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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Oct. 01, 2023
Oct. 02, 2022
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2023 $ 19.8  
2024 14.0  
2025 2.1  
2026 1.8  
2027 1.2  
Thereafter 2.2  
Net Carrying Amount $ 41.1 $ 58.4