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Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Acquired Finite-Lived Intangible Assets [Line Items]      
Impairment of intangible assets, finite-lived $ 27.8    
Impairment of intangible assets, finite-lived Extensible Enumeration amortized intangible assets    
Amortization of intangible assets $ 7.5 $ 14.7 $ 14.4
Client base      
Acquired Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets acquired $ 3.6    
Client base | CDI      
Acquired Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets acquired   8.5  
Trade/domain names | CDI      
Acquired Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets acquired   $ 0.4