Income Taxes (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Tax Contingency [Line Items]
Income Tax Holiday, Aggregate Dollar Amount	$ (1,100)	$ (18,200)	$ (12,700)
Effective Tax Rate, Income Tax on Repatriation of Foreign Earnings	$ 15,800	$ 37,100
Impact of benefits derived from tax holidays on earnings per share, basic	$ 0.01	$ (0.16)	$ (0.11)
Impact of benefits derived from tax holidays on earnings per share, diluted	$ (0.01)	$ (0.16)	$ (0.11)
Valuation Allowance, Amount	$ 96,681	$ 89,523
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized tax benefits, beginning of period	61,658	38,773	$ 35,547
Gross increases - tax positions in prior period	1,489	2,877	4,974
Gross decreases - tax positions in prior period	(2,519)	0	(2,471)
Gross increases - current-period tax positions	7,187	149	151
Unrecognized Tax Benefits, Increase Resulting from Acquisition	0	22,697	158
Settlements	0	(2,252)	0
Lapse of statute of limitations	(8,625)	(563)	0
Foreign currency translation adjustments	(1,242)	(23)	414
Unrecognized tax benefits, end of period		61,658	38,773
Income Tax Penalties and Interest Accrued	7,200	7,600
Income Tax Penalties and Interest Expense	(500)	1,800	1,800
Unrecognized Tax Benefits, Ending Balance	57,948	61,658	38,773
Unrecognized Tax Benefits Expected To Be Resolved With In A Year	17,800
Undistributed Earnings of Foreign Subsidiaries Not Meeting Requirements to be Reinvested	879,000
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	(4,940)	$ 37,147	$ 0
General Business [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Credit Carryforward, Amount	100
State and Local Jurisdiction [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	4,900
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Credit Carryforward, Amount	13,800
Foreign Tax Authority [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	458,000
Internal Revenue Service (IRS) [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	$ 67,500