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Intangible Assets, Goodwill and Acquisitions - Schedule of Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2020
Sep. 30, 2019
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 664.4 $ 647.1
Accumulated Amortization (422.7) (395.6)
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 656.9 639.6
Accumulated Amortization $ (420.0) (393.3)
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]    
Gross Carrying Amount $ 4.8 4.8
Accumulated Amortization $ (1.8) (1.7)
Trademarks | Minimum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 4 years  
Trademarks | Maximum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 12 years  
Noncompete Agreements    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 2.7 2.7
Accumulated Amortization $ (0.9) $ (0.6)
Noncompete Agreements | Minimum    
Finite Lived Intangible Assets [Line Items]    
Useful Life 5 years