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Identifiable Intangible Assets Schedule of Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Feb. 15, 2017
Indefinite-lived intangible assets:      
Goodwill $ 95.7 $ 12.1 $ 7.2
Intangible Assets, Gross, (Including Goodwill) 758.0 708.0  
Accumulated amortization:      
Intangible Assets, Net (Excluding Goodwill) 433.7 408.1  
Goodwill, Acquired During Period 80.1    
Indefinite-lived Intangible Assets, Foreign Currency Translation Gain (Loss) 3.5    
Business Combination-Related Identifiable Intangible [Member]      
Accumulated amortization:      
Accumulated Amortization 337.0 313.3  
Net book value 421.0 394.7  
Trademarks and Trade Names [Member]      
Indefinite-lived intangible assets:      
Trade names and trademarks 271.4 266.6  
Software and Software Development Costs [Member]      
Capitalized external-use software:      
Capitalized Computer Software, Gross 30.2 27.6  
Accumulated amortization 17.5 14.2  
Net book value 12.7 13.4  
Technology-Based Intangible Assets [Member]      
Finite-lived intangible assets:      
Technology 116.6 82.6  
Accumulated amortization:      
Accumulated Amortization 76.4 72.9  
Customer Relationships [Member]      
Finite-lived intangible assets:      
Customer relationships and other 370.0 358.8  
Accumulated amortization:      
Accumulated Amortization $ 260.6 $ 240.4