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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]                      
Percentage of General Partnership interest in company                 1.00%    
Percentage of Limited Partners interest in Company                 99.00%    
Net income per unit, basic and diluted [Abstract]                      
Net income attributable to AB Unitholders $ 248,865 $ 187,811 $ 166,252 $ 149,114 $ 188,053 $ 203,674 $ 181,665 $ 184,196 $ 752,042 $ 757,588 $ 662,403
Weighted average units outstanding—basic (in units)                 268,075,000 269,236,000 266,955,000
Dilutive effect of compensatory options to buy AB Holding Units (in units)                 44,000 251,000 430,000
Weighted average units outstanding - diluted (in units)                 268,119,000 269,487,000 267,385,000
Basic net income per AB Unit (in dollars per unit) $ 0.92 [1] $ 0.69 [1] $ 0.61 [1] $ 0.55 [1] $ 0.70 [1] $ 0.75 [1] $ 0.66 [1] $ 0.68 [1] $ 2.78 $ 2.79 $ 2.46
Diluted net income per AB Unit (in dollars per unit) $ 0.92 [1] $ 0.69 [1] $ 0.61 [1] $ 0.55 [1] $ 0.70 [1] $ 0.75 [1] $ 0.66 [1] $ 0.68 [1] $ 2.78 $ 2.78 $ 2.45
Options excluded from diluted net income per unit computation due to their anti-dilutive effect (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.