Income Taxes (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Jan. 03, 2020	Jan. 03, 2020	Dec. 28, 2018	Dec. 29, 2017	Mar. 30, 2018	Dec. 30, 2016
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate		21.00%	21.00%	35.00%
Provisional net income tax expense				$ 80.2
One-time deferred income tax benefit to record GILTI deferred taxes			$ 15.1
Tax Cuts and Jobs Act, Change in Tax Rate, Income Tax Expense (Benefit)	$ 206.3
Foreign Earnings Repatriated		$ 239.4
Unrecognized Tax Benefits	71.6	71.6	69.1	$ 82.4		$ 72.9
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	59.5	59.5	60.5
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued	11.5	11.5	$ 11.0
Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	21.5	$ 21.5
Operating Loss Carryforwards, Expiration Date		Jan. 01, 2021
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	81.0	$ 81.0
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	11.1	$ 11.1
Tax Credit Carryforward, Expiration Date		Jan. 01, 2031
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	$ 33.0	$ 33.0
Tax Year 2011 [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Income Tax Examination, Penalties and Interest Accrued					$ 51.2