Income Taxes (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Apr. 03, 2015	Dec. 28, 2018	Dec. 29, 2017	Dec. 30, 2016	Jan. 01, 2016	Jan. 31, 2018	Jan. 02, 2015
Operating Loss Carryforwards [Line Items]
Income Tax Expense (Benefit)			$ 137.9	$ 44.5	$ 31.1
Unrecognized Tax Benefits			82.4	72.9	$ 59.0		$ 51.4
Unrecognized Tax Benefits that Would Impact Effective Tax Rate			68.5	60.5
Decrease in Unrecognized Tax Benefits is Reasonably Possible			6.2
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued			$ 12.7	$ 9.3
Statutory federal income tax rate			35.00%	35.00%	35.00%
Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards			$ 31.3
Operating Loss Carryforwards, Expiration Date			Jan. 01, 2021
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards			$ 100.2
Tax Cuts and Jobs Act [Member]
Operating Loss Carryforwards [Line Items]
One-time mandatory transition tax on accumulated foreign earnings provisional amount			126.0
Income Tax Expense (Benefit)			(46.7)
Remeasurement charge of Deferred Tax Asset and Liability			3.3
Tax Cuts and Jobs Act [Member] | State Tax and Foreign Withholding [Member]
Operating Loss Carryforwards [Line Items]
Provisional Amount of State Tax and Foreign Withholding Taxes			2.4
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount			$ 0.4
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			$ 24.2
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
Subsequent Event [Member] | Tax Cuts and Jobs Act [Member]
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate		21.00%
Subsequent Event [Member] | Tax Year 2010 and 2011 [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Proposal to Settle Certain Assessments						$ 15.8