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Stockholders' Equity (Share Repurchase) (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Share Repurchase [Line Items]      
Share repurchase program $ 432.3 $ 525.6 $ 237.3
Share repurchase program (in shares) 4.7 8.0  
Treasury stock, average price per share (in dollars per share) $ 92.97 $ 65.70  
Remaining shares available under share repurchase program $ 174.1    
Authorized repurchased amount $ 500.0