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Property and Equipment - Summary of Property and Equipment (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Property, Plant and Equipment, Net, by Type [Abstract]    
Total cost $ 1,910.6 $ 1,716.0
Less: accumulated depreciation and amortization (1,096.8) (1,032.3)
Property and Equipment, Net $ 813.8 683.7
Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 3 years  
Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 35 years  
Buildings and leasehold improvements [Member]    
Property, Plant and Equipment, Net, by Type [Abstract]    
Total cost $ 877.4 789.2
Buildings and leasehold improvements [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 5 years  
Buildings and leasehold improvements [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 35 years  
Software [Member]    
Property, Plant and Equipment, Net, by Type [Abstract]    
Total cost $ 576.2 522.4
Software [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 3 years  
Software [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Equipment and Furniture [Member]    
Property, Plant and Equipment, Net, by Type [Abstract]    
Total cost $ 374.0 324.3
Equipment and Furniture [Member] | Minimum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 3 years  
Equipment and Furniture [Member] | Maximum [Member]    
Property, Plant and Equipment [Line Items]    
Property, Plant and Equipment, Useful Life 10 years  
Land [Member]    
Property, Plant and Equipment, Net, by Type [Abstract]    
Total cost $ 83.0 $ 80.1