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Goodwill and Acquired Client Relationships - Additional Information (Details) - USD ($)
 3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Jun. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Acquired Client Relationships            
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Intangible impairments   $ 14,000,000   $ 0    
Average projected growth rate   (14.00%)        
Discount rate for assets based fees   15.00%        
Market participant tax rate   25.00%        
Closure of Certain Retail Investment Products | Acquired Client Relationships            
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Intangible impairments   $ 10,900,000        
Indefinite-lived acquired client relationships $ 0     0    
Controlling Interest | Acquired Client Relationships            
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Intangible impairments   12,500,000        
Controlling Interest | Closure of Certain Retail Investment Products | Acquired Client Relationships            
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Intangible impairments   7,400,000        
Acquired Client Relationships            
Intangible Assets            
Amortization and impairment expenses of intangible assets       25,300,000    
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Finite-lived intangible, future amortization expense, remainder of fiscal year 9,000,000     9,000,000    
Finite-lived intangible, future amortization expense in year one 30,000,000     30,000,000    
Finite-lived intangible, future amortization expense in year two 30,000,000     30,000,000    
Finite-lived intangible, future amortization expense in year three 15,000,000     15,000,000    
Finite-lived intangible, future amortization expense in year four 10,000,000     10,000,000    
Finite-lived intangible, future amortization expense in year five 10,000,000     10,000,000    
Intangible impairments     $ 60,300,000 0    
Indefinite-lived acquired client relationships 903,800,000   0 903,800,000   $ 909,000,000.0
Acquired Client Relationships | Controlling Interest            
Estimated Future Amortization Expense of Finite-Lived Intangibles            
Intangible impairments     $ 32,800,000      
Acquired Client Relationships | Intangible amortization and impairments            
Intangible Assets            
Amortization and impairment expenses of intangible assets $ 8,900,000 $ 7,000,000   $ 25,300,000 $ 48,200,000