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Net Income Per Unit (Details) - USD ($)
$ / shares in Units, $ 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
Earnings Per Share [Abstract]                      
Net income - basic $ 80,022 $ 59,828 $ 52,274 $ 46,439 $ 59,880 $ 65,900 $ 58,457 $ 58,160 $ 238,563 $ 242,397 $ 207,422
Additional allocation of equity in net income attributable to AB resulting from assumed dilutive effect of compensatory options                 79 447 680
Net income - diluted                 $ 238,642 $ 242,844 $ 208,102
Weighted average units outstanding - basic (in units)                 95,884,000 97,041,000 94,733,000
Dilutive effect of compensatory options (in units)                 44,000 251,000 430,000
Weighted average units outstanding - diluted (in units)                 95,928,000 97,292,000 95,163,000
Basic net income per unit (in dollars per unit) $ 0.84 [1] $ 0.62 [1] $ 0.54 [1] $ 0.49 [1] $ 0.63 [1] $ 0.68 [1] $ 0.59 [1] $ 0.60 [1] $ 2.49 $ 2.50 $ 2.19
Diluted net income per unit (in dollars per unit) $ 0.84 [1] $ 0.62 [1] $ 0.54 [1] $ 0.49 [1] $ 0.63 [1] $ 0.68 [1] $ 0.59 [1] $ 0.60 [1] $ 2.49 $ 2.50 $ 2.19
Antidilutive securities (in units)                 29,056 49,784 1,970,741
[1]
Basic and diluted net income per unit are computed independently for each of the periods presented. Accordingly, the sum of the quarterly net income per unit amounts may not agree to the total for the year.