Related Party Transactions (Details)	3 Months Ended		6 Months Ended
	Mar. 29, 2025 USD ($) aircraft	Mar. 30, 2024 USD ($)	Mar. 29, 2025 USD ($) aircraft	Mar. 30, 2024 USD ($)	Sep. 28, 2024 USD ($)
Related Party Transaction [Line Items]
Total revenue	$ 549,651,000	$ 393,332,000	$ 1,036,344,000	$ 753,275,000
Contract liabilities	1,094,449,000		1,094,449,000		$ 805,547,000
Remaining performance obligation, amount	22,700,000,000		22,700,000,000
Related party tax expense, due to affiliates, current	400,000		1,200,000
Related Party
Related Party Transaction [Line Items]
Total revenue	2,900,000	22,200,000	5,200,000	35,000,000.0
Accounts receivable	12,400,000		12,400,000		18,400,000
Contract liabilities	2,700,000		2,700,000		1,800,000
Related party tax expense, due from affiliates, current	300,000		1,100,000
Aircraft Time Sharing Agreement
Related Party Transaction [Line Items]
Expenses from transactions with related party	$ 500,000	300,000	$ 900,000	500,000
Aircraft Time Sharing Agreement | Related Party
Related Party Transaction [Line Items]
Number of aircrafts | aircraft	2		2
Usage of Facility and Employee Services
Related Party Transaction [Line Items]
Expenses from transactions with related party	$ 300,000	800,000	$ 700,000	1,500,000
C&S | Related Party
Related Party Transaction [Line Items]
Remaining performance obligation, amount	2,700,000		2,700,000
GreenBox | Related Party
Related Party Transaction [Line Items]
Total revenue	4,900,000	0	7,600,000	0
Accounts receivable	5,500,000	0	5,500,000	0
Contract liabilities	74,900,000	0	74,900,000	0	$ 69,100,000
Remaining performance obligation, amount	11,500,000,000		11,500,000,000
Payments to acquire interest in subsidiaries and affiliates	2,800,000	$ 0	2,800,000	$ 0
GreenBox | Related Party | Variable Interest Entity, Not Primary Beneficiary
Related Party Transaction [Line Items]
Payments to acquire interest in subsidiaries and affiliates	0		6,800,000
Shared Services Agreement | Related Party
Related Party Transaction [Line Items]
Accounts receivable	$ 2,100,000		$ 2,100,000