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Long-term Incentive Compensation Plans - Additional Information (Details) - USD ($)
1 Months Ended 12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation costs not yet recognized       $ 0    
Incentive Compensation Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Aggregate value awards under combined incentive plans       164,300,000 $ 184,100,000 $ 177,400,000
Long-term incentive compensation charge       160,100,000 $ 173,400,000 176,800,000
Unrecognized compensation cost       $ 114,000,000    
Period of recognition (in years)       6 years 1 month 6 days    
2017 Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Maximum number of awards authorized for issuance (in units)       60,000,000    
Number of newly-issued units (in units)       30,000,000    
Shares outstanding (in units)       0    
Granted (in units)         0  
Granted AB holding unit net of forfeitures (in units) 28,109,084     29,795,964 28,109,084  
AB Holding units available for future grant (in units) 31,890,916     30,204,036 31,890,916  
Employee Stock Option | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, First Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       20.00%    
Employee Stock Option | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Second Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       20.00%    
Employee Stock Option | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Third Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       20.00%    
Employee Stock Option | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Fourth Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       20.00%    
Employee Stock Option | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Fifth Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       20.00%    
Stock Compensation Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive compensation charge       $ 0 $ 0 0
Stock Compensation Plan | Director | 33.3% of Options and 25% of Restricted AB Holding Units, First Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%    
Stock Compensation Plan | Director | 33.3% of Options and 25% of Restricted AB Holding Units, Second Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%    
Stock Compensation Plan | Director | 33.3% of Options and 25% of Restricted AB Holding Units, Third Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%    
Option Awards            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares outstanding (in units) 5,774     0 5,774  
Granted (in units)       0    
Total intrinsic value of options exercised       $ 200,000 $ 2,200,000 32,368
Restricted Stock Units (RSUs)            
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    
Grant date fair value of vested shares       $ 246,200,000 $ 199,000,000 $ 155,000,000
Number of unvested restricted AB Holding Units (in units) 18,130,740     14,772,236 18,130,740  
Number of restricted AB Units without a service requirement (in units)       10,148,408    
Number of restricted AB Units with a service requirement (in units)       4,623,828    
Restricted Stock Units (RSUs) | Incentive Compensation Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Granted (in units) 3,800,000 3,300,000 5,000,000 4,200,000 3,500,000 5,300,000
Additional AB restricted units granted (in units)   200,000     400,000 300,000
Restricted Stock Units (RSUs) | Employment and Separation Agreements            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive compensation charge       $ 35,000,000.0 $ 40,900,000 $ 32,100,000
Granted (in units)       500,000 3,400,000 400,000
Restricted Stock Units (RSUs) | Minimum | Incentive Compensation Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Weighted average grant date fair value (in dollars per unit)       $ 38.84 $ 32.10 $ 28.75
Restricted Stock Units (RSUs) | Minimum | Employment and Separation Agreements            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive awards vesting periods       2 years    
Weighted average grant date fair value (in dollars per unit)       $ 34.86 29.06 18.80
Restricted Stock Units (RSUs) | Maximum | Incentive Compensation Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Weighted average grant date fair value (in dollars per unit)       $ 50.94 50.94 32.10
Restricted Stock Units (RSUs) | Maximum | Employment and Separation Agreements            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive awards vesting periods       10 years    
Weighted average grant date fair value (in dollars per unit)       $ 49.90 $ 53.86 $ 35.42
Restricted Stock Units (RSUs) | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, First Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%   25.00%
Long-term incentive awards vesting periods       4 years    
Restricted Stock Units (RSUs) | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Second Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%   25.00%
Restricted Stock Units (RSUs) | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Third Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award       33.30%   25.00%
Restricted Stock Units (RSUs) | Employee | 33.3% of Options and 25% of Restricted AB Holding Units, Fourth Anniversary Vesting Period | Long Term Incentive Plan            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual vesting percentage for the term of award           25.00%
Restricted Stock Units (RSUs) | Director            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive compensation charge       $ 1,200,000 $ 1,600,000 $ 1,200,000
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
Restricted Stock Units (RSUs) | President and CEO            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive compensation charge       $ 300,000 $ 900,000 $ 900,000
Restricted Stock Units (RSUs) | 2017 Grant 1 | Director | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive awards vesting periods       3 years    
Restricted Stock Units (RSUs) | 2017 Grant 1 | Director | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Long-term incentive awards vesting periods       4 years