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Long-term Incentive Compensation Plans (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2015
Sep. 30, 2014
Dec. 31, 2014
Dec. 31, 2013
Deferred Compensation Arrangement with Individual, Share-based Payments [Line Items]            
Employee allocation percentage maximum         50.00% 50.00%
Long-term incentive cash maximum per employee         $ 250,000 $ 250,000
Long-term incentive awards vesting period     4 years      
Period over which holding units are typically distributed to directors     3 years      
AB Holding Units purchased in periods 3,000,000 100,000 3,800,000 200,000    
Dollar amount paid for AB Holding Units acquired $ 82,100,000 $ 1,300,000 $ 103,400,000 $ 5,400,000    
Open-market purchases of AB Holding Units (in units) 3,000,000   3,700,000      
Dollar amount paid for open-market purchases of AB Holding Units $ 82,100,000   $ 101,100,000      
Restricted AB Holding Units awarded to employees     300,000 800,000    
Units issued upon exercise of options 500,000   526,201 800,000    
Proceeds from stock options exercised     $ 8,979,000 $ 12,849,000    
Employees Based Outside of the United States            
Deferred Compensation Arrangement with Individual, Share-based Payments [Line Items]            
Employee allocation percentage maximum         100.00% 100.00%
Long-term incentive cash maximum per employee         $ 100,000 $ 100,000