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Income Taxes (Schedule of Unrecognized Tax Benefit Activity) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 25, 2015
Sep. 26, 2014
Sep. 27, 2013
Reconciliation of Unrecognized Tax Benefits [Roll Forward]      
Balance at beginning of fiscal year $ 82.0 $ 100.1 $ 165.5
Unrecognized tax benefits retained by Covidien 0.0 0.0 (153.7)
Unrecognized tax benefits transferred from Covidien 0.0 0.0 84.2
Additions related to current year tax positions 4.5 3.2 3.5
Additions related to prior period tax positions 19.9 30.6 6.6
Reductions related to prior period tax positions (7.7) (33.0) (4.3)
Settlements (7.8) (6.9) (1.6)
Lapse of statute of limitations (1.7) (12.0) (0.1)
Balance at end of fiscal year $ 89.2 $ 82.0 $ 100.1