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Net Income per Unit (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Earnings Per Unit [Abstract]        
Net income – basic $ 52,274 $ 58,457 $ 98,713 $ 116,617
Additional allocation of equity in net income attributable to AB resulting from assumed dilutive effect of compensatory options 19 115 45 259
Net income – diluted $ 52,293 $ 58,572 $ 98,758 $ 116,876
Weighted average units outstanding – basic (in units) 96,283,000 98,368,000 95,717,000 97,673,000
Dilutive effect of compensatory options (in units) 48,000 272,000 60,000 303,000
Weighted average units outstanding – diluted (in units) 96,331,000 98,640,000 95,777,000 97,976,000
Basic net income per unit (in dollars per unit) $ 0.54 $ 0.59 $ 1.03 $ 1.19
Diluted net income per unit (in dollars per unit) $ 0.54 $ 0.59 $ 1.03 $ 1.19
Anti-dilutive units excluded from diluted net income computation (in units) 29,056 850,155 29,056 1,211,906