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Acquisition - Narrative (Details) - USD ($)
$ in Millions
2 Months Ended 6 Months Ended 12 Months Ended
Jul. 31, 2020
Sep. 30, 2020
Mar. 31, 2021
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Business Acquisition [Line Items]            
Purchase consideration in cash $ 4,500.0          
Business Combination Other Consideration Historical Compensation 200.0          
Debt 2,000.0 $ 3,017.1   $ 3,399.4 $ 3,017.1  
Definite-lived intangible assets weighted-average remaining useful life       6 years 8 months 12 days    
Unamortized debt premium 324.4          
Pro Forma Revenue     $ 1,500.8   7,862.0 $ 8,436.0
Pro Forma Net Income     $ 291.4   967.5 $ 886.6
Legg mason, revenue   475.7        
Legg mason, net loss   $ (28.7)        
Other Intangible Assets [Member]            
Business Acquisition [Line Items]            
Definite-lived intangibles assets 1,123.2          
Definite-lived intangible assets weighted-average remaining useful life       5 years 10 months 24 days    
Trade Names [Member]            
Business Acquisition [Line Items]            
Definite-lived intangibles assets $ 230.6          
Definite-lived intangible assets weighted-average remaining useful life       14 years 6 months    
Minimum [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       3 years    
Minimum [Member] | Other Intangible Assets [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       5 years    
Minimum [Member] | Trade Names [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       5 years    
Maximum [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       15 years    
Maximum [Member] | Other Intangible Assets [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       7 years    
Maximum [Member] | Trade Names [Member]            
Business Acquisition [Line Items]            
Intangible assets, estimated useful lives       20 years    
General, administrative and other expense [Member]            
Business Acquisition [Line Items]            
Business Combination, Acquisition Related Costs       $ 6.7 57.4  
Compensation and Benefits [Member]            
Business Acquisition [Line Items]            
Business Combination, Integration Related Costs       $ 13.0 $ 119.6