Consolidated Statements of Changes in Stockholders' Equity - USD ($) $ in Thousands	Total	Common Stock	Capital in Excess of Par Value	Retained Earnings	Accumulated Other Comprehensive Income (Loss)	Treasury Stock
Balances at Jan. 02, 2021	$ 1,372,994	$ 199	$ 659,682	$ 932,094	$ 6,424	$ (225,405)
Balances (in shares) at Jan. 02, 2021		228,729,585
Balances, treasury shares at Jan. 02, 2021						(17,126,261)
Net Income (Loss)	206,187			206,187
Derivative instruments, net of tax (Note 11)	(7,029)				(7,029)
Pension and postretirement plans, net of tax (Note 21)	3,192				3,192
Stock repurchases	(9,510)					$ (9,510)
Stock repurchases (in shares)						(406,840)
Issuance of deferred stock awards			(636)			$ 636
Issuance of deferred stock awards (in shares)						48,231
Amortization of stock-based compensation awards	21,343		21,343
Time-based restricted stock awards issued (Note 19)			(1,798)			$ 1,798
Time-based restricted stock awards issued (in shares)						136,652
Issuance of deferred compensation			(177)			$ 177
Issuance of deferred compensation (in shares)						13,414
Dividends paid on vested stock-based payments awards	(234)			(234)
Dividends paid	(175,669)			(175,669)
Balances at Jan. 01, 2022	1,411,274	$ 199	678,414	962,378	2,587	$ (232,304)
Balances (in shares) at Jan. 01, 2022		228,729,585
Balances, treasury shares at Jan. 01, 2022						(17,334,804)
Net Income (Loss)	228,394			228,394
Derivative instruments, net of tax (Note 11)	(3,944)				(3,944)
Pension and postretirement plans, net of tax (Note 21)	2,831				2,831
Stock repurchases	(34,586)					$ (34,586)
Stock repurchases (in shares)						(1,321,117)
Issuance of deferred stock awards			(902)			$ 902
Issuance of deferred stock awards (in shares)						65,687
Amortization of stock-based compensation awards	25,822		25,822
Time-based restricted stock awards issued (Note 19)			(2,860)			$ 2,860
Time-based restricted stock awards issued (in shares)						213,436
Performance-contingent restricted stock awards issued (Note 19)			(10,469)			$ 10,469
Performance-contingent restricted stock awards issued (in shares)						777,773
Issuance of deferred compensation			(46)			$ 46
Issuance of deferred compensation (in shares)						3,406
Dividends paid on vested stock-based payments awards	(2,260)			(2,260)
Dividends paid	(184,241)			(184,241)
Balances at Dec. 31, 2022	$ 1,443,290	$ 199	689,959	1,004,271	1,474	$ (252,613)
Balances (in shares) at Dec. 31, 2022		228,729,585
Balances, treasury shares at Dec. 31, 2022	(17,595,619)					(17,595,619)
Net Income (Loss)	$ 123,416			123,416
Derivative instruments, net of tax (Note 11)	(1,136)				(1,136)
Pension and postretirement plans, net of tax (Note 21)	283				283
Stock repurchases	$ (45,801)					$ (45,801)
Stock repurchases (in shares)	(1,898,729)					(1,898,729)
Issuance of deferred stock awards			(927)			$ 927
Issuance of deferred stock awards (in shares)						63,266
Amortization of stock-based compensation awards	$ 26,945		26,945
Time-based restricted stock awards issued (Note 19)			(3,623)			$ 3,623
Time-based restricted stock awards issued (in shares)						251,222
Performance-contingent restricted stock awards issued (Note 19)			(12,508)			$ 12,508
Performance-contingent restricted stock awards issued (in shares)						867,944
Issuance of deferred compensation			(38)			$ 38
Issuance of deferred compensation (in shares)						2,557
Dividends paid on vested stock-based payments awards	(2,780)			(2,780)
Dividends paid	(192,435)			(192,435)
Balances at Dec. 30, 2023	$ 1,351,782	$ 199	$ 699,808	$ 932,472	$ 621	$ (281,318)
Balances (in shares) at Dec. 30, 2023		228,729,585
Balances, treasury shares at Dec. 30, 2023	(18,309,359)					(18,309,359)