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Summary Of Significant Accounting Policies - Additional Information (Detail) |  |  |  | 3 Months Ended | 4 Months Ended | 12 Months Ended |
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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 |

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