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Long-term Incentive Compensation Plans - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Granted (in shares)       5,922,324      
Weighted average grant date fair value (in dollars per share)       $ 35.29      
Grant date fair value of vested shares       $ 244.4 $ 235.8 $ 246.2  
Number of unvested restricted AB Holding Units (in shares) 12,419,251 13,447,555   12,419,251 13,447,555    
Number of restricted AB Units without a service requirement (in shares) 9,189,286     9,189,286      
Number of restricted AB Units with a service requirement (in shares) 3,229,965     3,229,965      
Director | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Long-term incentive compensation charge       $ 1.0 $ 1.0 $ 1.2  
Granted (in shares)       29,952 30,102 30,870  
Weighted average grant date fair value (in dollars per share)       $ 34.06 $ 33.89 $ 38.55  
Minimum | Director | 2017 Grant 1 | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Long-term incentive awards vesting periods       3 years      
Incentive Compensation Plan              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Deferred compensation arrangement with individual, fair value of shares issued       $ 184.3 $ 170.2 $ 164.3  
Long-term incentive compensation charge       $ 208.0 $ 183.0 $ 160.1  
Period of recognition (in years)       5 years 4 months 20 days      
Unrecognized compensation cost $ 93.5     $ 93.5      
Incentive Compensation Plan | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Granted (in shares) 4,400,000 5,000,000.0 3,800,000 4,700,000 5,200,000 4,200,000  
Additional AB restricted units granted (in shares)         300,000 200,000 400,000
Incentive Compensation Plan | Minimum | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average grant date fair value (in dollars per share)         $ 30.56 $ 30.56 $ 38.84
Incentive Compensation Plan | Maximum | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average grant date fair value (in dollars per share)         $ 36.19 $ 38.84 $ 50.94
2017 Long Term Incentive Plan              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Maximum number of awards authorized for issuance (in shares)       60,000,000      
Number of newly-issued units (in shares)       30,000,000      
Granted AB holding unit net of forfeitures (in shares) 35,854,070 32,738,157   35,854,070 32,738,157    
AB Holding units available for future grant (in shares) 24,145,930 27,261,843   24,145,930 27,261,843    
Long Term Incentive Plan | Employee | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Long-term incentive awards vesting periods       3 years      
Long Term Incentive Plan | Employee | Restricted Stock Units (RSUs) | 33.3% of Options and 25% of Restricted AB Holding Units, Second Anniversary Vesting Period              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Annual vesting percentage for the term of award       33.30%      
Long Term Incentive Plan | Employee | Restricted Stock Units (RSUs) | 33.3% of Options and 25% of Restricted AB Holding Units, First Anniversary Vesting Period              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Annual vesting percentage for the term of award       33.30%      
Long Term Incentive Plan | Employee | Restricted Stock Units (RSUs) | 33.3% of Options and 25% of Restricted AB Holding Units, Third Anniversary Vesting Period              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Annual vesting percentage for the term of award       33.30%      
Employment and Separation Agreements | Restricted Stock Units (RSUs)              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Long-term incentive compensation charge       $ 17.6 $ 30.1 $ 35.0  
Granted (in shares)       1,200,000 500,000 500,000  
Employment and Separation Agreements | Minimum | Restricted Stock Units (RSUs)              
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 share)       $ 28.46 $ 27.86 $ 34.86  
Employment and Separation Agreements | Maximum | Restricted Stock Units (RSUs)              
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 share)       $ 37.26 $ 38.58 $ 49.90