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Defined Benefit Pension Plans (Tables)
12 Months Ended
Dec. 31, 2022
Text Block [Abstract]  
Components of Net Periodic Benefit Cost and Other Amounts Recognized in Other Comprehensive Loss
The components of net periodic benefit cost and other amounts recognized in other comprehensive income (loss) of the Company’s noncontributory defined benefit pension plans were as follows:
 
 Years Ended
 December 31,
2022
January 1,
2022
January 2,
2021
Service cost$1,345 $1,488 $1,406 
Interest cost27,669 23,812 33,552 
Expected return on assets(49,189)(45,923)(42,278)
Settlement cost(6)861 121 
Amortization of:
Prior service cost(6)(6)(6)
Net actuarial loss20,972 24,440 22,277 
Net periodic benefit cost$785 $4,672 $15,072 
Other Changes in Plan Assets and Benefit Obligations Recognized in Other Comprehensive Income (Loss)
Net (gain) loss$(130,000)$(96,334)$38,484 
Prior service credit
Total (gain) loss recognized in other comprehensive income (loss)(129,994)(96,328)38,490 
Total recognized in net periodic benefit cost and other comprehensive income (loss)$(129,209)$(91,656)$53,562 
Funded Status of Company's Defined Benefit Pension Plans
The funded status of the Company’s defined benefit pension plans at the respective year ends was as follows:
 
December 31,
2022
January 1,
2022
Benefit obligation:
Beginning of year$1,216,161 $1,299,943 
Service cost1,345 1,488 
Interest cost27,669 23,812 
Benefits paid(64,786)(62,525)
Settlements(125)(2,072)
Impact of exchange rate change(2,603)(1,128)
Actuarial gain(251,426)(43,325)
Other(36)(32)
End of year926,199 1,216,161 
Fair value of plan assets:
Beginning of year973,598 920,316 
Actual return on plan assets(93,497)73,567 
Employer contributions2,831 44,658 
Benefits paid(64,786)(62,525)
Settlements(125)(2,072)
Impact of exchange rate change(1,741)(314)
Other(36)(32)
End of year816,244 973,598 
Funded status$(109,955)$(242,563)
Accumulated Benefit Obligation and Fair Value of Plan Assets with Accumulated Benefit Obligations in Excess of Plan Assets
As most of the Company’s pension plans are frozen, the accumulated benefit obligation (“ABO”) approximates the benefit obligation. The total benefit obligation and the benefit obligation and fair value of plan assets for the Company’s pension plans with benefit obligations in excess of plan assets are as follows:
 
December 31,
2022
January 1,
2022
Benefit obligation$926,199 $1,216,161 
Plans with benefit obligation in excess of plan assets:
Benefit obligation905,749 1,188,558 
Fair value of plan assets790,641 942,733 
Amounts Recognized in Company's Consolidated Balance Sheets
Amounts recognized in the Company’s Consolidated Balance Sheets consist of:
 
December 31,
2022
January 1,
2022
Other noncurrent assets$5,153 $3,262 
Accrued liabilities and other: Payroll and employee benefits(2,388)(2,225)
Pension and postretirement benefits(112,720)(243,600)
Accumulated other comprehensive loss(440,529)(570,523)
Amounts Recognized in Accumulated Other Comprehensive Loss
Amounts recognized in accumulated other comprehensive loss consist of:
 
December 31,
2022
January 1,
2022
Prior service cost$(133)$(139)
Actuarial loss440,662 570,662 
Accumulated other comprehensive loss$440,529 $570,523 
Weighted Average Actuarial Assumptions Used in Measuring Net Periodic Benefit Cost and Plan Obligation The weighted average actuarial assumptions used in measuring the net periodic benefit cost and plan obligations for the periods presented were as follows:
 
December 31,
2022
January 1,
2022
January 2,
2021
Net periodic benefit cost:
Discount rate2.88 %2.55 %3.25 %
Long-term rate of return on plan assets5.24 4.95 4.97 
Rate of compensation increase(1)
3.09 3.10 3.07 
Interest crediting rate5.50 5.50 5.50 
Plan obligations:
Discount rate5.15 %2.88 %2.55 %
Rate of compensation increase(1)
3.08 3.09 3.10 
Interest crediting rate5.50 5.50 5.50 
(1)For December 31, 2022, January 1, 2022 and January 2, 2021, the compensation assumption only applies to certain international plans as the benefits of the U.S. pension plans are now all frozen.
Allocation of Pension Plan Assets
The allocation of pension plan assets as of the respective period end measurement dates is as follows:
 
December 31,
2022
January 1,
2022
Asset category:
Hedge fund of funds39 %37 %
Foreign equity securities21 22 
U.S. equity securities19 21 
Debt securities10 11 
Real estate
Commodities
Cash and other