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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Apr. 02, 2023
Oct. 02, 2022
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2023 (excluding the two quarters ended April 2, 2023) $ 10.3  
2024 20.5  
2025 14.5  
2026 1.8  
2027 1.5  
Thereafter 2.5  
Total estimated future amortization expense $ 51.1 $ 58.4