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Identifiable Intangible Assets Narrative (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Sep. 30, 2021
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Amortization   $ 28.1 $ 28.5 $ 28.2
Goodwill, Impairment Loss   0.0 6.8 0.0
Goodwill $ 115.1 93.7 98.6 115.1
Impairment of indefinite-lived intangible assets   $ 0.0    
Software and Software Development Costs [Member]        
Finite-Lived Intangible Asset, Useful Life   6 years    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life   4 years 2 months 12 days    
Amortization $ 3.3 $ 2.9 2.9  
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months   2.6    
Finite-Lived Intangible Assets, Amortization Expense, Year Two   2.0    
Finite-Lived Intangible Assets, Amortization Expense, Year Three   1.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Four   1.1    
Finite-Lived Intangible Assets, Amortization Expense, Year Five   $ 0.8    
Customer Relationships [Member]        
Finite-Lived Intangible Asset, Useful Life   3 years 3 months 18 days    
Technology-Based Intangible Assets [Member]        
Finite-Lived Intangible Asset, Useful Life   7 years 8 months 12 days    
Business Combination-Related Identifiable Intangible [Member]        
Amortization   $ 25.2 $ 25.5 $ 25.2
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months   24.8    
Finite-Lived Intangible Assets, Amortization Expense, Year Two   5.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Three   5.1    
Finite-Lived Intangible Assets, Amortization Expense, Year Four   4.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Five   $ 4.8