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Identifiable Intangible Assets Narrative (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 12 years    
Amortization $ 27.0 $ 22.8 $ 22.1
Software and Software Development Costs [Member]      
Finite-Lived Intangible Asset, Useful Life 6 years    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 2 years 6 months    
Amortization $ 3.3 2.9 2.4
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 3.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 2.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 2.4    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 1.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 1.2    
Customer Relationships [Member]      
Finite-Lived Intangible Asset, Useful Life 6 years 3 months 18 days    
Technology-Based Intangible Assets [Member]      
Finite-Lived Intangible Asset, Useful Life 5 years 2 months 12 days    
Business Combination-Related Identifiable Intangible [Member]      
Amortization $ 23.7 $ 19.9 $ 19.7
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 25.0    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 24.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 24.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 24.6    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 24.1