Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Income Tax Contingency [Line Items]
Valuation Allowance, Amount	$ 84,626	$ 96,681
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized tax benefits, beginning of period	57,948	61,658	$ 38,773
Gross increases - tax positions in prior period	64,697	1,489	2,877
Gross decreases - tax positions in prior period	0	(2,519)	0
Gross increases - current-period tax positions	14,969	7,187	149
Unrecognized Tax Benefits, Increase Resulting from Acquisition	0	0	22,697
Settlements	0	0	(2,252)
Lapse of statute of limitations	(10,830)	(8,625)	(563)
Foreign currency translation adjustments	2,272	(1,242)	(23)
Unrecognized tax benefits, end of period		57,948	61,658
Income Tax Penalties and Interest Accrued	6,300	7,200
Income Tax Penalties and Interest Expense	(1,100)	(500)	1,800
Unrecognized Tax Benefits, Ending Balance	129,056	57,948	61,658
Unrecognized Tax Benefits Expected To Be Resolved With In A Year	71,600
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	(4,737)	$ (4,940)	$ 37,147
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	8,900
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	439,800
Internal Revenue Service (IRS) [Member]
Income Tax Contingency [Line Items]
Operating Loss Carryforwards	$ 109,800