Trade Accounts Receivable Sale Programs - Narrative (Details) - USD ($)	12 Months Ended
	Oct. 01, 2022	Oct. 02, 2021	Oct. 03, 2020
Amount Received From Trade Accounts Receivable Sold To Third Party [Line Items]
Trade accounts receivable sold	$ 787,500,000	$ 730,500,000	$ 834,400,000
Cash proceeds	783,100,000	728,400,000	$ 831,200,000
Trade accounts receivable sold, not yet collected	222,500,000	$ 176,000,000
MUFG RPA
Amount Received From Trade Accounts Receivable Sold To Third Party [Line Items]
Maximum facility amount	$ 340,000,000
Minimum prior notice required to cancel automatic extension	10 days
HSBC RPA
Amount Received From Trade Accounts Receivable Sold To Third Party [Line Items]
Maximum facility amount	$ 60,000,000