Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Oct. 02, 2022
Income Tax Disclosure [Abstract]
Effective tax rate	24.50%	18.80%
Reduction in income tax expense due to excess tax benefits on share-based payments	$ 1.7	$ 4.5
Effective tax rate, excluding excess tax benefits on share-based payments	25.70%	24.10%
Liability for uncertain tax positions	$ 10.8		$ 10.6