Business Acquisitions, Goodwill and Acquired Intangible Assets (Assets Acquired and Liabilities Assumed) (Details) - USD ($) $ in Millions	Jan. 03, 2016	Dec. 28, 2014	Dec. 29, 2013
Business Acquisition [Line Items]
Goodwill	$ 1,140.2	$ 1,150.6	$ 1,037.8
Acquisitions in 2015
Business Acquisition [Line Items]
Current assets, excluding cash acquired	8.5
Property, plant and equipment	9.8
Goodwill	27.6
Other acquired intangible assets	11.0
Other long-term assets	1.9
Total assets acquired	58.8
Current liabilities	(5.1)
Long-term liabilities	(9.0)
Total liabilities assumed	(14.1)
Noncontrolling interests	22.0
Cash paid, net of cash acquired	$ 66.7
Acquisitions in 2014
Business Acquisition [Line Items]
Current assets, excluding cash acquired		34.0
Property, plant and equipment		8.7
Goodwill		142.8
Other acquired intangible assets		48.2
Other long-term assets		5.3
Total assets acquired		239.0
Current liabilities		(26.0)
Long-term liabilities		(17.2)
Total liabilities assumed		(43.2)
Noncontrolling interests		0.0
Cash paid, net of cash acquired		$ 195.8