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Investment in AB (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Change in Equity Method Investment                      
Investment in AB as of January 1,       $ 1,490,701       $ 1,544,704 $ 1,490,701 $ 1,544,704  
Equity in net income attributable to AB Unitholders $ 87,909 $ 66,722 $ 59,023 $ 52,638 $ 66,759 $ 72,802 $ 65,388 $ 65,698 266,292 270,647 $ 232,393
Changes in accumulated other comprehensive (loss) income                 (1,167) (5,998) 8,562
Cash distributions received from AB                 (249,463) (308,042) (226,846)
Additional investments with proceeds from exercises of compensatory options to buy AB Holding Units                 11,511 16,589 20,110
Capital contributions to AB                 270   22
Capital contributions from AB                   (1,440)  
AB Holding Units retired                 (110,752) (194,544) (162,206)
AB Holding Units issued to fund long-term incentive compensation plans                 146,488 168,955 135,604
Change in AB Holding Units held by AB for long-term incentive compensation plans                 323    
Change in AB Holding Units held by AB for long-term incentive compensation plans                   (12,585)  
Investment in AB as of December 31, 1,554,203       1,490,701       1,554,203 1,490,701 $ 1,544,704
ASU 2016-01                      
Change in Equity Method Investment                      
Impact of ASU adoption 0       (133)       0 (133)  
Difference between Revenue Guidance in Effect before and after Topic 606 | ASU 2014-09                      
Change in Equity Method Investment                      
Impact of ASU adoption $ 0       $ 12,548       $ 0 $ 12,548