Other Intangible Assets and Goodwill Other Intangible Assets and Goodwill (Changes in Carrying Amount of Goodwill By Reportable Operating Segment) (Details) $ in Millions	3 Months Ended
	Dec. 30, 2018 USD ($)
Goodwill [Line Items]
Goodwill, beginning balance	$ 3,541.6
Other	18.7
Goodwill, ending balance	3,560.3
Americas Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	497.4
Other	(1.4)
Goodwill, ending balance	496.0
China / Asia Pacific Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	2,986.6
Other	20.2
Goodwill, ending balance	3,006.8
EMEA Segment [Member]
Goodwill [Line Items]
Goodwill, beginning balance	11.3
Other	0.0
Goodwill, ending balance	11.3
Channel Development [Member]
Goodwill [Line Items]
Goodwill, beginning balance	34.7
Other	0.0
Goodwill, ending balance	34.7
Corporate and Other [Member]
Goodwill [Line Items]
Goodwill, beginning balance	11.6
Other	(0.1)
Goodwill, ending balance	$ 11.5