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Income Taxes (Reconciliation of Unrecognized Tax Benefits) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Unrecognized Tax Benefits      
Balance at beginning of year $ 96.5 $ 103.5 $ 140.3
Additions for tax positions of the current year 14.6 10.9 7.4
Additions for tax positions of prior years 1.4 1.2 6.6
Reductions for tax positions of prior years (0.3) (6.0) (15.4)
Settlements (3.7) (3.9) (0.6)
Statute of limitations expiration (9.9) (10.6) (25.5)
Foreign Currency Translation Increases 2.4 1.4  
Foreign Currency Translation Decreases     (9.3)
Balance at end of year $ 101.0 $ 96.5 $ 103.5