Income Taxes (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Jan. 01, 2021	Jan. 03, 2020	Jan. 01, 2021	Jan. 03, 2020	Dec. 28, 2018	Dec. 29, 2017
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate			21.00%	21.00%	21.00%
Foreign Change in Tax Rate, Income Tax Expense (Benefit)	$ (64.0)
Intellectual Property And Restructuring, Income Tax Expense (Benefit)		$ (206.3)
Increased statutory tax rate			21.00%	21.00%	21.00%
Foreign earnings repatriated			$ 272.7
Unrecognized tax benefits	64.1	71.6	64.1	$ 71.6	$ 69.1	$ 82.4
Unrecognized tax benefits that would impact effective tax rate	47.8	59.5	47.8	59.5
Payment of interest and penalties	9.6	$ 11.5	$ 9.6	$ 11.5
Minimum
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate			21.70%
Increased statutory tax rate			21.70%
Maximum
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate			25.00%
Increased statutory tax rate			25.00%
IRS
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards	16.7		$ 16.7
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards	83.4		83.4
Research Tax Credit Carryforward | IRS
Operating Loss Carryforwards [Line Items]
Tax credit carryforward	11.8		11.8
Research Tax Credit Carryforward | California Franchise Tax Board
Operating Loss Carryforwards [Line Items]
Tax credit carryforward	$ 33.1		$ 33.1