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Identifiable Intangible Assets Schedule of Intangible Assets and Goodwill (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Indefinite-lived intangible assets:      
Goodwill $ 93.7 $ 98.6 $ 115.1
Intangible Assets, Gross, (Including Goodwill) 763.7 764.2  
Accumulated amortization:      
Intangible Assets, Net (Excluding Goodwill) 334.0 361.2  
Indefinite-lived Intangible Assets, Foreign Currency Translation Gain (Loss) (4.9) (9.7)  
Business Combination-Related Identifiable Intangible [Member]      
Accumulated amortization:      
Accumulated Amortization 438.1 411.7  
Net book value 325.6 352.5  
Trademarks and Trade Names [Member]      
Indefinite-lived intangible assets:      
Trade names and trademarks 272.6 272.7  
Software and Software Development Costs [Member]      
Capitalized external-use software:      
Capitalized Computer Software, Gross 38.1 35.5  
Accumulated amortization 29.7 26.8  
Net book value 8.4 8.7  
Technology-Based Intangible Assets [Member]      
Finite-lived intangible assets:      
Technology 119.6 119.9  
Accumulated amortization:      
Accumulated Amortization 95.3 89.5  
Customer Relationships [Member]      
Finite-lived intangible assets:      
Customer relationships and other 371.5 371.6  
Accumulated amortization:      
Accumulated Amortization $ 342.8 $ 322.2