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Stock-based Compensation Plans (Schedule of Share-based Compensation, Effect on Statement of Operations) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Decrease in operating income $ 11.1 $ 9.9 $ 11.0
Effect on net income or loss $ (8.7) $ (7.6) $ (8.2)
Effect on earnings or loss per basic share $ (0.06) $ (0.05) $ (0.05)
Effect on earnings or loss per diluted share $ (0.06) $ (0.05) $ (0.05)