Income Taxes - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 28, 2024	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Income Taxes [Line Items]
Net operating loss carryforwards	$ 118,632	$ 140,981
Net operating loss carryforwards valuation allowance	34,330
Valuation allowance	129,206	106,379
Remaining operating loss carryforwards	47,677
Tax credit carryforward	89,158
Tax credit carryforward, valuation allowance	81,232
Valuation allowance, increase (decrease)	22,827	28,527	$ 24,501
Undistributed foreign earnings	3,500,000	3,400,000
Gross unrecognized tax benefits	15,666	16,785	$ 14,339	$ 18,978
Interest and penalties on unrecognized tax benefits	8,985	$ 9,282
Operating Loss Carryforwards, Not Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	84,302
Operating Loss Carryforwards, Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	36,625
Domestic Tax Jurisdiction
Income Taxes [Line Items]
Tax credit carryforward	7,926
Foreign Tax Jurisdiction
Income Taxes [Line Items]
Tax credit carryforward	81,232
LUXEMBOURG | Operating Loss Carryforwards, Not Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	33,554
LUXEMBOURG | Operating Loss Carryforwards, Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	16,375
BELGIUM | Operating Loss Carryforwards, Not Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	5,982
Other | Operating Loss Carryforwards, Not Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	8,141
Other | Operating Loss Carryforwards, Subject to Expiration
Income Taxes [Line Items]
Net operating loss carryforwards	$ 20,250