Goodwill And Intangible Assets (Schedule of Changes To Goodwill) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Sep. 27, 2014	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Goodwill [Roll Forward]
Goodwill, beginning balance			$ 1,081.9	$ 1,004.0	$ 1,081.9
Acquisitions and valuation adjustments				559.4	54.5
Goodwill Impairment	$ 79.9	$ 118.5	1.0	79.9	119.5	$ 76.3
Translation adjustments				(17.9)	(12.9)
Goodwill, ending balance	1,465.6	1,004.0		1,465.6	1,004.0	1,081.9
Cumulative goodwill impairment charges	275.7			275.7
Commercial and Industrial Systems
Goodwill [Roll Forward]
Goodwill, beginning balance			703.2	645.4	703.2
Acquisitions and valuation adjustments				(5.2)	54.5
Goodwill Impairment				79.9	100.7
Translation adjustments				(12.6)	(11.6)
Goodwill, ending balance	547.7	645.4		547.7	645.4	703.2
Cumulative goodwill impairment charges	244.8			244.8
Climate Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance			353.6	344.6	353.6
Acquisitions and valuation adjustments				0.0	0.0
Goodwill Impairment				0.0	7.7
Translation adjustments				(1.8)	(1.3)
Goodwill, ending balance	342.8	344.6		342.8	344.6	353.6
Cumulative goodwill impairment charges	7.7			7.7
Power Transmission Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance			$ 25.1	14.0	25.1
Acquisitions and valuation adjustments				564.6		0.0
Goodwill Impairment				0.0		11.1
Translation adjustments				(3.5)	0.0
Goodwill, ending balance	575.1	$ 14.0		575.1	$ 14.0	$ 25.1
Cumulative goodwill impairment charges	$ 23.2			$ 23.2