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Share Plans (Schedule of Share Option Award Status Upon Completion of the Conversion) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jun. 28, 2013
Sep. 25, 2015
Sep. 26, 2014
Jun. 27, 2014
Sep. 27, 2013
Jun. 27, 2013
Conversion of Covidien Equity Awards            
Share options outstanding   2,786,443 3,526,789 2,399,822 2,760,231 1,745,258
Weighted-average exercise price, outstanding share options   $ 52.76 $ 36.84 $ 35.94 $ 37.30  
Weighted-average remaining contractual term, outstanding share options 8 years 7 years 4 months        
Aggregate intrinsic value, outstanding share options   $ 63.2   $ 22.9    
Share options exerciseable   1,054,336   550,097    
Weighted-average exercise price, exercisable share options   $ 34.20   $ 30.94    
Weighted-average remaining contractual term, exercisable share options 5 years 11 months 5 years 9 months        
Aggregate intrinsic value, exercisable share options   $ 36.2   $ 8.0