Employee Benefit Plans (Schedule of Changes in Fair Value of Plan Assets, Pension Plans) (Details) - Pension Plans, Defined Benefit - USD ($) $ in Thousands	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 471,305	$ 473,430
Cash [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	22,241	6,363
Equity Securities, U.S. Large-cap [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	91,601	78,234
Equity Securities, International large-cap value[Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	29,803	28,315
Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	12,603	13,594
Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	23,259
Debt Security, Government, Non-US [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		106,315
Fixed Income Funds, Corporate Debt Instruments [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	133,727	140,349
Fixed Income Funds, Corporate Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	15,650	35,816
Fixed Income Funds, High Yield Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		2,954
Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		38,231
Foreign liability driven investment [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	165,680
Fair Value, Inputs, Level 1 [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	197,973	172,960
Fair Value, Inputs, Level 1 [Member] | Cash [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	22,241	6,363
Fair Value, Inputs, Level 1 [Member] | Equity Securities, U.S. Large-cap [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	91,601	78,234
Fair Value, Inputs, Level 1 [Member] | Equity Securities, International large-cap value[Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	29,803	28,315
Fair Value, Inputs, Level 1 [Member] | Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	12,603	13,594
Fair Value, Inputs, Level 1 [Member] | Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 1 [Member] | Debt Security, Government, Non-US [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 1 [Member] | Fixed Income Funds, Corporate Debt Instruments [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	41,725	43,500
Fair Value, Inputs, Level 1 [Member] | Fixed Income Funds, Corporate Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 1 [Member] | Fixed Income Funds, High Yield Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		2,954
Fair Value, Inputs, Level 1 [Member] | Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 1 [Member] | Foreign liability driven investment [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0
Fair Value, Inputs, Level 2 [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	107,652	277,211
Fair Value, Inputs, Level 2 [Member] | Cash [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 2 [Member] | Equity Securities, U.S. Large-cap [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 2 [Member] | Equity Securities, International large-cap value[Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 2 [Member] | Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 2 [Member] | Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 2 [Member] | Debt Security, Government, Non-US [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		106,315
Fair Value, Inputs, Level 2 [Member] | Fixed Income Funds, Corporate Debt Instruments [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	92,002	96,849
Fair Value, Inputs, Level 2 [Member] | Fixed Income Funds, Corporate Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	15,650	35,816
Fair Value, Inputs, Level 2 [Member] | Fixed Income Funds, High Yield Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 2 [Member] | Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		38,231
Fair Value, Inputs, Level 2 [Member] | Foreign liability driven investment [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0
Fair Value, Inputs, Level 3 [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	165,680	23,259	$ 24,409	$ 39,130
Fair Value, Inputs, Level 3 [Member] | Cash [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, U.S. Large-cap [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, International large-cap value[Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	23,259	22,688	22,196
Fair Value, Inputs, Level 3 [Member] | Debt Security, Government, Non-US [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 3 [Member] | Fixed Income Funds, Corporate Debt Instruments [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Fixed Income Funds, Corporate Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0
Fair Value, Inputs, Level 3 [Member] | Fixed Income Funds, High Yield Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 3 [Member] | Other Types of Investments, Multi-strategy hedge funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	0	0	1,721	16,934
Fair Value, Inputs, Level 3 [Member] | Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets		0
Fair Value, Inputs, Level 3 [Member] | Foreign liability driven investment [Member]
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets	$ 165,680	$ 0	$ 0	$ 0