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Income Taxes (Reconciliation of the Statutory U.S. Federal Income Tax Rate With Our Effective Income Tax Rate) (Details)
12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
Income Tax Disclosure [Abstract]      
Statutory rate 35.00% 35.00% 35.00%
State income taxes, net of federal tax benefit 2.80% 3.00% 2.80%
Benefits and taxes related to foreign operations (2.80%) (2.20%) (2.10%)
Domestic production activity deduction (1.80%) (1.90%) (2.20%)
Gain resulting from acquisition of joint venture 0.00% 0.00% (3.70%)
Other, net 0.00% (1.00%) (0.50%)
Effective tax rate 33.20% 32.90% 29.30%