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Income Taxes (Details) - USD ($)
$ in Millions
6 Months Ended
Apr. 03, 2022
Mar. 28, 2021
Oct. 03, 2021
Income Tax Disclosure [Abstract]      
Effective tax rate 21.90% 19.20%  
Reduction in income tax expense due to excess tax benefits on share-based payments $ 4.8 $ 8.0  
Effective tax rate, excluding excess tax benefits on share-based payments 25.00% 25.80%  
Liability for uncertain tax positions $ 13.9   $ 14.1