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Income Taxes - Gross Unrecognized (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Reconciliation of the beginning and ending amount of gross unrecognized tax benefits    
Balance at the beginning of the year $ 46.4 $ 47.1
Gross increase in current period's tax positions 17.4 4.3
Gross increase in prior years' tax positions 2.4 7.5
Gross decrease in prior years' tax positions (8.0)  
Decrease due to settlement with tax authorities (1.4) (1.3)
Decrease due to lapse of statute of limitations (0.5)  
Gross change due to foreign exchange fluctuations (1.1) (11.2)
Balance at the end of the year 55.2 46.4
Income Taxes, additional disclosures    
Accrued interest, excluding any related income tax benefits 20.5 20.0
Accrued penalties, excluding any related income tax benefits $ 1.7 $ 3.9