Business Acquisitions, Goodwill and Acquired Intangible Assets (Purchase Price) (Details) - USD ($) $ in Millions								12 Months Ended
	Jun. 05, 2015	Apr. 29, 2015	Feb. 02, 2015	Nov. 18, 2014	Oct. 22, 2014	Aug. 17, 2014	Mar. 30, 2014	Jan. 03, 2016	Dec. 28, 2014	Dec. 29, 2013
Business Acquisition [Line Items]
Cash Paid									$ 24.8	$ 58.5
Goodwill								$ 1,140.2	1,150.6	$ 1,037.8
Bowtech
Business Acquisition [Line Items]
Acquisition date								Feb. 02, 2015
Cash Paid			$ 18.9
Goodwill			7.0
Acquired Intangible Assets			$ 4.3
ICM
Business Acquisition [Line Items]
Acquisition date								Jun. 05, 2015
Cash Paid	$ 21.8
Goodwill	19.2
Acquired Intangible Assets	$ 5.8
Purchase of remaining interest of Optech
Business Acquisition [Line Items]
Acquisition date								Apr. 29, 2015
Cash Paid		$ 22.0
Goodwill		0.0
Acquired Intangible Assets		$ 0.0
Other investments
Business Acquisition [Line Items]
Cash Paid								$ 4.0	2.0
Goodwill								1.4	0.0
Acquired Intangible Assets								0.9	$ 0.0
Acquisitions in 2015
Business Acquisition [Line Items]
Cash Paid								66.7
Goodwill								27.6
Acquired Intangible Assets								$ 11.0
Photon
Business Acquisition [Line Items]
Acquisition date									Mar. 30, 2014
Cash Paid							$ 2.9
Goodwill							1.4
Acquired Intangible Assets							$ 1.5
Atlas
Business Acquisition [Line Items]
Acquisition date									Aug. 07, 2014
Cash Paid						$ 5.2
Goodwill						3.6
Acquired Intangible Assets						$ 0.8
Bolt
Business Acquisition [Line Items]
Acquisition date									Nov. 18, 2014
Cash Paid				$ 171.0
Goodwill				128.8
Acquired Intangible Assets				$ 41.5
Oceanscience
Business Acquisition [Line Items]
Acquisition date									Oct. 22, 2014
Cash Paid					$ 14.7
Goodwill					9.0
Acquired Intangible Assets					$ 4.4
Acquisitions in 2014
Business Acquisition [Line Items]
Cash Paid									$ 195.8
Goodwill									142.8
Acquired Intangible Assets									$ 48.2