Summary Of Significant Accounting Policies - Additional Information (Detail)				3 Months Ended				4 Months Ended	12 Months Ended
	Mar. 09, 2021 USD ($)	Sep. 28, 2016 USD ($)	Apr. 03, 2012 USD ($)	Oct. 08, 2022 USD ($)	Apr. 03, 2022 USD ($)	Jan. 02, 2021 USD ($)	Jul. 11, 2020 USD ($) Bakery	Apr. 23, 2022 USD ($)	Dec. 31, 2022 USD ($) Segment	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($) Bakery	Jul. 16, 2022 USD ($)
Significant Accounting Policies [Line Items]
Sales									$ 4,805,822,000	$ 4,330,767,000	$ 4,387,991,000
Deferred gain on sale of assets held for sale									15,100,000	19,700,000
Net gain on sale of distribution rights									3,800,000	1,600,000	5,100,000
Loss of repurchase obligations of distribution rights related to a legal settlement										4,700,000
Capitalized interest						$ 0			$ 0	0	0
Lessee, operating lease, existence of residual value guarantees									false
Lessee, operating lease, residual value guarantees, description									Additionally, these contracts do not contain residual value guarantees, and there are no other restrictions or covenants in the contracts.
Financing ROU assets									$ 1,778,000	3,476,000
Financing right-of-use lease liabilities									1,895,000
Gain on termination of embedded leases									$ (6,035,000)	(41,610,000)
Number of operating segments | Segment									1
Restructuring and related impairment charges									$ 0	0	$ 23,627,000
Number of closed bakeries reclassified as held for sale | Bakery							3				3
Impairment charges assets held for sale						1,300,000					$ 23,627,000
Proceeds from sale of assets held for sale										2,200,000
Gain at time of sale										900,000
Goodwill impairment loss									0	0	0
Advertising and marketing costs									74,600,000	77,700,000	60,400,000
Capitalized software development costs									14,500,000	21,100,000
Amortization expense of capitalized software development costs									10,200,000	9,900,000	9,300,000
Debt instrument face amount									900,000,000	900,000,000
Research and development costs									6,100,000	5,600,000	4,000,000.0
Consulting costs related to transformation strategy									33,200,000	31,300,000
Multi-employer pension plan withdrawal costs										3,300,000
Impairment charge					$ 1,000,000.0			$ 1,000,000.0
Acquisition related costs				$ 11,600,000					900,000
Realized foreign currency exchange losses				8,400,000
Investment in unconsolidated affiliate									9,000,000			$ 9,000,000.0
2031 Notes
Significant Accounting Policies [Line Items]
Debt instrument face amount	$ 500,000,000.0								500,000,000	500,000,000
Debt instrument discount and issuance cost amortization period	10 years
2026 Notes
Significant Accounting Policies [Line Items]
Debt instrument face amount		$ 400,000,000.0							$ 400,000,000	400,000,000
Debt instrument discount and issuance cost amortization period		10 years
4.375% Senior Notes Due 2022
Significant Accounting Policies [Line Items]
Debt instrument face amount			$ 400,000,000.0
Debt instrument discount and issuance cost amortization period			10 years
Impairment of Trademark
Significant Accounting Policies [Line Items]
Impairment charge						1,300,000	$ 4,600,000
Bakeries
Significant Accounting Policies [Line Items]
Impairment charges assets held for sale							5,700,000				5,700,000
Line Closures and Office Building
Significant Accounting Policies [Line Items]
Impairment charges assets held for sale											600,000
Spare Parts
Significant Accounting Policies [Line Items]
Impairment charges assets held for sale							$ 700,000				700,000
Holsum Bakery
Significant Accounting Policies [Line Items]
Impairment charges assets held for sale				3,800,000
Severance costs				1,700,000
Multi-employer pension plan withdrawal costs				1,300,000
Bakery Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									less than a year up to seven years
Impairment charges assets held for sale				$ 2,900,000
Transportation Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									less than one year up to seven years
IT Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									less than a year up to five years
Certain Equipment and IT Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									shorter than a year
Buildings and Land
Significant Accounting Policies [Line Items]
Lessee, operating lease, existence of residual value guarantees									false
Lessee, operating lease, residual value guarantees, description									Additionally, these contracts do not contain residual value guarantees, and there are no other restrictions or covenants in the contracts.
Short Term Leases
Significant Accounting Policies [Line Items]
Lessee, operating lease, existence of residual value guarantees									false
Lessee, operating lease, residual value guarantees, description									do not contain residual value guarantees, and there are no other restrictions or covenants in the leases.
Lessee, operating lease, purchase options									false
Lessee, operating lease, option to extend, description									There are no purchase options present, however, there generally are renewals that could extend lease terms for additional periods.
Embedded Financing Truck And Trailer Leases
Significant Accounting Policies [Line Items]
Financing ROU assets						0					0
Financing right-of-use lease liabilities						$ 0					0
Gain on termination of embedded leases									$ 4,100,000
Embedded Financing I T Equipment
Significant Accounting Policies [Line Items]
Financing ROU assets									1,400,000	3,000,000.0
Financing right-of-use lease liabilities									$ 1,500,000	3,000,000.0
Minimum
Significant Accounting Policies [Line Items]
Lessee, operating lease term									1 year
Lessee, operating lease renewal term									1 month
Finite-lived intangible asset amortization periods									2 years
Minimum | Trademarks
Significant Accounting Policies [Line Items]
Finite-lived intangible asset amortization periods									5 years
Minimum | Short Term Leases
Significant Accounting Policies [Line Items]
Lessee, operating lease term									1 month
Minimum | Capitalized Software Development Costs
Significant Accounting Policies [Line Items]
Estimated useful life, years									3 years
Maximum
Significant Accounting Policies [Line Items]
Lessee, operating lease term									22 years
Lessee, operating lease renewal term									10 years
Finite-lived intangible asset amortization periods									40 years
Maximum | Trademarks
Significant Accounting Policies [Line Items]
Finite-lived intangible asset amortization periods									40 years
Maximum | Bakery Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									7 years
Maximum | Transportation Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									7 years
Maximum | IT Equipment
Significant Accounting Policies [Line Items]
Lessee, operating lease term									5 years
Maximum | Short Term Leases
Significant Accounting Policies [Line Items]
Lessee, operating lease term									12 months
Maximum | Capitalized Software Development Costs
Significant Accounting Policies [Line Items]
Estimated useful life, years									8 years
Direct Financing To Distributor | Maximum
Significant Accounting Policies [Line Items]
Notes receivable maturity period									10 years
Shipping costs
Significant Accounting Policies [Line Items]
Shipping costs									$ 1,169,000,000.0	$ 1,063,600,000	$ 1,075,800,000
Customer Concentration Risk | Outstanding Trade Receivables | Wal-Mart/Sam's Club
Significant Accounting Policies [Line Items]
Concentration risk percentage									24.30%	19.80%
Customer Concentration Risk | Total year to date sales | Top 10 Customers
Significant Accounting Policies [Line Items]
Concentration risk percentage									54.50%	53.70%	53.60%
Customer Concentration Risk | Total year to date sales | Wal-Mart/Sam's Club
Significant Accounting Policies [Line Items]
Concentration risk percentage									21.70%	21.20%	21.20%
Scan-Based Trading
Significant Accounting Policies [Line Items]
Sales									$ 2,400,000,000	$ 2,200,000,000	$ 2,300,000,000