Income Taxes (Narrative) (Details) - USD ($) $ in Millions			12 Months Ended
	Jan. 01, 2022	Jan. 01, 2021	Dec. 31, 2021	Jan. 01, 2021	Jan. 03, 2020	Dec. 28, 2018
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate			21.00%	21.00%	21.00%
Foreign earnings repatriated			$ 290.1
Unrecognized tax benefits		$ 64.1	64.2	$ 64.1	$ 71.6	$ 69.1
Unrecognized tax benefits that would impact effective tax rate		47.8	42.3	47.8
Payment of interest and penalties		$ 9.6	9.2	9.6
NETHERLANDS
Operating Loss Carryforwards [Line Items]
Foreign change in tax rate, income tax expense (benefit)			$ 14.4	$ (64.0)
Statutory federal income tax rate		25.00%	25.00%	21.70%
NETHERLANDS | Subsequent Event
Operating Loss Carryforwards [Line Items]
Statutory federal income tax rate	25.80%
IRS
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards			$ 12.9
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards			90.2
Research Tax Credit Carryforward | California Franchise Tax Board
Operating Loss Carryforwards [Line Items]
Tax credit carryforward			$ 33.0