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Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Goodwill impairment $ (16.3) $ 0.0 $ (6.8)
Amortization 27.1 28.1 28.5
Net goodwill 80.7 93.7 98.6
Impairment of indefinite-lived intangible assets $ 0.4    
Capitalized internal-use software:      
Finite-Lived Intangible Asset, Useful Life 6 years    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 4 years 2 months 12 days    
Amortization $ 2.6 2.9 2.9
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 2.3    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 1.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 1.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 1.1    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 0.7    
Customer relationships and other      
Finite-Lived Intangible Asset, Useful Life 7 years 3 months 18 days    
Technology      
Finite-Lived Intangible Asset, Useful Life 7 years 1 month 6 days    
Business combination-related intangible assets, net      
Amortization $ 24.9 $ 25.2 $ 25.5
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 5.3    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 5.0    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 4.8    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 4.8    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 4.0