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Intangible Assets, Goodwill and Acquisitions - Schedule of Intangible Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2023
Sep. 30, 2022
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 732.0 $ 729.6
Accumulated Amortization (599.7) (555.3)
Customer Relationships    
Finite Lived Intangible Assets [Line Items]    
Gross Carrying Amount 725.5 723.1
Accumulated Amortization $ (594.1) (550.5)
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 $ (2.9) (2.6)
Noncompete Agreements    
Finite Lived Intangible Assets [Line Items]    
Useful Life 5 years  
Gross Carrying Amount $ 2.7 2.7
Accumulated Amortization $ (2.7) $ (2.2)