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, 2022	Dec. 31, 2021	Dec. 31, 2020
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	$ 12,220	$ 16,653	$ 12,336
Federal tax on partnership gross business income	30,676	29,643	28,522
State income taxes	663	840	502
Credit for UBT paid by AB	(12,220)	(16,653)	(12,336)
Total income taxes	$ 31,339	$ 30,483	$ 29,024
AB Holding' effective tax rate [Abstract]
UBT statutory rate, percent	4.00%	4.00%	4.00%
Federal tax on partnership gross business income, percent	10.00%	7.10%	9.20%
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	10.30%	7.30%	9.40%