Long-Term Incentive Compensation Plans - Schedule of Grant Details of Restricted AB Holding Units (Details) - Restricted Stock Units (RSUs) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in units)	4,709,600
Weighted average grant date fair value (in dollars per unit)	$ 40.31
Employment and Separation Agreements
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in units)	500,000	3,400,000	400,000
Compensation Expense	$ 35.0	$ 40.9	$ 32.1
Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in units)	30,870	35,358	50,232
Weighted average grant date fair value (in dollars per unit)	$ 38.55	$ 44.29	$ 23.69
Compensation Expense	$ 1.2	$ 1.6	$ 1.2
Minimum | Employment and Separation Agreements
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average grant date fair value (in dollars per unit)	$ 34.86	$ 29.06	$ 18.80
Maximum | Employment and Separation Agreements
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average grant date fair value (in dollars per unit)	$ 49.90	$ 53.86	$ 35.42