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Income Taxes (Schedule of Effective Income Tax Rate Reconciliation) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 26, 2015
Sep. 27, 2014
Sep. 28, 2013
Income Taxes [Abstract]      
U.S. Federal income tax expense at the statutory rate $ 43 $ 23 $ 29
U.S. State income tax expense 7 5 (1)
Changes in state valuation allowance (7)    
Research and development credits (5) (20)  
Permanent differences   (2)  
Change in foreign valuation allowance   1 1
Rate differences between U.S. and foreign (2) (1) (2)
APB 23   (1)  
Other   (1) 1
Expense for income taxes $ 36 $ 4 $ 28