Employee Benefit Plans (Schedule of Effect of Significant Unobservable Inputs, Changes in Plan Assets, Pension Plans) (Details) - Pension Plans, Defined Benefit - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	$ 473,430
Fair value of plan assets at end of year	471,305	$ 473,430
Foreign liability driven investment [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at end of year	165,680
Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	23,259
Fair value of plan assets at end of year	0	23,259
Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	13,594
Fair value of plan assets at end of year	12,603	13,594
Debt Security, Government, Non-US [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	106,315
Fair value of plan assets at end of year		106,315
Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	38,231
Fair value of plan assets at end of year		38,231
Fair Value, Inputs, Level 3 [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Decrease for Sale	(23,115)	(1,721)	$ (15,586)
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase for Purchase	165,680
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	23,259	24,409	39,130
Defined Benefit Plan, Realized losses	(226)
Fair value of plan assets at end of year	165,680	23,259	24,409	$ 39,130
Defined Benefit Plan, Unrealized Gains			(3,310)	571
Defined Benefit Plan, Realized Gains	82		4,175
Fair Value, Inputs, Level 3 [Member] | Multi-strategy hedge funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Decrease for Sale	0	(1,721)	(15,586)
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase for Purchase	0
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	0	1,721	16,934
Defined Benefit Plan, Realized losses	0
Fair value of plan assets at end of year	0	0	1,721	16,934
Defined Benefit Plan, Unrealized Gains			(3,802)	0
Defined Benefit Plan, Realized Gains	0		4,175
Fair Value, Inputs, Level 3 [Member] | Foreign liability driven investment [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Decrease for Sale	0	0	0
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase for Purchase	165,680
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	0	0	0
Defined Benefit Plan, Realized losses	0
Fair value of plan assets at end of year	165,680	0	0	0
Defined Benefit Plan, Unrealized Gains			0	0
Defined Benefit Plan, Realized Gains	0		0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, Foreign Real Estate Funds [Member]
Defined Benefit Plan Disclosure [Line Items]
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Decrease for Sale	(23,115)	0	0
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase for Purchase	0
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	23,259	22,688	22,196
Defined Benefit Plan, Realized losses	(226)
Fair value of plan assets at end of year	0	23,259	22,688	22,196
Defined Benefit Plan, Unrealized Gains			492	$ 571
Defined Benefit Plan, Realized Gains	82		$ 0
Fair Value, Inputs, Level 3 [Member] | Equity Securities, Emerging Markets Growth [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	0
Fair value of plan assets at end of year	0	0
Fair Value, Inputs, Level 3 [Member] | Debt Security, Government, Non-US [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	0
Fair value of plan assets at end of year		0
Fair Value, Inputs, Level 3 [Member] | Other Types of Investments, Non U.S. Government Index Linked Bonds [Member]
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]
Fair value of plan assets at beginning of year	$ 0
Fair value of plan assets at end of year		$ 0