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Other Intangible Assets and Goodwill (Estimated Future Amortization Expense) (Details) - USD ($)
$ in Millions
Jul. 03, 2022
Oct. 03, 2021
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2022 (excluding the three quarters ended July 3, 2022) $ 46.5  
2023 20.8  
2024 20.3  
2025 14.4  
2026 1.5  
Thereafter 2.8  
Total estimated future amortization expense $ 106.3 $ 253.5