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Business Description, Organization and Basis of Presentation (Details) - USD ($)
$ in Thousands
3 Months Ended
Jan. 01, 2018
Mar. 31, 2018
Dec. 31, 2017
Distribution Made to Limited Partner [Line Items]      
AXA and its subsidiaries ownership interest in Holding company (percent)   3.90%  
Units outstanding (in shares)   100,000 100,000
General partnership interest (percent)   1.00%  
Limited partners or members ownership interest in Company (percent)   100.00%  
AXA and its subsidiaries economic interest in Company (percent)   64.40%  
AXA and its subsidiaries      
Distribution Made to Limited Partner [Line Items]      
Limited partners or members ownership interest in Company (percent)   63.00%  
AB Holding      
Distribution Made to Limited Partner [Line Items]      
Limited partners or members ownership interest in Company (percent) 35.50% 35.80%  
Unaffiliated holders      
Distribution Made to Limited Partner [Line Items]      
Limited partners or members ownership interest in Company (percent)   1.20%  
Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09      
Distribution Made to Limited Partner [Line Items]      
Cumulative effect adjustment, net of tax, to partner's capital $ 12,500 $ 12,549  
Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09 | AllianceBernstein L.P.      
Distribution Made to Limited Partner [Line Items]      
Cumulative effect adjustment, net of tax, to partner's capital $ 35,000 $ 35,000