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Intangible Assets (Details) - USD ($)
 3 Months Ended 9 Months Ended
Jan. 04, 2016
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2016
Sep. 30, 2015
Jul. 01, 2016
Intangible Assets            
Amortization and impairment expenses of intangible assets   $ 26,900,000 $ 30,500,000 $ 82,200,000 $ 86,400,000  
Affiliated Entity            
Intangible Assets            
Revenue recognized by equity method affiliate       658,600,000 514,600,000  
Net income recognized by equity method affiliate       $ 361,000,000 290,700,000  
Acquired Client Relationships            
Intangible Assets            
Weighted average life       10 years    
Amortization and impairment expenses of intangible assets   26,900,000 30,500,000 $ 82,200,000 86,400,000  
Number of future annual periods of amortization expense (in years)       5 years    
Foreign currency translation       $ (8,700,000)    
Accumulated impairment loss on goodwill   0   0    
Annual amortization expense attributable to current equity method Affiliates for next five years            
2016   110,000,000   110,000,000    
2017   110,000,000   110,000,000    
2018   110,000,000   110,000,000    
2019   110,000,000   110,000,000    
2020   110,000,000   $ 110,000,000    
Acquired Client Relationships Under Equity Method Investments | Affiliated Entity            
Intangible Assets            
Weighted average life       13 years    
Amortization and impairment expenses of intangible assets   14,000,000 8,600,000 $ 43,000,000 26,100,000  
Number of future annual periods of amortization expense (in years)       5 years    
Foreign currency translation   4,600,000 $ (1,500,000) $ 9,400,000 $ (3,200,000)  
Annual amortization expense attributable to current equity method Affiliates for next five years            
2016   70,000,000   70,000,000    
2017   70,000,000   70,000,000    
2018   70,000,000   70,000,000    
2019   70,000,000   70,000,000    
2020   $ 70,000,000   $ 70,000,000    
Systematica Investment LP and Baring Private Equity Asia | Acquired Client Relationships Under Equity Method Investments | Affiliated Entity            
Intangible Assets            
Business acquisition, finite-lived intangibles $ 547,600,000          
Business acquisition, goodwill, amortization period for tax deductions (in years) 15 years          
Capula Investment Management LLP, Mount Lucas Management LP and CapeView Capital LLP | Acquired Client Relationships Under Equity Method Investments | Affiliated Entity            
Intangible Assets            
Business acquisition, finite-lived intangibles           $ 332,700,000