Income Taxes (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018	Dec. 31, 2017
Income Tax Contingency [Line Items]
Income Tax Holiday, Aggregate Dollar Amount	$ (21,800)	$ (10,400)	$ (10,300)
Impact of benefits derived from tax holidays on earnings per share, basic	$ 0.20	$ (0.09)	$ (0.09)
Impact of benefits derived from tax holidays on earnings per share, diluted	$ (0.19)	$ (0.09)	$ (0.09)
Valuation Allowance, Amount	$ 99,740	$ 88,449
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized tax benefits, beginning of period	35,547	33,009	$ 30,308
Gross increases - tax positions in prior period	4,974	4,433	6,931
Gross decreases - tax positions in prior period	(2,471)	(2,183)	(1,622)
Gross increases - current-period tax positions	309	152	0
Settlements	0	(45)	(2,253)
Lapse of statute of limitations	0	0	(181)
Foreign currency translation adjustments	414	181	(174)
Unrecognized tax benefits, end of period	38,773	35,547	33,009	$ 30,308
Income Tax Penalties and Interest Accrued	5,800	4,100
Income Tax Penalties and Interest Expense	4,700	1,600	400
Unrecognized Tax Benefits, Ending Balance	38,800
Uncertain tax benefits if recognized that could affect the continuing operations effective tax rate	37,100
Unrecognized Tax Benefits Expected To Be Resolved With In A Year	200
Income Tax Expense (Benefits) on Undistributed Foreign Earnings		1,600
Foreign earnings invested outside U.S.	$ 1,500,000
Open Tax Years by Major Tax Jurisdiction, Begin Date	2010
Tax Adjustments, Settlements, and Unusual Provisions	$ 10,800	(23,400)	(8,100)
2017 Tax Cuts and Jobs Act [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Cuts and Jobs Act, Transition Tax for Accumulated Foreign Earnings, Income Tax Expense		2,700	(4,600)	$ 85,000
Tax Adjustments, Settlements, and Unusual Provisions		2,700
Discrete Income Tax Expense (Benefit), Tax Reform Trueup			(2,000)
Other Tax Matters [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	1,600	1,400	1,100
Excess tax benefits on stock compensation [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	(11,700)	(4,900)	$ (7,200)
Valuation allowance adjustments [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	(2,500)	(12,300)
Foreign tax rate changes
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	2,500
Interest on uncertain tax positions
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	4,500
Tax elections adjustments [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions		(3,700)
True-up of Return-to-Provision [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	1,200	$ (6,700)
Foreign fiscal unity adjustments
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Adjustments, Settlements, and Unusual Provisions	15,200
General Business [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Credit Carryforward, Amount	300
State and Local Jurisdiction [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	11,500
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Credit Carryforward, Amount	15,300
Foreign Tax Authority [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	495,300
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Tax Credit Carryforward, Amount	100
Internal Revenue Service (IRS) [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	$ 36,600
Singapore [Member]
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Income Tax Holiday, Termination Date	2023