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Basis of Presentation and Summary of Significant Accounting Policies, Allowance for Doubtful Accounts (Details) - Allowance for Doubtful Accounts [Member] - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Oct. 01, 2016
Sep. 26, 2015
Movement in Valuation Allowance [Roll Forward]      
Allowance for doubtful accounts, beginning $ 8 $ 3 $ 3
Acquisition allowance for doubtful accounts 5 6 0
Bad debt expense 1 1 2
Write-offs against allowance (1) (2) (2)
Allowance for doubtful accounts, ending $ 13 $ 8 $ 3