Business Acquisitions, Goodwill and Intangible Assets (Details Textual) In Millions, unless otherwise specified	12 Months Ended								12 Months Ended
	Jan. 01, 2012 USD ($) Y	Jan. 02, 2011 USD ($)	Jan. 03, 2010 USD ($)	Jan. 03, 2010 Ocean Design Incorporation [Member] USD ($)	Dec. 31, 2010 DALSA Corporation ("DALSA") [Member] CAD	Feb. 12, 2011 DALSA Corporation ("DALSA") [Member] USD ($)	Jan. 01, 2012 Nova Sensors [Member] USD ($)	Jan. 01, 2012 Optech [Member] USD ($)	Jan. 01, 2012 Energy Systems [Member] USD ($)	Jan. 02, 2011 Intelek [Member] USD ($)	Jan. 02, 2011 Optimum Optical [Member] USD ($)	Jan. 02, 2011 Gavia [Member] USD ($)
Business Acquisitions, Goodwill and Intangible Assets (Textual) [Abstract]
Business acquisition purchase price						$ 339.5	$ 5.1			$ 43.5	$ 5.7	$ 10.8
Annual revenues of acquired company					212.3
Consideration paid for minority interest acquired	420.7	100.8	1.4					18.9
Percentage of minority interest				14.10%
Amount of minority interest				25.5
Purchase of noncontrolling interest	(4.2)								3.2
Business Acquisitions, Goodwill and Intangible Assets (Textual) [Abstract]
Purchase of businesses and other investments, net of cash acquired	366.7	67.9	27.1
Purchase of the assets of a marine sensor product line	420.7	100.8	1.4					18.9
Goodwill, net	717.8	546.3	501.5
Acquired intangibles, net	181.4	113.9
Amortizable other intangible assets, useful lives, Minimum	1
Amortizable other intangible assets, useful lives, Maximum	20
Amortization expenses	24.6	14.1
Future amortization expenses, 2012	23.4
Future amortization expenses, 2013	19.7
Future amortization expenses, 2014	19.6
Future amortization expenses, 2015	18.1
Future amortization expenses, 2016	$ 15.4