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Cash Distributions (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 3 Months Ended
Apr. 26, 2018
Apr. 26, 2018
Mar. 31, 2018
Mar. 31, 2017
Jan. 01, 2018
Distribution Made to Limited Partner [Line Items]          
General partnership interest in Company (percent)     1.00%    
Diluted net income per AB Unit (in dollars per unit)     $ 0.68 $ 0.51  
Subsequent Event          
Distribution Made to Limited Partner [Line Items]          
Distribution declared (in dollars per unit) $ 0.80        
Difference between diluted net income per unit and distribution per unit (in dollars per unit)   $ 0.12      
Cash Distribution          
Distribution Made to Limited Partner [Line Items]          
Declaration date     Apr. 26, 2018    
General partnership interest in Company (percent)     1.00%    
Distribution date     May 17, 2018    
Date of record     May 07, 2018    
Accounting Standards Update 2014-09 | Difference between Revenue Guidance in Effect before and after Topic 606          
Distribution Made to Limited Partner [Line Items]          
Cumulative effect adjustment, net of tax, to partner's capital     $ 35.0   $ 35.0