Employee Benefit Plans - Funded Status of Defined Benefit Plans (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Amounts recognized in accumulated other comprehensive loss, after tax:
Total amount recognized	$ 53,888	$ 69,288
Foreign Plan
Change in benefit obligation:
Benefit obligation, beginning of year	364,443	314,841
Service cost	1,087	1,070	$ 1,589
Interest cost	2,687	4,038	5,676
Benefits and expenses paid	(11,339)	(12,041)
Actuarial loss (gain)	(19,723)	31,618
Currency translation adjustment	(12,747)	24,917
Benefit obligation, end of year	324,408	364,443	314,841
Change in plan assets:
Plan assets, beginning of year	303,531	266,450
Actual return on assets	(2,817)	25,239
Company contributions	5,393	4,451
Benefits paid	(11,339)	(12,041)
Currency translation adjustment	(9,168)	19,432
Plan assets, end of year	285,600	303,531	266,450
Amounts recognized in the consolidated balance sheets
Other assets	10,975	0
Current liabilities	(1,049)	(1,089)
Non-current liabilities	(48,734)	(59,823)
Funded status	(38,808)	(60,912)
Amounts recognized in accumulated other comprehensive loss, after tax:
Unrecognized actuarial loss	45,209	58,257
Unamortized prior service credits	0	0
Total amount recognized	45,209	58,257
Accumulated benefit obligation	324,408	364,443
Projected benefit obligation	324,408	364,443	314,841
Plan assets	10,975	0
UK Plan
Change in benefit obligation:
Benefit obligation, beginning of year	198,215
Benefit obligation, end of year	181,997	198,215
Amounts recognized in the consolidated balance sheets
Other assets	192,971	193,991
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	181,997	198,215
Projected benefit obligation	181,997	198,215
Plan assets	192,971	193,991
Dutch Plan
Change in benefit obligation:
Benefit obligation, beginning of year	116,379
Benefit obligation, end of year	97,108	116,379
Amounts recognized in the consolidated balance sheets
Other assets	92,629	109,540
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	97,108	116,379
Projected benefit obligation	97,108	116,379
Plan assets	92,629	109,540
Nora Plan
Change in benefit obligation:
Benefit obligation, beginning of year	49,849
Benefit obligation, end of year	45,303	49,849
Amounts recognized in the consolidated balance sheets
Other assets	0	0
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	45,303	49,849
Projected benefit obligation	45,303	49,849
Plan assets	0	0
United States
Change in benefit obligation:
Benefit obligation, beginning of year	33,834	31,740
Interest cost	706	938	1,154
Benefits and expenses paid	(1,965)	(2,030)
Actuarial loss (gain)	(2,522)	3,186
Benefit obligation, end of year	30,053	33,834	31,740
Change in plan assets:
Company contributions	2,000
Amounts recognized in the consolidated balance sheets
Current liabilities	(1,873)	(2,030)
Non-current liabilities	(28,180)	(31,804)
Amounts recognized in accumulated other comprehensive loss, after tax:
Unrecognized actuarial loss	8,679	11,031
Accumulated benefit obligation	30,100	33,800
Projected benefit obligation	$ 30,053	$ 33,834	$ 31,740