Business Acquisitions, Goodwill and Acquired Intangible Assets (Narrative) (Details) $ / shares in Units, € in Millions, $ in Millions							3 Months Ended																12 Months Ended
	Jun. 05, 2015 USD ($)	Apr. 29, 2015 USD ($)	Feb. 02, 2015 USD ($)	Nov. 18, 2014 USD ($) $ / shares	Jun. 30, 2014 USD ($)	Mar. 01, 2013 USD ($)	Jan. 03, 2016 USD ($)		Sep. 27, 2015 USD ($)	[1]	Jun. 28, 2015 USD ($)	[1]	Mar. 29, 2015 USD ($)	[1]	Dec. 28, 2014 USD ($)		Sep. 28, 2014 USD ($)	[2]	Jun. 29, 2014 USD ($)	[2]	Mar. 30, 2014 USD ($)	[2]	Jan. 03, 2016 USD ($)	Dec. 28, 2014 USD ($) business	Dec. 29, 2013 USD ($) business	Dec. 30, 2012 EUR (€)
Business Acquisition [Line Items]
Purchase of businesses and other investments																							$ 66.7	$ 195.8	$ 128.2
Payments to acquire businesses, net of cash acquired																								24.8	58.5
Noncontrolling interest							$ 0.0								$ 41.2								0.0	41.2
Net income (loss) attributable to noncontrolling interest							0.0	[1]	$ 0.0		$ (0.3)		$ 0.0		(1.3)	[2]	$ (0.7)		$ (0.3)		$ 0.2		(0.3)	$ (2.1)	$ (0.5)
Aggregate number of businesses acquired during period | business																								4	4
Number of businesses acquired during period, excluding largest acquisition | business																								3	3
Goodwill, net							1,140.2								1,150.6								1,140.2	$ 1,150.6	$ 1,037.8
Acquired intangibles, net							243.3								277.6								243.3	277.6
Amortization expense																							30.6	32.0	31.5
Future amortization expense, 2016							27.6																27.6
Future amortization expense, 2017							25.9																25.9
Future amortization expense, 2018							22.9																22.9
Future amortization expense, 2019							15.5																15.5
Future amortization expense, 2020							$ 13.7																$ 13.7
Minimum
Business Acquisition [Line Items]
Amortizable other intangible assets, useful lives																							1 year
Maximum
Business Acquisition [Line Items]
Amortizable other intangible assets, useful lives																							15 years
ICM
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired	$ 21.8
Goodwill, net	19.2
Optech
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired		$ 22.0
Goodwill, net		$ 0.0
Bowtech
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired			$ 18.9
Goodwill, net			7.0
Bolt
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired				$ 171.0
Goodwill, net				128.8
RESON
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired						$ 69.7
Sales reported by acquired entity for last annual period | €																										€ 50.8
Subsidiaries | ICM
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired	21.4
Purchase price adjustment																							$ 0.4
Indemnification holdback, amount as of acquisition date	$ 2.6
Subsidiaries | Optech
Business Acquisition [Line Items]
Remaining percentage of voting interests acquired		49.00%
Payments to acquire businesses, gross		$ 22.0
Noncontrolling interest															$ 41.2									41.2	$ 47.0
Net income (loss) attributable to noncontrolling interest																							(0.3)	(2.1)
Foreign currency transaction and translation adjustment																							1.3	$ 3.7
Subsidiaries | Bowtech
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired			$ 18.9
Subsidiaries | Bolt
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired				$ 171.0
Business acquisition, share price | $ / shares				$ 22.00
Sales reported by acquired entity for last annual period					$ 67.5
Goodwill, increase																							$ 3.4
Ocean Aero
Business Acquisition [Line Items]
Equity method investment, ownership percentage							36.90%																36.90%

[1] Fiscal year 2015 was a 371 year, each quarter contained 91 weeks except the fourth quarter which contained 98 weeks.

[2] Fiscal year 2014 was a P364D-week year, each quarter contained P91D weeks.