Employee Benefit Plans - Assets at Fair Value (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Foreign Plan
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	100.00%
Plan assets at year end (percentage)	100.00%	100.00%
Plan assets, fair value	$ 199,348	$ 187,485	$ 285,600
Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	16,232	44,335
Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	92,200	53,286
Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 90,916	$ 89,864	$ 121,126
Foreign Plan | Equity Securities
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	0.00%	0.00%
Foreign Plan | Equity Securities | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	0.00%
Foreign Plan | Equity Securities | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	0.00%
Foreign Plan | Debt and Debt Securities
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	59.00%	53.00%
Foreign Plan | Debt and Debt Securities | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	65.00%
Foreign Plan | Debt and Debt Securities | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	70.00%
Foreign Plan | Debt and Debt Securities | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 0	$ 19,614
Foreign Plan | Debt and Debt Securities | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	92,200	53,286
Foreign Plan | Debt and Debt Securities | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 24,325	$ 26,778
Foreign Plan | Short-Term Investments
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	8.00%	13.00%
Foreign Plan | Short-Term Investments | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	0.00%
Foreign Plan | Short-Term Investments | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	2.00%
Foreign Plan | Short-Term Investments | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 16,232	$ 24,721
Foreign Plan | Short-Term Investments | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	0	0
Foreign Plan | Short-Term Investments | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 0	$ 0
Foreign Plan | Other Investments
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	33.00%	34.00%
Foreign Plan | Other Investments | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	30.00%
Foreign Plan | Other Investments | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	35.00%
Foreign Plan | Other Investments | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 0	$ 0
Foreign Plan | Other Investments | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	0	0
Foreign Plan | Other Investments | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	66,591	63,086
Pension Plan | Foreign Plan
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	199,348	187,485
Pension Plan | Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	16,232	44,335
Pension Plan | Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	92,200	53,286
Pension Plan | Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	90,916	89,864
Pension Plan | Netherlands
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	65,690	62,170
Pension Plan | Netherlands | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	0	0
Pension Plan | Netherlands | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	0	0
Pension Plan | Netherlands | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	65,690	62,170
Pension Plan | United Kingdom
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	133,658	125,315
Pension Plan | United Kingdom | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	16,232	44,335
Pension Plan | United Kingdom | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	92,200	53,286
Pension Plan | United Kingdom | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 25,226	$ 27,694