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Accumulated Other Comprehensive Income (Loss) - Schedule of Change in Accumulated Balances for Each Component of Other Comprehensive Income (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance $ 363,249 $ 59,092 $ (26,083)
Other comprehensive income (loss), net of tax (2,052) 6,632 (1,429)
Ending balance 590,029 363,249 59,092
Impact of defined benefit pension, net of tax      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance (30,245) (36,855) (35,441)
Other comprehensive income (loss), net of tax (2,430) 6,610 (1,414)
Ending balance (32,675) (30,245) (36,855)
Unrecognized actuarial gain (loss) (2,400) 6,600 1,700
Taxes 800 2,100 300
Tax benefit (expense)     400
Other, net of tax      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance 885 863 878
Other comprehensive income (loss), net of tax 378 22 (15)
Ending balance 1,263 885 863
Total      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning balance (29,360) (35,992) (34,563)
Other comprehensive income (loss), net of tax (2,052) 6,632 (1,429)
Ending balance $ (31,412) $ (29,360) $ (35,992)