Employee Benefit Plans - Funded Status of Defined Benefit Plans (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Amounts recognized in accumulated other comprehensive loss, after tax:
Total amount recognized	$ 27,548	$ 53,888
Foreign Plan
Change in benefit obligation:
Benefit obligation, beginning of year	324,408	364,443
Service cost	840	1,087	$ 1,070
Interest cost	3,793	2,687	4,038
Benefits and expenses paid	(9,890)	(11,339)
Actuarial gain	(96,556)	(19,723)
Currency translation adjustment	(27,155)	(12,747)
Benefit obligation, end of year	195,440	324,408	364,443
Change in plan assets:
Plan assets, beginning of year	285,600	303,531
Actual return on assets	(66,759)	(2,817)
Company contributions	4,001	5,393
Benefits paid	(9,890)	(11,339)
Currency translation adjustment	(25,467)	(9,168)
Plan assets, end of year	187,485	285,600	303,531
Amounts recognized in the consolidated balance sheets
Other assets	26,586	10,975
Current liabilities	(1,032)	(1,049)
Non-current liabilities	(33,509)	(48,734)
Funded status	(7,955)	(38,808)
Amounts recognized in accumulated other comprehensive loss, after tax:
Unrecognized actuarial loss	23,737	45,209
Unamortized prior service credits	0	0
Total amount recognized	23,737	45,209
Accumulated benefit obligation	195,440	324,408
Projected benefit obligation	195,440	324,408	364,443
Plan assets	26,586	10,975
UK Plan
Change in benefit obligation:
Benefit obligation, beginning of year	181,997
Benefit obligation, end of year	98,730	181,997
Amounts recognized in the consolidated balance sheets
Other assets	125,315	192,971
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	98,730	181,997
Projected benefit obligation	98,730	181,997
Plan assets	125,315	192,971
Dutch Plan
Change in benefit obligation:
Benefit obligation, beginning of year	97,108
Benefit obligation, end of year	67,689	97,108
Amounts recognized in the consolidated balance sheets
Other assets	62,170	92,629
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	67,689	97,108
Projected benefit obligation	67,689	97,108
Plan assets	62,170	92,629
nora Plan
Change in benefit obligation:
Benefit obligation, beginning of year	45,303
Benefit obligation, end of year	29,021	45,303
Amounts recognized in the consolidated balance sheets
Other assets	0	0
Amounts recognized in accumulated other comprehensive loss, after tax:
Accumulated benefit obligation	29,021	45,303
Projected benefit obligation	29,021	45,303
Plan assets	0	0
United States
Change in benefit obligation:
Benefit obligation, beginning of year	30,053	33,834
Interest cost	771	706	938
Benefits and expenses paid	(1,873)	(1,965)
Actuarial gain	(6,220)	(2,522)
Benefit obligation, end of year	22,731	30,053	33,834
Change in plan assets:
Company contributions	1,900
Amounts recognized in the consolidated balance sheets
Current liabilities	(1,873)	(1,873)
Non-current liabilities	(20,858)	(28,180)
Amounts recognized in accumulated other comprehensive loss, after tax:
Unrecognized actuarial loss	3,811	8,679
Accumulated benefit obligation	22,700	30,100
Projected benefit obligation	$ 22,731	$ 30,053	$ 33,834