Long-Term Incentive Compensation Plans - Option Plan Activity (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021
Options to Buy AB Holding Units
Exercised (in units)	(5,774)	(143,211)
Option Awards
Options to Buy AB Holding Units
Beginning balance (in units)	5,774
Granted (in units)	0
Exercised (in units)	(5,774)
Forfeited (in units)	0
Expired (in units)	0
Ending balance (in units)	0	5,774
Exercisable (in units)	0
Vested or expected to vest (in units)	0
Weighted Average Exercise Price Per Option
Beginning balance (in dollars per unit)	$ 20.12
Granted, Weighted Average Exercise Price Per Option (in dollars per unit)	0
Exercised, Weighted Average Exercise Price Per Option (in dollars per unit)	20.12
Forfeited, Weighted Average Exercise Price Per Option (in dollars per unit)	0
Expired, Weighted Average Exercise Price Per Option (in dollars per unit)	0
Ending balance (in dollars per unit)	0	$ 20.12
Exercisable, Weighted Average Exercise Price Per Option (in dollars per unit)	0
Vested or expected to vest, Weighted Average Exercise Price Per Option (in dollars per unit)	$ 0
Weighted Average Remaining Contractual Term (Years)
Outstanding, Weighted Average Remaining Contractual Term	0 years	3 months 29 days
Exercisable, Weighted Average Remaining Contractual Term	0 years
Vested or expected to vest, Weighted Average Remaining Contractual Term	0 years
Outstanding, Aggregate Intrinsic Value	$ 0.0
Exercisable, Aggregate Intrinsic Value	0.0
Vested or expected to vest, Aggregate Intrinsic Value	$ 0.0