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Basis of Presentation and Major Accounting Policies (Allowance for Doubtful Accounts) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Allowance for Credit Losses      
Beginning balance $ 25.1 $ 23.9 $ 24.8
Adoption of new credit losses standard   0.5  
Provision for credit losses 7.5 2.7 7.7
Write-offs charged against the allowance (7.9) (3.8) (8.3)
Currency translation and other (0.6) 1.8 (0.3)
Ending balance $ 24.1 $ 25.1 $ 23.9