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Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Acquired Finite-Lived Intangible Assets [Line Items]      
Amortization of intangible assets $ 14.4 $ 15.1 $ 5.8
Customer base      
Acquired Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets acquired 0.2    
Finite-lived intangible assets write-off $ 11.1    
Finite-lived intangible assets write-off [Extensible Enumeration] Provision for bad debts, net of recoveries and impairment