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Equity Method Investments in Affiliates - Additional Information (Details)
shares in Thousands, $ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2022
USD ($)
affiliate
Mar. 31, 2022
USD ($)
shares
Sep. 30, 2021
USD ($)
Sep. 30, 2022
USD ($)
affiliate
Sep. 30, 2021
USD ($)
Oct. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
affiliate
Dec. 31, 2016
USD ($)
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Number of affiliates | affiliate 21     21     21  
Equity method investments $ 95.5     $ 95.5     $ 111.4  
Baring Private Equity Asia (“BPEA”)                
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Equity method investments 132.7     132.7       $ 187.5
Private Markets Firm | Subsequent Event                
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Assets under management           $ 4,000.0    
Baring Private Equity Asia (“BPEA”) | EQT AB (“EQT”)                
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Expected cash proceeds   $ 240.0            
Expected equity interest issuable, number of shares (in shares) | shares   28,680            
Percentage of shares restricted   0.25            
Term of restricted shares   6 months            
Acquired Client Relationships                
Schedule of Equity Method Investments [Line Items]                
Amortization of Intangible Assets       36.9        
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Finite-lived intangible, future amortization expense, remainder of fiscal year 12.0     12.0        
Finite-lived intangible, future amortization expense in year one 50.0     50.0        
Finite-lived intangible, future amortization expense in year two 35.0     35.0        
Finite-lived intangible, future amortization expense in year three 35.0     35.0        
Finite-lived intangible, future amortization expense in year four 35.0     35.0        
Finite-lived intangible, future amortization expense in year five 35.0     35.0        
Equity Method Investee | Acquired Client Relationships                
Schedule of Equity Method Investments [Line Items]                
Amortization of Intangible Assets 31.4   $ 29.3 89.3 $ 93.8      
Estimated Future Amortization Expense of Finite-Lived Intangibles                
Finite-lived intangible, future amortization expense, remainder of fiscal year 25.0     25.0        
Finite-lived intangible, future amortization expense in year one 80.0     80.0        
Finite-lived intangible, future amortization expense in year two 50.0     50.0        
Finite-lived intangible, future amortization expense in year three 50.0     50.0        
Finite-lived intangible, future amortization expense in year four 40.0     40.0        
Finite-lived intangible, future amortization expense in year five $ 40.0     $ 40.0