Income Taxes (Reconciliation of the Federal Statutory Income Tax Rate to Effective Tax Rate) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
Income Tax Disclosure [Abstract]
Pre-tax income (loss)	$ (4,323)	$ 189,340	$ 161,892
Income tax at federal statutory rate	21.00%	21.00%	21.00%
Effective Income Tax Rate Reconciliation, Percent [Abstract]
State income taxes, net of federal benefit	5.40%	5.60%	5.20%
Stock-based compensation expense	(1.20%)	0.00%	0.10%
Tax credits, net of valuation allowance	7.90%	(0.40%)	(0.60%)
Nondeductible goodwill related to impairment	(811.50%)	0.00%	0.00%
Nondeductible goodwill related to the sale of company-operated restaurants	(41.30%)	4.90%	0.00%
Nondeductible transaction costs	0.00%	0.00%	0.60%
Expense (benefit) related to COLIs	1.088	(0.010)	0.021
Officers’ compensation limitation	(30.20%)	0.60%	0.40%
Other, net	(7.80%)	0.20%	(0.30%)
Effective tax rate	(748.90%)	30.90%	28.50%
Income Tax Expense (Benefit), Effective Income Tax Rate Reconciliation, Amount [Abstract]
Income tax at federal statutory rate	$ (908)	$ 39,821	$ 33,964
State income taxes, net of federal benefit	(233)	10,587	8,437
Stock-based compensation expense	51	71	122
Tax credits, net of valuation allowance	(340)	(818)	(906)
Nondeductible goodwill related to impairment	35,075	0	0
Nondeductible goodwill related to the sale of company-operated restaurants	1,787	9,280	0
Nondeductible transaction costs	0	0	940
Expense (benefit) related to COLIs	(4,703)	(1,947)	3,319
Officers’ compensation limitation	1,306	1,188	677
Other, net	337	332	(442)
Income tax expense from continuing operations	$ 32,372	$ 58,514	$ 46,111