Employee Retirement Plans Summary of the Plans' Net Periodic Pension Cost, Benefit Obligations, Funded Status, and Net Balance Sheet Position (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Net Periodic Pension Cost:
Curtailment loss	$ 0	$ (14,682)	$ (865)
Change in Benefit Obligation:
Curtailment loss	0
Amounts recognized in balance sheet at year end:
Accrued pension benefits	(219,680)	(469,500)
Non US Plans
Net Periodic Pension Cost:
Service cost	773	2,581
Interest cost	17,340	25,966
Expected return on assets	(78,956)	(72,795)
Amortization of net loss	(12,741)	(3,449)
Amortization of prior service cost	2,879	2,577
Curtailment loss	0	(14,682)
Defined Benefit Plan, Net Periodic Benefit Cost	(45,223)	(23,540)
Change in Benefit Obligation:
Benefit obligation – beginning of year	1,744,574	1,501,616
Service cost	773	2,581
Prior service cost	0	2,309
Interest cost	17,340	25,966
Member contributions	81	312
Actuarial (gain) loss	(135,475)	186,945
Net benefit payments	(65,138)	(62,878)
Curtailment loss		14,682
Exchange effect	(18,008)	73,041
Benefit obligation – end of year	1,544,147	1,744,574	1,501,616
Change in Plan Assets:
Plan assets at fair value – beginning of year	1,296,516	1,231,181
Company contributions	4,890	5,745
Investment gain	123,708	69,824
Member contributions	81	312
Benefit payments and plan expenses	(65,138)	(62,878)
Exchange effect	(17,456)	52,332
Plan assets at fair value – end of year	1,342,601	1,296,516	1,231,181
Funded Status:
Unfunded benefit obligation	(201,546)	(448,058)
Amounts recognized in balance sheet at year end:
Accrued pension benefits	(201,546)	(448,058)
Pre-tax components in accumulated other comprehensive income at period end:
Net actuarial loss	281,745	479,554
Current year actuarial (gain) loss	(181,518)	211,494
Actuarial loss recognized	(12,832)	(3,841)
Prior service cost	0	3,335
Prior service cost recognized	(3,457)	(1,550)
Total amount recognized	197,807	(209,438)
Accumulated Benefit Obligation	$ 1,544,117	$ 1,744,536
Salary growth rate	0.80%	0.80%
Assumed discount rate	1.90%	1.20%
Expected return on assets	6.20%	6.20%
USPlans
Net Periodic Pension Cost:
Service cost	$ 0	$ 0
Interest cost	841	1,043
Expected return on assets	(1,029)	(999)
Amortization of net loss	(1,118)	(763)
Amortization of prior service cost	0	0
Curtailment loss	0	0
Defined Benefit Plan, Net Periodic Benefit Cost	930	807
Change in Benefit Obligation:
Benefit obligation – beginning of year	38,897	35,395
Service cost	0	0
Prior service cost	0	0
Interest cost	841	1,043
Member contributions	0	0
Actuarial (gain) loss	(1,617)	4,146
Net benefit payments	(1,698)	(1,687)
Curtailment loss	0	0
Exchange effect	0	0
Benefit obligation – end of year	36,423	38,897	35,395
Change in Plan Assets:
Plan assets at fair value – beginning of year	17,455	16,744
Company contributions	1,233	1,587
Investment gain	1,299	811
Member contributions	0	0
Benefit payments and plan expenses	(1,698)	(1,687)
Exchange effect	0	0
Plan assets at fair value – end of year	18,289	17,455	$ 16,744
Funded Status:
Unfunded benefit obligation	(18,134)	(21,442)
Amounts recognized in balance sheet at year end:
Accrued pension benefits	(18,134)	(21,442)
Pre-tax components in accumulated other comprehensive income at period end:
Net actuarial loss	7,419	10,424
Current year actuarial (gain) loss	(1,887)	4,334
Actuarial loss recognized	(1,118)	(763)
Prior service cost	0	0
Prior service cost recognized	0	0
Total amount recognized	3,005	(3,571)
Accumulated Benefit Obligation	$ 36,423	$ 38,897
Assumed discount rate	2.60%	2.20%
Expected return on assets	6.00%	6.00%