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Net Income Per Unit (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Earnings Per Share [Abstract]                      
Net income - basic $ 93,196 $ 66,999 $ 56,926 $ 62,259 $ 80,022 $ 59,828 $ 52,274 $ 46,439 $ 279,380 $ 238,563 $ 242,397
Additional allocation of equity in net income attributable to AB resulting from assumed dilutive effect of compensatory options                 56 79 447
Net income - diluted                 $ 279,436 $ 238,642 $ 242,844
Weighted average units outstanding - basic (in units)                 96,870,000 95,884,000 97,041,000
Dilutive effect of compensatory options (in units)                 27,000 44,000 251,000
Weighted average units outstanding - diluted (in units)                 96,897,000 95,928,000 97,292,000
Basic net income per unit (in dollars per unit) $ 0.97 [1] $ 0.70 [1] $ 0.59 [1] $ 0.63 [1] $ 0.84 [1] $ 0.62 [1] $ 0.54 [1] $ 0.49 [1] $ 2.88 $ 2.49 $ 2.50
Diluted net income per unit (in dollars per unit) $ 0.97 [1] $ 0.70 [1] $ 0.59 [1] $ 0.63 [1] $ 0.84 [1] $ 0.62 [1] $ 0.54 [1] $ 0.49 [1] $ 2.88 $ 2.49 $ 2.50
Antidilutive securities (in units)                 29,056 29,056 49,784
[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.