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Income Taxes, Effective Income Tax Rate Reconciliation (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Sep. 26, 2015
Income Taxes [Abstract]      
U.S. Federal income tax expense at the statutory rate $ 157 $ 108 $ 43
Adjustments to Reconcile to the Income Tax Provision [Abstract]      
U.S. state income tax expense 6 8 7
Changes in state valuation allowance (9) 2 (7)
Research and development credits (7) (8) (5)
Share-based compensation (33) (15) 0
Permanent differences 2 2 0
Changes in foreign valuation allowance 3 (1) 0
Foreign income taxed in the U.S. 0 7 0
Manufacturing tax benefits (6) 0 0
Deduction of worthless investment 0 (9) 0
Permanent foreign currency differences (1) (8) 0
Rate differences between U.S. and foreign (11) (14) (2)
Other 8 0 0
Expense for income taxes $ 109 $ 72 $ 36