Shareholders' Equity - Activity in Shareholders' Equity (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	$ 361,537	$ 363,398	$ 326,538
Net income	44,517	19,560	55,234
Issuances of stock related to restricted share units and performance shares	0
Restricted stock issuances	760	6,549	6,109
Unrecognized compensation expense related to restricted stock awards	(760)	(6,549)	(6,109)
Cash dividends declared	(2,323)	(2,355)	(2,362)
Compensation expense related to share-based plans, net of forfeitures and shares received for tax withholdings	$ 8,750	$ 8,126	5,230
Share repurchases (in shares)	0	(1,383,682)
Share repurchases		$ (17,171)
Pension liability adjustment	$ (6,468)	26,340	15,400
Foreign currency translation adjustment	19,185	(38,334)	(40,110)
Reclassification from accumulated other comprehensive loss – discontinued cash flow hedge	749	1,973	3,468
Balance at end of year	$ 425,947	$ 361,537	$ 363,398
COMMON STOCK
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year (in shares)	58,106,000	59,055,000	58,664,000
Balance at beginning of year	$ 5,811	$ 5,905	$ 5,865
Issuances of stock related to restricted share units and performance shares (in shares)	85,000
Issuances of stock related to restricted share units and performance shares	$ 8
Restricted stock issuances (in shares)	107,000	501,000	429,000
Restricted stock issuances	$ 11	$ 50	$ 43
Compensation expense related to share-based plans, net of forfeitures and shares received for tax withholdings (in shares)	(186,000)	(66,000)	(38,000)
Compensation expense related to share-based plans, net of forfeitures and shares received for tax withholdings	$ (19)	$ (6)	$ (3)
Share repurchases (in shares)		(1,384,000)
Share repurchases		$ (138)
Balance at end of year (in shares)	58,112,000	58,106,000	59,055,000
Balance at end of year	$ 5,811	$ 5,811	$ 5,905
ADDITIONAL PAID-IN CAPITAL
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	244,159	253,110	247,920
Issuances of stock related to restricted share units and performance shares	(8)
Restricted stock issuances	749	6,499	6,066
Unrecognized compensation expense related to restricted stock awards	(760)	(6,549)	(6,109)
Compensation expense related to share-based plans, net of forfeitures and shares received for tax withholdings	8,769	8,132	5,233
Share repurchases		(17,033)
Balance at end of year	252,909	244,159	253,110
RETAINED EARNINGS
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	278,639	261,434	208,562
Net income	44,517	19,560	55,234
Cash dividends declared	(2,323)	(2,355)	(2,362)
Balance at end of year	320,833	278,639	261,434
PENSION LIABILITY
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	(27,548)	(53,888)	(69,288)
Pension liability adjustment	(6,468)	26,340	15,400
Balance at end of year	(34,016)	(27,548)	(53,888)
FOREIGN CURRENCY TRANSLATION ADJUSTMENT
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	(138,775)	(100,441)	(60,331)
Foreign currency translation adjustment	19,185	(38,334)	(40,110)
Balance at end of year	(119,590)	(138,775)	(100,441)
CASH FLOW HEDGE
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Balance at beginning of year	(749)	(2,722)	(6,190)
Reclassification from accumulated other comprehensive loss – discontinued cash flow hedge	749	1,973	3,468
Balance at end of year	$ 0	$ (749)	$ (2,722)