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Accumulated Other Comprehensive Income (Loss) and Shareholders' Equity - Changes in Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance $ 590,745 $ 584,368 $ 563,259
Reclassification of stranded tax impact     0
Ending Balance 589,967 590,745 584,368
Accumulated Other Comprehensive Income (Loss)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (9,153) (8,073) (3,599)
Other comprehensive income (loss) before reclassifications 2,078 (2,630) (3,614)
Tax (expense) or benefit (438) 931 942
Reclassification of stranded tax impact     (739)
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 738 619 (1,063)
Ending Balance (6,775) (9,153) (8,073)
Foreign Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (1,071) (2,912) (2,973)
Other comprehensive income (loss) before reclassifications 417 1,439 61
Tax (expense) or benefit 0 0 0
Reclassification of stranded tax impact     0
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 0 402 0
Ending Balance (654) (1,071) (2,912)
Unrealized Gains (Losses) on Debt Securities      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance 360 95 (156)
Other comprehensive income (loss) before reclassifications (381) 335 318
Tax (expense) or benefit 80 (70) (67)
Reclassification of stranded tax impact     0
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 0 0 0
Ending Balance 59 360 95
Pension and Post-retirement Liabilities      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (6,682) (5,762) (2,929)
Other comprehensive income (loss) before reclassifications 1,668 (1,162) (2,254)
Tax (expense) or benefit (430) 242 606
Reclassification of stranded tax impact     (1,185)
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 0 0 0
Ending Balance (5,444) (6,682) (5,762)
Derivative Financial Instruments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning Balance (1,760) 506 2,459
Other comprehensive income (loss) before reclassifications 374 (3,242) (1,739)
Tax (expense) or benefit (88) 759 403
Reclassification of stranded tax impact     446
Amounts reclassified from accumulated other comprehensive income (loss), net of tax 738 217 (1,063)
Ending Balance $ (736) $ (1,760) $ 506