Effect of Derivative Instruments for Deferred Gains And (Losses) on Closed Contracts and Effective Portion in Fair Value on AOCI, Utilized for Risk Management Purposes (Detail) - USD ($) $ in Thousands		3 Months Ended												4 Months Ended				12 Months Ended
		Jan. 01, 2022	[1]	Oct. 09, 2021	[1]	Jul. 17, 2021	[1]	Jan. 02, 2021	[1]	Oct. 03, 2020	[1]	Jul. 11, 2020	[1]	Apr. 24, 2021	[1]	Apr. 18, 2020	[1]	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Recognized in OCI on Derivatives (Effective Portion) (Net of tax)																		$ (5,348)	$ 9,298	$ 8,457
Production costs		$ 512,531		$ 515,078		$ 504,062		$ 521,577		$ 497,659		$ 506,033		$ 643,576		$ 670,873		2,175,247	2,196,142	2,155,709
Income before income taxes																		270,772	200,711	212,083
Reclassification out of Accumulated Other Comprehensive Income
Derivative Instruments, Gain (Loss) [Line Items]
Income before income taxes																		1,681	(2,116)	2,664
Interest Rate Contracts
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Recognized in OCI on Derivatives (Effective Portion) (Net of tax)																		2,926
Interest Rate Contracts | Reclassification out of Accumulated Other Comprehensive Income
Derivative Instruments, Gain (Loss) [Line Items]
Interest income (expense)																		95	(109)	(107)
Commodity Contract
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Recognized in OCI on Derivatives (Effective Portion) (Net of tax)																		(8,274)	9,298	8,457
Commodity Contract | Reclassification out of Accumulated Other Comprehensive Income | Product
Derivative Instruments, Gain (Loss) [Line Items]
Production costs	[2]																	$ 1,586	$ (2,007)	$ 2,771

[1] The company does not report gross margin.  This line item presents our material, supplies, labor and other production costs (exclusive of depreciation and amortization shown separately) under an alternative presentation.

[2] Included in Materials, supplies, labor and other production costs (exclusive of depreciation and amortization shown separately).