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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. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]      
Fair value of plan assets at beginning of year $ 471,305    
Fair value of plan assets at end of year 323,489 $ 471,305  
Foreign liability driven investment [Member]      
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]      
Fair value of plan assets at beginning of year 165,680    
Fair value of plan assets at end of year 95,062 165,680  
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 12,603    
Fair value of plan assets at end of year 9,902 12,603  
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)
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 165,680 23,259 24,409
Defined Benefit Plan, Realized losses   (226)  
Fair value of plan assets at end of year 95,062 165,680 23,259
Defined Benefit Plan, Unrealized Gains     571
Defined Benefit Plan, Realized Gains   82  
Defined Benefit Plan, Foreign exchange losses (18,411)    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase (Decrease) for Actual Return (Loss) on Plan Assets Still Held (45,568)    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Pension Benefits Paid (6,639)    
Fair Value, Inputs, Level 3 [Member] | Foreign Real Estate Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase for Purchase   0  
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]      
Defined Benefit Plan, Realized losses   (226)  
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)
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 0 1,721
Defined Benefit Plan, Realized losses   0  
Fair value of plan assets at end of year 0 0 0
Defined Benefit Plan, Unrealized Gains     0
Defined Benefit Plan, Realized Gains   0  
Defined Benefit Plan, Foreign exchange losses 0    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase (Decrease) for Actual Return (Loss) on Plan Assets Still Held 0    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Pension Benefits Paid 0    
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
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 165,680 0 0
Defined Benefit Plan, Realized losses   0  
Fair value of plan assets at end of year 95,062 165,680 0
Defined Benefit Plan, Unrealized Gains     0
Defined Benefit Plan, Realized Gains   0  
Defined Benefit Plan, Foreign exchange losses (18,411)    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase (Decrease) for Actual Return (Loss) on Plan Assets Still Held (45,568)    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Pension Benefits Paid (6,639)    
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
Defined Benefit Plan, Change in Fair Value of Plan Assets [Roll Forward]      
Fair value of plan assets at beginning of year 0 23,259 22,688
Fair value of plan assets at end of year 0 0 23,259
Defined Benefit Plan, Unrealized Gains     $ 571
Defined Benefit Plan, Realized Gains   82  
Defined Benefit Plan, Foreign exchange losses 0    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Increase (Decrease) for Actual Return (Loss) on Plan Assets Still Held 0    
Defined Benefit Plan, Plan Assets Level 3 Reconciliation, Pension Benefits Paid 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