Income Taxes (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Dec. 30, 2016	Apr. 03, 2015	Dec. 30, 2016	Jan. 01, 2016	Jan. 02, 2015	Jan. 03, 2014
Operating Loss Carryforwards [Line Items]
Deferred Tax Liabilities, Undistributed Foreign Earnings	$ 869.7		$ 869.7
Deferred Tax Liability Not Recognized, Amount of Unrecognized Deferred Tax Liability, Undistributed Earnings of Foreign Subsidiaries	258.5		258.5
Unrecognized Tax Benefits	72.9		72.9	$ 59.0	$ 51.4	$ 44.1
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	60.5		60.5	52.7
Decrease in Unrecognized Tax Benefits is Reasonably Possible	6.2		6.2
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued	9.3		9.3	$ 6.7
Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	13.6		$ 13.6
Operating Loss Carryforwards, Expiration Date			Jan. 01, 2021
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	147.6		$ 147.6
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	0.3		$ 0.3
Tax Credit Carryforward, Expiration Date			Jan. 01, 2030
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	17.1		$ 17.1
Tax Year 2010 and 2011 [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Notice of Proposed Adjustments - Tax and Penalties	67.0	$ 67.0
Proposal to Settle Certain Assessments	$ 15.8		$ 15.8