnership gross business income 29,643 28,522 27,197
State income taxes 840 502 532
Credit for UBT paid by AB (16,653) (12,336) (10,652)
Total income taxes $ 30,483 $ 29,024 $ 27,729
AB Holding' effective tax rate [Abstract]      
UBT statutory rate, percent 4.00% 4.00% 4.00%
Federal tax on partnership gross business income, percent 7.10% 9.20% 10.20%
State income taxes, percent 0.20% 0.20% 0.20%
Credit for UBT paid by AB, percent (4.00%) (4.00%) (4.00%)
Income tax effective tax rate, percent 7.30% 9.40% 10.40%