Other Intangible Assets and Goodwill Other Intangible Assets and Goodwill (Changes in Carrying Amount of Goodwill By Reportable Operating Segment) (Details) - USD ($) $ in Millions	6 Months Ended
	Apr. 01, 2018	Apr. 02, 2017
Goodwill [Line Items]
Goodwill, beginning balance	$ 1,539.2
Acquisition/(divestiture)	2,156.6
Impairment	(28.5)	$ 0.0
Other	126.2
Goodwill, ending balance	3,793.5
Americas Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	213.1
Acquisition/(divestiture)	0.0
Impairment	0.0
Other	(0.9)
Goodwill, ending balance	212.2
China / Asia Pacific Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	850.2
Acquisition/(divestiture)	2,158.1
Impairment	0.0
Other	125.9
Goodwill, ending balance	3,134.2
EMEA Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	37.2
Acquisition/(divestiture)	0.0
Impairment	28.5
Other	0.9
Goodwill, ending balance	9.6
Channel Development [Member]
Goodwill [Line Items]
Goodwill, beginning balance	23.8
Acquisition/(divestiture)	(1.5)
Impairment	0.0
Other	0.0
Goodwill, ending balance	22.3
All Other Segments [Member]
Goodwill [Line Items]
Goodwill, beginning balance	414.9
Acquisition/(divestiture)	0.0
Impairment	0.0
Other	0.3
Goodwill, ending balance	$ 415.2