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Identifiable Intangible Assets Narrative (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life     12 years
Amortization $ 28.2 $ 28.2 $ 27.0
Goodwill $ 115.1 99.8 95.7
Software and Software Development Costs [Member]      
Finite-Lived Intangible Asset, Useful Life 6 years    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 1 year 9 months 18 days    
Amortization $ 3.3    
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 3.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 2.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 2.1    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 1.1    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 0.5    
Customer Relationships [Member]      
Finite-Lived Intangible Asset, Useful Life 4 years 4 months 24 days    
Technology-Based Intangible Assets [Member]      
Finite-Lived Intangible Asset, Useful Life 4 years 6 months    
Business Combination-Related Identifiable Intangible [Member]      
Amortization $ 25.2 $ 24.9 $ 23.7
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 25.4    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 24.8    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 24.8    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 5.2    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 4.4