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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 02, 2022
Dec. 27, 2020
Oct. 03, 2021
Income Tax Disclosure [Abstract]      
Effective tax rate 18.80% 17.00%  
Reduction in income tax expense due to excess tax benefits on share-based payments $ 4.5 $ 6.1  
Effective tax rate, excluding excess tax benefits on share-based payments 24.10% 26.80%  
Liability for uncertain tax positions $ 13.4   $ 14.1