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Accumulated Other Comprehensive Items - Reclassification Out of AOCI (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Other expense, net $ (104) $ (195) $ (6,359)
Total expense before income taxes 112,052 73,687 68,922
Income tax benefit (provision) (27,171) (17,948) (16,358)
Interest expense (4,821) (7,423) (12,755)
Cost of revenue (449,214) (357,722) (410,884)
SG&A expense (208,787) (181,905) (192,525)
Net Income 84,881 55,739 52,564
Reclassification out of Accumulated Other Comprehensive Income      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Net Income (269) (200) (6,727)
Reclassification out of Accumulated Other Comprehensive Income | Retirement Benefit Plans      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Total expense before income taxes (62) (121) (5,963)
Income tax benefit (provision) 17 153 (641)
Net Income (45) 32 (6,604)
Reclassification out of Accumulated Other Comprehensive Income | Recognized net actuarial loss      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Other expense, net (50) (66) (70)
Reclassification out of Accumulated Other Comprehensive Income | Amortization of prior service cost      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Other expense, net (12) (55) (6)
Reclassification out of Accumulated Other Comprehensive Income | Pension plan settlement loss      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Other expense, net 0 0 (5,887)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Total expense before income taxes (294) (305) (177)
Income tax benefit (provision) 70 73 54
Net Income (224) (232) (123)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges | Interest Rate Swap Agreements      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Interest expense (451) (333) (8)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges | Forward Currency- Exchange Contracts      
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items]      
Cost of revenue 0 28 (169)
SG&A expense $ 157 $ 0 $ 0