Condensed Consolidated Statements of Changes in Equity (Unaudited) - USD ($) $ in Thousands	Total	Common Stock	Additional Paid-in Capital	Retained Earnings	Accumulated Other Comprehensive Loss	Equity Attributable to Noncontrolling Interests
Balance at beginning of period at Jan. 03, 2021	$ 695,117	$ 552,969	$ 223,666	$ 20,385	$ (112,063)	$ 10,160
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards		11,843	(11,843)
Common shares issued under employee stock purchase plan		1,593	(322)
Common shares repurchased		16,937	0	66,198
Share based compensation expense			11,460
Common shares withheld to cover income taxes payable due to delivery of share based awards			(4,834)
Net income	123,092			119,718		3,374
Other comprehensive income (loss), net of tax	(93)				(196)	103
Dividends to non-controlling interests						(2,397)
Balance at end of period at Oct. 03, 2021	740,481	$ 549,468	218,127	73,905	(112,259)	11,240
Balance at beginning of period (in shares) at Jan. 03, 2021		24,422,934
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards (in shares)		195,858
Common shares issued under employee stock purchase plan (in shares)		15,091
Common shares repurchased (in shares)		(737,843)
Balance at end of period (in shares) at Oct. 03, 2021		23,896,040
Balance at beginning of period at Jul. 04, 2021	750,173	$ 556,398	217,599	68,845	(103,512)	10,843
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards		779	(779)
Common shares issued under employee stock purchase plan		769	(139)
Common shares repurchased		8,478	0	32,631
Share based compensation expense			2,336
Common shares withheld to cover income taxes payable due to delivery of share based awards			(890)
Net income	38,847			37,691		1,156
Other comprehensive income (loss), net of tax	(8,913)				(8,747)	(166)
Dividends to non-controlling interests						(593)
Balance at end of period at Oct. 03, 2021	740,481	$ 549,468	218,127	73,905	(112,259)	11,240
Balance at beginning of period (in shares) at Jul. 04, 2021		24,238,024
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards (in shares)		20,370
Common shares issued under employee stock purchase plan (in shares)		6,794
Common shares repurchased (in shares)		(369,148)
Balance at end of period (in shares) at Oct. 03, 2021		23,896,040
Balance at beginning of period at Jan. 02, 2022	699,778	$ 543,400	222,177	24,244	(101,582)	11,539
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards		13,531	(13,531)
Common shares issued under employee stock purchase plan		1,574	(207)
Common shares repurchased		35,930	0	104,070
Share based compensation expense			16,251
Common shares withheld to cover income taxes payable due to delivery of share based awards			(3,332)
Net income	185,877			183,134		2,743
Other comprehensive income (loss), net of tax	(59,558)				(60,154)	596
Dividends to non-controlling interests						(3,744)
Balance at end of period at Oct. 02, 2022	$ 696,639	$ 522,575	221,358	103,308	(161,736)	11,134
Balance at beginning of period (in shares) at Jan. 02, 2022	23,623,887	23,623,887
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards (in shares)		191,166
Common shares issued under employee stock purchase plan (in shares)		16,567
Common shares repurchased (in shares)		(1,556,008)
Balance at end of period (in shares) at Oct. 02, 2022	22,275,612	22,275,612
Balance at beginning of period at Jul. 03, 2022	$ 663,065	$ 521,243	216,653	46,271	(132,721)	11,619
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards		555	(555)
Common shares issued under employee stock purchase plan		777	(73)
Common shares repurchased		0	0	0
Share based compensation expense			5,556
Common shares withheld to cover income taxes payable due to delivery of share based awards			(223)
Net income	57,782			57,037		745
Other comprehensive income (loss), net of tax	(29,060)				(29,015)	(45)
Dividends to non-controlling interests						(1,185)
Balance at end of period at Oct. 02, 2022	$ 696,639	$ 522,575	$ 221,358	$ 103,308	$ (161,736)	$ 11,134
Balance at beginning of period (in shares) at Jul. 03, 2022		22,259,356
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Common shares issued for delivery of share based awards (in shares)		7,718
Common shares issued under employee stock purchase plan (in shares)		8,538
Common shares repurchased (in shares)		0
Balance at end of period (in shares) at Oct. 02, 2022	22,275,612	22,275,612