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Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Intangible Asset, Acquired, Finite-Lived [Line Items]      
Impairment of intangible assets, finite-lived $ 16.2    
Impairment of intangible assets, finite-lived Extensible Enumeration amortized intangible assets    
Amortization of intangible assets $ 9.5 $ 7.5 $ 14.7
Client base      
Intangible Asset, Acquired, Finite-Lived [Line Items]      
Finite-lived intangible assets acquired 420.9    
Impairment of intangible assets, finite-lived   27.8  
Client base | CDI      
Intangible Asset, Acquired, Finite-Lived [Line Items]      
Finite-lived intangible assets acquired   $ 3.6  
Trade/domain names and other licenses      
Intangible Asset, Acquired, Finite-Lived [Line Items]      
Finite-lived intangible assets acquired $ 6.5