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Intangible Assets - Schedule of Gross and Net Carrying Values of Intangible Assets (Details) - USD ($)
$ in Millions
Sep. 30, 2025
Sep. 30, 2024
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross amount $ 458.0 $ 46.7
Finite-lived intangible assets, accumulated amortization (26.1) (32.9)
Finite-lived intangible assets, net amount 431.9 13.8
Indefinite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 6.0 5.8
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Intangible assets, gross amount 464.0 52.5
Accumulated amortization (26.1) (32.9)
Total intangible assets, net amount 437.9 19.6
Website domains    
Indefinite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 2.3 2.1
Business licenses    
Indefinite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 3.7 3.7
Trade/domain names and other licenses    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross amount 10.6 4.1
Finite-lived intangible assets, accumulated amortization (4.9) (3.2)
Finite-lived intangible assets, net amount 5.7 0.9
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated amortization (4.9) (3.2)
Software programs/platforms    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross amount 2.4 4.9
Finite-lived intangible assets, accumulated amortization (2.0) (4.1)
Finite-lived intangible assets, net amount 0.4 0.8
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated amortization (2.0) (4.1)
Client base    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross amount 445.0 37.7
Finite-lived intangible assets, accumulated amortization (19.2) (25.6)
Finite-lived intangible assets, net amount 425.8 12.1
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated amortization $ (19.2) $ (25.6)