Employee Benefit Plans - Assets at Fair Value (Details) - USD ($) $ in Thousands	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
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	$ 187,485	$ 285,600	$ 303,531
Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	44,335	57,338
Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	53,286	107,136
Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 89,864	$ 121,126	$ 137,623
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)	53.00%	63.00%
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	$ 19,614	$ 45,516
Foreign Plan | Debt and Debt Securities | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	53,286	107,136
Foreign Plan | Debt and Debt Securities | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 26,778	$ 27,176
Foreign Plan | Short-Term Investments
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	13.00%	4.00%
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	$ 24,721	$ 11,822
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)	34.00%	33.00%
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	63,086	93,950
Pension Plan | Foreign Plan
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	187,485	285,600
Pension Plan | Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	44,335	57,338
Pension Plan | Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	53,286	107,136
Pension Plan | Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	89,864	121,126
Pension Plan | Netherlands
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	62,170	92,629
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	62,170	92,629
Pension Plan | United Kingdom
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	125,315	192,971
Pension Plan | United Kingdom | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	44,335	57,338
Pension Plan | United Kingdom | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	53,286	107,136
Pension Plan | United Kingdom | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 27,694	$ 28,497