Employee Benefit Plans (Details) $ in Thousands		1 Months Ended	12 Months Ended
		Jul. 31, 2005	Jan. 02, 2021 USD ($) plan	Dec. 28, 2019 USD ($)	Dec. 29, 2018 USD ($)
Fair Value Measurement [Domain]
Change in plan assets:
Fair value of plan assets at beginning of period			$ 155,702
Fair value of plan assets at end of period			178,978	$ 155,702
Fair Value Measurement [Domain] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			104,189
Fair value of plan assets at end of period			114,143	104,189
Fair Value Measurement [Domain] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			5,792
Fair value of plan assets at end of period			11,088	5,792
Fair Value Measurement [Domain] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			4,474
Fair value of plan assets at end of period			3,249	4,474
Projected benefit obligation at beginning of period			212,265	190,666
Service cost			3,060	2,696	$ 3,064
Interest cost			5,721	6,828	6,443
Employee contributions			360	368
Plan combinations			5,362	0
Employee contributions			360	368
Actuarial loss			16,427	20,927
Benefits paid			(8,274)	(8,120)
Effect of curtailment			(747)	(43)
Effect of settlement			(2,208)	(903)
Other			4,011	(154)
Projected benefit obligation at end of period			235,977	212,265	190,666
Fair value of plan assets at beginning of period			155,702	133,861
Actual return on plan assets			16,029	26,014
Employer contributions			11,460	4,343
Plan combinations			4,537	0
Benefits paid			(8,274)	(8,120)
Effect of settlement			(2,208)	(903)
Other			1,372	139
Fair value of plan assets at end of period			178,978	155,702	133,861
Funded status			(56,999)	(56,563)
Amounts recognized in the consolidated balance    sheets consist of:
Current liability			(1,242)	(1,072)
Noncurrent liability			(55,757)	(55,491)
Net amount recognized			(56,999)	(56,563)
Amounts recognized in accumulated other    comprehensive loss consist of:
Net actuarial loss			51,145	45,062
Prior service cost			194	295
Net amount recognized	[1]		51,339	45,357
Other Comprehensive Income (Loss), Pension and Other Postretirement Benefit Plans, Tax			13,000	11,400
Accumulated benefit obligation			221,238	201,708
Net pension cost includes the following components:
Service cost			3,060	2,696	3,064
Interest cost			5,721	6,828	6,443
Expected return on plan assets			(8,161)	(7,270)	(8,226)
Net amortization and deferral			3,438	4,605	3,578
Curtailment			(678)	(33)	(263)
Settlement			(22)	66	47
Net pension cost			$ 3,358	$ 6,892	$ 4,643
Weighted average assumptions used to determine benefit obligations:
Discount rate			2.10%	2.77%	3.68%
Rate of compensation increase			0.45%	0.40%	0.42%
Weighted average assumptions used to determine net periodic benefit cost for the employee benefit pension plans:
Discount rate			2.13%	3.33%	2.30%
Rate of increase in future compensation levels			0.41%	0.42%	0.36%
Expected long-term rate of return on assets			5.92%	6.13%	6.13%
Defined Benefit Plan, Expected Future Benefit Payment [Abstract]
2021			$ 11,947
2022			10,528
2023			10,953
2024			12,035
2025			12,938
Years 2026 – 2030			66,317
Multiemployer Plans [Abstract]
Contributions			$ 3,229	$ 3,626	$ 3,547
Number Of Multiemployer Plans, Withdrawal Obligation | plan			5
Multiemployer Plans, Withdrawal Obligation			$ 2,700
Investment Horizon of Greater Than			ten years
Multiemployer Plans, Withdrawal Obligation, Settlement			$ 2,500
Foreign Plan [Member]
Weighted average assumptions used to determine net periodic benefit cost for the employee benefit pension plans:
Expected long-term rate of return on assets			1.80%
Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			$ 4,474	3,337
Fair value of plan assets at end of period			3,249	4,474	3,337
Western Conference Of Teamsters Pension Plan [Member]
Multiemployer Plans [Abstract]
Contributions	[2]		1,429	1,514	1,505
Central States, Southeast and Southwest Areas Pension Plan [Member]
Multiemployer Plans [Abstract]
Contributions	[3],[4]		886	916	978
Multiemployer Plans, IRS Extended Amortization Period		10 years
Other Multiemployer Plans [Member]
Multiemployer Plans [Abstract]
Contributions			$ 914	1,196	$ 1,064
Maximum [Member]
Defined Benefit Plan Disclosure [Line Items]
Multiemployer Plan, Contributions To Individual Plan, Percent			5.00%
Multiemployer Plans [Abstract]
Investment Objectives Achievement Period			7 years
Maximum [Member] | Equity Securities [Member] | UNITED STATES
Multiemployer Plans [Abstract]
Defined Benefit Plan, Target Plan Asset Allocations Range Minimum (Deprecated 2017-01-31)			65
Maximum [Member] | Fixed Income Securities [Member] | UNITED STATES
Multiemployer Plans [Abstract]
Defined Benefit Plan, Target Plan Asset Allocations Range Minimum (Deprecated 2017-01-31)			80
Minimum [Member]
Multiemployer Plans [Abstract]
Investment Objectives Achievement Period			5 years
Minimum [Member] | Equity Securities [Member] | UNITED STATES
Multiemployer Plans [Abstract]
Defined Benefit Plan, Target Plan Asset Allocations Range Minimum (Deprecated 2017-01-31)			20
Minimum [Member] | Fixed Income Securities [Member] | UNITED STATES
Multiemployer Plans [Abstract]
Defined Benefit Plan, Target Plan Asset Allocations Range Minimum (Deprecated 2017-01-31)			35
Estimate of Fair Value Measurement [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			$ 114,455
Fair value of plan assets at end of period			128,480	114,455
Estimate of Fair Value Measurement [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			104,189
Fair value of plan assets at end of period			114,143	104,189
Estimate of Fair Value Measurement [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			5,792
Fair value of plan assets at end of period			11,088	5,792
Estimate of Fair Value Measurement [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			4,474
Fair value of plan assets at end of period			3,249	4,474
Estimate of Fair Value Measurement [Member] | Fixed Income, Long Term [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			16,154
Fair value of plan assets at end of period			20,082	16,154
Estimate of Fair Value Measurement [Member] | Fixed Income, Long Term [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			16,154
Fair value of plan assets at end of period			20,082	16,154
Estimate of Fair Value Measurement [Member] | Fixed Income, Long Term [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Fixed Income, Long Term [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Fixed Income, Short Term [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			3,448
Fair value of plan assets at end of period			3,585	3,448
Estimate of Fair Value Measurement [Member] | Fixed Income, Short Term [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			3,448
Fair value of plan assets at end of period			3,585	3,448
Estimate of Fair Value Measurement [Member] | Fixed Income, Short Term [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Fixed Income, Short Term [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Equity Securities, Domestic [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			52,420
Fair value of plan assets at end of period			55,454	52,420
Estimate of Fair Value Measurement [Member] | Equity Securities, Domestic [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			52,420
Fair value of plan assets at end of period			55,454	52,420
Estimate of Fair Value Measurement [Member] | Equity Securities, Domestic [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Equity Securities, Domestic [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Equity Securities, International [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			32,167
Fair value of plan assets at end of period			35,022	32,167
Estimate of Fair Value Measurement [Member] | Equity Securities, International [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			32,167
Fair value of plan assets at end of period			35,022	32,167
Estimate of Fair Value Measurement [Member] | Equity Securities, International [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Equity Securities, International [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Insurance Contracts [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			10,266
Fair value of plan assets at end of period			14,337	10,266
Estimate of Fair Value Measurement [Member] | Insurance Contracts [Member] | Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			0
Fair value of plan assets at end of period			0	0
Estimate of Fair Value Measurement [Member] | Insurance Contracts [Member] | Significant Other Observable Inputs (Level 2) [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			5,792
Fair value of plan assets at end of period			11,088	5,792
Estimate of Fair Value Measurement [Member] | Insurance Contracts [Member] | Fair Value, Inputs, Level 3 [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			4,474
Fair value of plan assets at end of period			3,249	4,474
Portion at Other than Fair Value Measurement [Member]
Change in plan assets:
Fair value of plan assets at beginning of period			41,247
Fair value of plan assets at end of period			$ 50,498	$ 41,247

[1] Amounts do not include deferred taxes of $13.0 million and $11.4 million at January 2, 2021 and December 28, 2019, respectively.

[2] The Company has several plants that participate in the Western Conference of Teamsters Pension Plan under collective bargaining agreements that require minimum funding contributions. Certain of these agreements have expired and are being renegotiated with others having expiration dates through April 1, 2025.

[3] In July 2005 this plan received a 10 year extension from the IRS for amortizing unfunded liabilities.

[4] The Company has several processing plants that participate in the Central States, Southeast and Southwest Areas Pension Plan under collective bargaining agreements that require minimum funding contributions. The agreements have expiration dates through May 1, 2023.