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Share Plans (Schedule of Share Option Award Status Upon Completion of the Conversion) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
0 Months Ended 12 Months Ended
Jun. 28, 2013
Sep. 26, 2014
Sep. 27, 2013
Jun. 27, 2013
Conversion of Covidien Equity Awards        
Share options outstanding 2,399,822us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 3,526,789us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 2,760,231us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 1,745,258us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
Weighted-average exercise price, outstanding share options $ 35.94us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 36.84us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 37.30us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice  
Weighted-average remaining contractual term, outstanding share options 8 years 0 months 0 days 6 years 4 months 24 days    
Aggregate intrinsic value, outstanding share options $ 22.9us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue $ 187.5us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue    
Share options exerciseable 550,097us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber 832,680us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber    
Weighted-average exercise price, exercisable share options $ 30.94us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice $ 31.32us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice    
Weighted-average remaining contractual term, exercisable share options 5 years 11 months 0 days 4 years 8 months 12 days    
Aggregate intrinsic value, exercisable share options $ 8.0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1 $ 48.8us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1