Income Taxes - Schedule of Components of Net Deferred Tax Assets (Details) - USD ($) $ in Thousands	Sep. 27, 2024	Sep. 29, 2023
Deferred tax assets:
Other employee benefit plans	$ 110,377	$ 108,379
Net operating losses	259,335	265,377
Foreign tax credit	42,394	68,874
Lease liability	93,488	102,701
Unrealized foreign exchange loss	11,891	32,090
Other	10,178	1,993
Valuation allowance	(217,397)	(199,892)
Gross deferred tax assets	310,266	379,522
Deferred tax liabilities:
Depreciation and amortization	(130,582)	(242,366)
Lease right of use asset	(41,817)	(42,440)
Partnership investment	0	(61,614)
Hedge investments	(13,862)	(34,045)
Unrealized foreign exchange gain	(12,598)	(31,205)
Other	(32,656)	(36,252)
Gross deferred tax liabilities	(231,515)	(447,922)
Net deferred tax assets (liabilities)	$ 78,751
Net deferred tax assets (liabilities)		$ (68,400)