Employee Benefit Plans - Assets at Fair Value (Details) - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
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	$ 285,600	$ 303,531	$ 266,450
Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	57,338	70,904
Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	107,136	95,004
Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 121,126	$ 137,623	$ 115,252
Foreign Plan | Equity securities
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	0.00%	3.00%
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)	3.00%
Foreign Plan | Equity securities | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 0	$ 9,113
Foreign Plan | Equity securities | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	0	0
Foreign Plan | Equity securities | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 0	$ 0
Foreign Plan | Debt and debt securities
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	63.00%	60.00%
Foreign Plan | Debt and debt securities | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	50.00%
Foreign Plan | Debt and debt securities | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	60.00%
Foreign Plan | Debt and debt securities | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 45,516	$ 60,699
Foreign Plan | Debt and debt securities | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	107,136	95,004
Foreign Plan | Debt and debt securities | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 27,176	$ 25,927
Foreign Plan | Short-term investments
Employee Benefit Plan Disclosure [Line Items]
Plan assets at year end (percentage)	4.00%	0.00%
Foreign Plan | Short-term investments | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	1.00%
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	$ 11,822	$ 1,092
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%	37.00%
Foreign Plan | Other investments | Minimum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	35.00%
Foreign Plan | Other investments | Maximum
Employee Benefit Plan Disclosure [Line Items]
Target allocation (percentage)	40.00%
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	93,950	111,696
Pension Plan | Foreign Plan
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	285,600	303,531
Pension Plan | Foreign Plan | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	57,338	70,904
Pension Plan | Foreign Plan | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	107,136	95,004
Pension Plan | Foreign Plan | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	121,126	137,623
Pension Plan | Netherlands
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	92,629	109,540
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	92,629	109,540
Pension Plan | United Kingdom
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	192,971	193,991
Pension Plan | United Kingdom | Level 1
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	57,338	70,904
Pension Plan | United Kingdom | Level 2
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	107,136	95,004
Pension Plan | United Kingdom | Level 3
Employee Benefit Plan Disclosure [Line Items]
Plan assets, fair value	$ 28,497	$ 28,083