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Stockholders' Equity, Equity Incentive Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Sep. 26, 2015
Stockholders' Equity [Abstract]      
Stock-based compensation expense $ 20 $ 20 $ 21
Intrinsic value of options exercised $ 114    
2015 Plan [Member]      
Stockholders' Equity [Abstract]      
Shares authorized for grant (in shares)   7,500,000  
Increase in shares authorized for grant (in shares)   5,000,000  
Previous Incentive Plans [Member]      
Stockholders' Equity [Abstract]      
Number of shares permitted to be issued (in shares)   0