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Related Party Transactions (Details)	3 Months Ended
Related Party Transactions (Details)	Dec. 28, 2024 USD ($) aircraft	Dec. 30, 2023 USD ($)	Sep. 28, 2024 USD ($)	Sep. 30, 2023 USD ($)
Related Party Transaction [Line Items]
Contract liabilities	$ 863,886,000		$ 805,547,000
Remaining performance obligation, amount	22,400,000,000
Related party tax expense, due to affiliates, current	900,000
Related Party
Related Party Transaction [Line Items]
Revenues	2,200,000	$ 12,800,000
Accounts receivable	5,200,000		18,400,000
Contract liabilities	2,500,000		1,800,000
Related party tax expense, due from affiliates, current	800,000
Aircraft Time Sharing Agreement
Related Party Transaction [Line Items]
Expenses from transactions with related party	$ 400,000	200,000
Aircraft Time Sharing Agreement \| Related Party
Related Party Transaction [Line Items]
Number of aircrafts \| aircraft	2
Usage of Facility and Employee Services
Related Party Transaction [Line Items]
Expenses from transactions with related party	$ 400,000	700,000
C&S Wholesale Grocers, Inc. \| Related Party
Related Party Transaction [Line Items]
Remaining performance obligation, amount	4,600,000
GreenBox \| Related Party
Related Party Transaction [Line Items]
Revenues	2,700,000	0
Accounts receivable	0	0
Contract liabilities	77,100,000	$ 0	$ 69,100,000
Remaining performance obligation, amount	11,500,000,000
Investments in unconsolidated VIE	6,800,000			$ 0
GreenBox - Shared Services Agreement \| Related Party
Related Party Transaction [Line Items]
Accounts receivable	$ 2,000,000.0