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Intangible Assets, Goodwill and Acquisitions - Schedule of Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2021
Sep. 30, 2020
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 692.0 $ 672.8
Accumulated Amortization (477.9) (451.5)
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 685.5 666.3
Accumulated Amortization $ (474.4) (448.3)
Customer Relationships | Minimum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 6 years  
Customer Relationships | Maximum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 21 years  
Trademarks    
Finite Lived Intangible Assets [Line Items]    
Useful Life 12 years  
Gross Carrying Amount $ 3.8 3.8
Accumulated Amortization (2.1) (2.0)
Noncompete Agreements    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 2.7 2.7
Accumulated Amortization $ (1.4) $ (1.2)
Noncompete Agreements | Minimum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 5 years  
Noncompete Agreements | Maximum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 7 years