Employee Benefit Plans (Schedule of Net Funded Status, Pension Plans) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Actuarial assumptions as of the year-end measurement date:
Defined Benefit Plan, Pension Plans with Accumulated Benefit Obligations in Excess of Plan Assets, Aggregate Projected Benefit Obligation	$ 189,349	$ 224,499
Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets, Plan Assets	0	0
Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Projected Benefit Obligation	191,285	226,890
Defined Benefit Plan, Pension Plan with Projected Benefit Obligation in Excess of Plan Assets, Plan Assets	0	0
Foreign Plan [Member]
Change in plan assets:
Employer's contributions	6,900	7,500	$ 8,200
UNITED STATES
Change in plan assets:
Employer's contributions		$ 20,000
Other Pension Plan [Member]
Actuarial assumptions as of the year-end measurement date:
Rate of compensation increase		2.78%
Other Postretirement Benefit Plans, Defined Benefit [Member]
Net amounts recognized in the consolidated balance sheets consist of:
Net amounts recognized in the consolidated balance sheets	(20,700)	$ (19,000)
Foreign Plan [Member]
Actuarial present value of benefit obligations: [Abstract]
Accumulated benefit obligations	337,454	392,948
Change in benefit obligations:
Projected benefit obligations at beginning of year	395,339	341,455
Service cost	4,924	5,314
Interest cost	2,632	3,991
Defined Benefit Plan, Benefit Obligation, Contributions by Plan Participant	0	37
Defined Benefit Plan, Benefit Obligation, Business Combination	0	(120)
Actuarial loss (gain)	(30,705)	35,910
Effect of exchange rate changes	(17,501)	24,575
Projected benefit obligations at end of year	339,390	395,339	341,455
Change in plan assets:
Fair value of plan assets at beginning of year	204,744	179,860
Actual return on plan assets	(13,115)	25,153
Benefits paid and plan expenses	(15,299)	(15,823)
Employer's contributions	6,851	7,506
Participant's contributions	0	37
Effect of exchange rate changes	(1,992)	8,011
Fair value of plan assets at end of year	181,189	204,744	$ 179,860
Net amounts recognized in the consolidated balance sheets consist of:
Net amounts recognized in the consolidated balance sheets	(158,201)	(190,595)
Assets for Plan Benefits, Defined Benefit Plan	33,084	36,295
Current liabilities	(6,966)	(7,597)
Noncurrent liabilities	$ (184,319)	$ (219,293)
Actuarial assumptions as of the year-end measurement date:
Discount rate	1.41%	0.92%	1.34%	2.07%
Rate of compensation increase	2.78%	2.78%	3.36%	3.48%
Expected rate of return on assets		2.10%	2.20%	5.30%
Defined Benefit Plan, Benefit Obligation, Benefits Paid	$ 15,299	$ 15,823
UNITED STATES
Actuarial present value of benefit obligations: [Abstract]
Accumulated benefit obligations	299,826	317,679
Change in benefit obligations:
Projected benefit obligations at beginning of year	317,679	304,710
Service cost	250	2,100
Interest cost	6,808	8,885
Defined Benefit Plan, Benefit Obligation, Contributions by Plan Participant	0	0
Defined Benefit Plan, Benefit Obligation, Business Combination	0	0
Actuarial loss (gain)	(6,218)	22,494
Effect of exchange rate changes	0	0
Projected benefit obligations at end of year	299,826	317,679	$ 304,710
Change in plan assets:
Fair value of plan assets at beginning of year	268,686	254,450
Actual return on plan assets	20,123	34,746
Benefits paid and plan expenses	(18,693)	(20,510)
Employer's contributions	20,000	0
Participant's contributions	0	0
Effect of exchange rate changes	0	0
Fair value of plan assets at end of year	290,116	268,686	$ 254,450
Net amounts recognized in the consolidated balance sheets consist of:
Net amounts recognized in the consolidated balance sheets	(9,710)	(48,993)
Assets for Plan Benefits, Defined Benefit Plan	0	0
Current liabilities	0	0
Noncurrent liabilities	$ (9,710)	$ (48,993)
Actuarial assumptions as of the year-end measurement date:
Discount rate	2.44%	2.21%	3.01%	4.05%
Rate of compensation increase	0.00%	0.00%	0.00%	0.00%
Expected rate of return on assets		7.25%	7.25%	7.25%
Defined Benefit Plan, Benefit Obligation, Benefits Paid	$ 18,693	$ 20,510