Income Taxes (Reconciliation of the Federal Statutory Income Tax Rate to Effective Tax Rate) (Details)	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020
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	5.20%	5.10%	5.30%
Stock compensation tax deficiency (excess tax benefit)	0.10%	(0.50%)	(0.40%)
Benefit of jobs tax credits, net of valuation allowance	(0.60%)	(0.10%)	(0.50%)
Adjustment to state tax provision	0.00%	0.70%	0.00%
Nondeductible transaction costs	0.60%	0.00%	0.00%
Expense (benefit) related to COLIs	0.021	(0.015)	(0.009)
Officers’ compensation limitation	0.40%	0.50%	2.20%
Other, net	(0.30%)	0.00%	0.10%
Effective tax rate	28.50%	25.20%	26.80%