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Identifiable Intangible Assets Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 12 years    
Amortization $ 28.2 $ 27.0 $ 22.8
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    
Amortization $ 3.3 3.3 2.9
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 3.2    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 2.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 2.2    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 1.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 0.8    
Customer Relationships [Member]      
Finite-Lived Intangible Asset, Useful Life 4 years 2 months 12 days    
Technology-Based Intangible Assets [Member]      
Finite-Lived Intangible Asset, Useful Life 3 years 10 months 24 days    
Business Combination-Related Identifiable Intangible [Member]      
Amortization $ 24.9 $ 23.7 $ 19.9
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months 24.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Two 24.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 24.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 24.3    
Finite-Lived Intangible Assets, Amortization Expense, Year Five $ 4.8