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Long-Term Incentive Compensation Plans - Option Plan Activity (Details) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Options to Buy AB Holding Units      
Granted (in units) 0 0  
Exercised (in units) (889,119) (1,179,860)  
Option Awards      
Options to Buy AB Holding Units      
Outstanding as of December 31, 2017 (in units) 3,082,470    
Granted (in units) 0   54,546
Exercised (in units) (889,119)    
Forfeited (in units) 0    
Expired (in units) (1,522,108)    
Outstanding as of December 31, 2018 (in units) 671,243 3,082,470  
Exercisable as of December 31, 2018 (in units) 634,877    
Vested or expected to vest as of December 31, 2018 (in units) 671,243    
Weighted Average Exercise Price Per Option      
Outstanding as of December 31, 2017, Weighted Average Exercise Price Per Option (in dollars per unit) $ 52.37    
Granted, Weighted Average Exercise Price Per Option (in dollars per unit) 0.00    
Exercised, Weighted Average Exercise Price Per Option (in dollars per unit) 18.66    
Forfeited, Weighted Average Exercise Price Per Option (in dollars per unit) 0.00    
Expired, Weighted Average Exercise Price Per Option (in dollars per unit) 85.09    
Outstanding as of December 31, 2018, Weighted Average Exercise Price Per Option (in dollars per unit) 22.83 $ 52.37  
Exercisable as of December 31, 2018, Weighted Average Exercise Price Per Option (in dollars per unit) 22.84    
Vested or expected to vest as of December 31, 2018, Weighted Average Exercise Price Per Option (in dollars per unit) $ 22.83    
Weighted Average Remaining Contractual Term (Years)      
Outstanding, Weighted Average Remaining Contractual Term 1 year 7 months 6 days 1 year 2 months 12 days  
Exercisable as of December 31, 2018, Weighted Average Remaining Contractual Term 1 year 6 months    
Vested or expected to vest as of December 31, 2018, Weighted Average Remaining Contractual Term 1 year 7 months 6 days    
Outstanding as of December 31, 2018, Aggregate Intrinsic Value $ 3,000    
Exercisable as of December 31, 2018, Aggregate Intrinsic Value 2,800    
Vested or expected to vest as of December 31, 2018, Aggregate Intrinsic Value $ 3,000