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Goodwill and Other Intangible Assets - Schedule of Estimated Remaining Amortization Expense (Details) - USD ($)
$ in Millions
Sep. 30, 2024
Sep. 30, 2023
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2025 $ 406.6  
2026 170.3  
2027 116.1  
2028 70.5  
2029 20.8  
Thereafter 166.3  
Total $ 950.6 $ 1,230.1