Income Taxes (Deferred Tax Assets and Deferred Tax Liabilities) (Details) - USD ($) $ in Thousands	Oct. 01, 2023	Oct. 02, 2022
Deferred tax assets:
Operating and finance lease liabilities	$ 372,095	$ 351,746
Accrued defined benefit pension and postretirement benefits	18,896	19,090
Accrued legal settlements	11,099	15,158
Deferred income	15,137	13,524
Accrued insurance	8,086	8,339
Share-based compensation	6,139	5,094
Deferred Tax Assets, in Process Research and Development	1,943	0
Tax loss and tax credit carryforwards	1,956	4,399
Accrued incentive compensation	5,928	2,402
Other reserves and allowances	1,144	1,627
Accrued compensation expense	1,259	1,329
Property and equipment, net of impairment	181	0
Other, net	3,852	2,319
Total gross deferred tax assets	447,715	425,027
Valuation allowance	(1,043)	(1,140)
Total net deferred tax assets	446,672	423,887
Deferred tax liabilities:
Operating and finance lease ROU assets	(380,040)	(361,332)
Intangible assets	(84,969)	(87,165)
Property and equipment, principally due to differences in depreciation	0	(5,656)
Investment basis limitation	(6,191)	(6,010)
Other	(1,701)	(1,408)
Total gross deferred tax liabilities	(472,901)	(461,571)
Net deferred tax (liabilities) assets	$ 26,229	$ 37,684