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Share Plans (Schedule of Share Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2016
Sep. 25, 2015
Sep. 26, 2014
Share Option Activity [Roll Forward]      
Beginning balance 2,786,443 3,526,789  
Granted 1,248,828 635,567  
Exercised (413,830) (1,132,778)  
Expired/Forfeited (199,585) (243,135)  
Ending balance 3,421,856 2,786,443 3,526,789
Share options vested and unvested expected to vest 2,997,502    
Share options exerciseable 1,388,805    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]      
Weighted-average exercise price, outstanding share options $ 61.17 $ 52.76 $ 36.84
Weighted-average exercise price, granted share options 72.44 102.20  
Weighted-average exercise price, exercised share options 32.76 29.79  
Weighted-average exercise price, expired and forfeited share options 72.65 $ 58.00  
Weighted-average exercise price, vested and unvested expected to vest share options 61.60    
Weighted-average exercise price, exercisable share options $ 45.55    
Weighted-average remaining contractual term, outstanding share options 7 years 4 months    
Weighted-average remaining contractual term, vested and unvested expected to vest share options 7 years 6 months    
Weighted-average remaining contractual term, exercisable share options 5 years 4 months    
Aggregate intrinsic value, outstanding share options $ 49.6    
Aggregate intrinsic value, vested and unvested expected to vest share options 42.6    
Aggregate intrinsic value, exercisable share options $ 38.2