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Share Plans (Schedule of Incentive Equity Awards Issued Upon Completion of Conversion) (Details) - $ / shares
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
Restricted Share Units          
Conversion of Covidien Equity Awards          
Weighted-average grant date fair value, restricted share units $ 73.45 $ 47.88   $ 40.62  
Covidien          
Conversion of Covidien Equity Awards          
Share options outstanding     2,399,822    
Weighted-average grant-date fair value, share options     $ 7.96    
Covidien | Restricted Share Units          
Conversion of Covidien Equity Awards          
Non-share option equity awards outstanding     575,213    
Weighted-average grant date fair value, restricted share units     $ 38.97