Acquisitions and License Agreements (Schedule of Financial Results and Acquisition Costs of Acquirees) (Details) - USD ($) $ in Millions	3 Months Ended									12 Months Ended
	Dec. 29, 2017	Sep. 29, 2017	Jun. 30, 2017	Mar. 31, 2017	Dec. 30, 2016	Sep. 30, 2016	Jun. 24, 2016	Mar. 25, 2016	Dec. 25, 2015	Dec. 29, 2017	Sep. 30, 2016	Sep. 25, 2015
Operating Income [Abstract]
Operating income					$ (206.8)				$ (162.1)	$ 420.1	$ 617.3	$ 353.8
Net Sales [Abstract]
Net sales	$ 792.3	$ 793.9	$ 824.5	$ 810.9	829.9	$ 887.2	$ 866.6	$ 815.8	$ 811.2	3,221.6	3,380.8	2,923.1
Ocera [Member]
Operating Income [Abstract]
Operating income					0.0					(0.4)	0.0	0.0
Net Sales [Abstract]
Net sales					0.0					0.0	0.0	0.0
Acquisition Related Costs					0.0					0.9	0.0	0.0
NeuroproteXeon [Member]
Net Sales [Abstract]
Acquisition Related Costs					0.0					0.1	0.0	0.0
InfaCare [Member]
Operating Income [Abstract]
Operating income					0.0					(5.4)	0.0	0.0
Net Sales [Abstract]
Net sales					0.0					0.0	0.0	0.0
Acquisition Related Costs					0.0					1.2	0.0	0.0
Stratatech [Member]
Net Sales [Abstract]
Acquisition Related Costs					0.0					0.0	3.7	0.0
Ikaria
Operating Income [Abstract]
Operating income					51.0					202.8	201.1	47.1
Net Sales [Abstract]
Net sales					121.4					515.1	491.5	191.9
Acquisition Related Costs					0.0					0.0	0.2	30.9
Therakos
Operating Income [Abstract]
Operating income					9.2					27.0	12.5	0.0
Net Sales [Abstract]
Net sales					47.4					214.9	207.6	0.0
Acquisition Related Costs					0.0					0.0	0.3	22.5
Hemostasis Products
Net Sales [Abstract]
Acquisition Related Costs					0.1					0.0	2.7	0.0
Total Acquisitions
Operating Income [Abstract]
Operating income					60.2					224.0	213.6	47.1
Net Sales [Abstract]
Net sales					168.8					730.0	699.1	191.9
Acquisition Related Costs					$ 0.1					$ 2.2	$ 6.9	$ 53.4