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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Oct. 02, 2022
Oct. 03, 2021
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2023 $ 20.5  
2024 19.9  
2025 13.9  
2026 1.3  
2027 1.0  
Thereafter 1.8  
Net Carrying Amount $ 58.4 $ 253.5