Goodwill And Intangible Assets (Schedule of Gross Intangibles) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015
Finite-lived Intangible Assets [Roll Forward]
Acquisitions	$ 648.2
Translation Adjustments	(14.1)
Indefinite-lived Intangible Assets [Roll Forward]
Total Gross Intangibles	1,078.6	$ 444.5
Non-amortizable Trade Names
Indefinite-lived Intangible Assets [Roll Forward]
Non-amortizable Trade Names, beginning of period	0.0
Non-amortizable Trade Names Acquired	121.9
Non-amortizable Trade Names, Translation Adjustments	(0.6)
Non-amortizable Trade Names, end of period	121.3	$ 0.0
Customer Relationships
Finite-lived Intangible Assets [Roll Forward]
Weighted Average Amortization Period (Years)		15 years
Intangible assets, beginning of period	256.8
Acquisitions	462.8
Translation Adjustments	(10.6)
Intangible assets, end of period	709.0	$ 256.8
Technology
Finite-lived Intangible Assets [Roll Forward]
Weighted Average Amortization Period (Years)		11 years
Intangible assets, beginning of period	129.4
Acquisitions	63.5
Translation Adjustments	(1.8)
Intangible assets, end of period	191.1	$ 129.4
Trademarks
Finite-lived Intangible Assets [Roll Forward]
Weighted Average Amortization Period (Years)		12 years
Intangible assets, beginning of period	33.1
Acquisitions	0.0
Translation Adjustments	(1.0)
Intangible assets, end of period	32.1	$ 33.1
Patent and Engineering Drawings
Finite-lived Intangible Assets [Roll Forward]
Weighted Average Amortization Period (Years)		5 years
Intangible assets, beginning of period	16.6
Acquisitions	0.0
Translation Adjustments	0.0
Intangible assets, end of period	16.6	$ 16.6
Non-compete Agreements
Finite-lived Intangible Assets [Roll Forward]
Weighted Average Amortization Period (Years)		5 years
Intangible assets, beginning of period	8.6
Acquisitions	0.0
Translation Adjustments	(0.1)
Intangible assets, end of period	8.5	$ 8.6
Finite-Lived Intangible Assets [Member]
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	444.5
Acquisitions	526.3
Translation Adjustments	(13.5)
Intangible assets, end of period	$ 957.3	$ 444.5