Income Taxes (Reconciliation of the Federal Statutory Income Tax Rate to Effective Tax Rate) (Details)	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Income Tax Disclosure [Abstract]
Income tax expense at federal statutory rate	21.00%	21.00%	21.00%
State income taxes, net of federal tax benefit	5.60%	5.20%	5.10%
Stock compensation tax deficiency (excess tax benefit)	0.00%	0.10%	(0.50%)
Benefit of tax credits, net of valuation allowance	(0.40%)	(0.60%)	(0.10%)
Adjustment to state tax provision	0.00%	0.00%	0.70%
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Percent	4.90%	0.00%	0.00%
Nondeductible transaction costs	0.00%	0.60%	0.00%
Expense (benefit) related to COLIs	(0.010)	0.021	(0.015)
Officers’ compensation limitation	0.60%	0.40%	0.50%
Other, net	0.20%	(0.30%)	0.00%
Effective tax rate	30.90%	28.50%	25.20%