Income Taxes (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2022	Dec. 31, 2021	Jan. 01, 2021	Jan. 03, 2020
Operating Loss Carryforwards [Line Items]
Effective tax rate	21.00%	14.20%	1.10%
Statutory federal income tax rate	21.00%	21.00%	21.00%
Foreign earnings repatriated	$ 350.3
Unrecognized tax benefits	76.5	$ 64.2	$ 64.1	$ 71.6
Unrecognized tax benefits that would impact effective tax rate	51.6	42.3
Payment of interest and penalties	8.4	9.2
NETHERLANDS
Operating Loss Carryforwards [Line Items]
Foreign change in tax rate, income tax expense (benefit)		$ 14.4
IRS
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards	9.8
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Net operating loss carryforwards	82.4
Research Tax Credit Carryforward | California Franchise Tax Board
Operating Loss Carryforwards [Line Items]
Tax credit carryforward	$ 33.6