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Goodwill and Acquired Client Relationships - Schedule of Changes in Acquired Client Relationships (Details) - USD ($)
3 Months Ended 12 Months Ended
Sep. 30, 2020
Jun. 30, 2020
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Definite-lived          
Foreign currency translation, accumulated depreciation     $ (600,000) $ (3,700,000)  
Net Book Value          
Beginning balance, net book value     1,048,800,000    
Intangible amortization and impairments     (35,700,000) (140,500,000) $ (144,500,000)
Ending balance, net book value     1,966,400,000 1,048,800,000  
Acquired Client Relationships          
Definite-lived          
Beginning balance, gross book value     1,166,600,000 1,248,800,000  
Beginning balance, accumulated amortization     (1,026,800,000) (1,039,000,000)  
Beginning balance, net book value     139,800,000 209,800,000  
Net investments     232,000,000.0    
Intangible amortization and impairments     (35,700,000) (69,800,000)  
Foreign currency translation, gross book value     600,000 3,500,000  
Foreign currency translation, net book value     0 (200,000)  
Transfers, gross book value     (35,000,000.0) (85,700,000)  
Transfers, accumulated amortization     35,000,000.0 85,700,000  
Ending balance, gross book value     1,364,200,000 1,166,600,000 1,248,800,000
Ending balance, accumulated amortization     (1,028,100,000) (1,026,800,000) (1,039,000,000)
Ending balance, net book value     336,100,000 139,800,000 209,800,000
Indefinite-lived          
Beginning balance, net book value     909,000,000.0 972,200,000  
Net investments     725,000,000.0    
Intangible impairments $ (14,000,000) $ (60,300,000) 0 (70,700,000)  
Foreign currency translation     (3,700,000) 7,500,000  
Ending balance, net book value     1,630,300,000 909,000,000.0 972,200,000
Net Book Value          
Beginning balance, net book value     1,048,800,000 1,182,000,000  
New investments     957,000,000.0    
Intangible amortization and impairments     (35,700,000) (140,500,000)  
Foreign currency translation     (3,700,000) 7,300,000  
Ending balance, net book value     $ 1,966,400,000 $ 1,048,800,000 $ 1,182,000,000