Income Taxes (Details) - USD ($) $ in Millions	6 Months Ended
	Mar. 31, 2024	Apr. 02, 2023	Oct. 01, 2023
Income Tax Disclosure [Abstract]
Effective tax rate	27.60%	28.70%
Reduction in income tax expense due to excess tax benefits on share-based payments	$ 1.9	$ 1.8
Income tax expense, nonoperating	$ 2.8	$ 6.7
Effective tax rate, excluding excess tax benefits on share-based payments	27.10%	26.50%
Liability for uncertain tax positions	$ 62.3		$ 62.0