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Acquisitions (Details) € in Billions |  |  | 3 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | ---
Oct. 01, 2014 USD ($) | Jan. 07, 2014 USD ($) brand continent | Jan. 07, 2014 EUR (€) | Dec. 28, 2013 USD ($) | Dec. 31, 2016 USD ($) | Jan. 02, 2016 USD ($) | Jan. 03, 2015 USD ($) | Jan. 02, 2014 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Issuance of common stock |  |  |  |  | $ 2,805,000 | $ 3,670,000 | $ 8,612,000 |
Goodwill |  |  |  |  | 1,225,893,000 | 1,233,102,000 | 1,320,419,000 |
Payments to Acquire Businesses, Net of Cash Acquired |  |  |  |  | 8,511,000 | 377,000 | 2,094,400,000 |
Feed Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 797,707,000 | 796,883,000 | 847,594,000 |
Food Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | 317,008,000 | 323,385,000 | 346,153,000 |
Fuel Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 111,178,000 | 112,834,000 | 126,672,000 |
Vion Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Business Combination Provisional Information Initial Accounting Incomplete Adjustment Working Capital |  |  |  |  |  |  | 84,000,000 |
Business Combination, Consideration Transferred |  | $ 2,200,000,000 | € 1.6 |  |  |  |  |
Foreign Currency Exchange Rate, Translation |  | 1.3605 |  |  |  |  |  |
Goodwill |  | $ 702,672,000 |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory |  | $ 375,306,000 |  |  |  |  |  |
Business Combination, Goodwill Deductible for Tax Purposes, Percent |  | 33.00% |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Property plant and equipment |  | $ 981,009,000 |  |  |  |  |  |
Deferred tax liability |  | $ 350,003,000 |  |  |  |  |  |
Number of Continents in which Entity Operates | continent |  | 5 |  |  |  |  |  |
Number of Brands Entity Operates | brand |  | 6 |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents |  | $ 91,200,000 |  |  |  |  |  |
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Property, Plant, and Equipment |  |  |  |  |  |  | 27,300,000 |
Business Combination, Provisional Information, Initial Accounting Incomplete, Adjustment, Intangibles |  |  |  |  |  |  | 17,600,000 |
Business Combination Provisional Information Initial Accounting Incomplete Adjustment Goodwill |  |  |  |  |  |  | 72,100,000 |
Business Combination Provisional Information Initial Accounting Incomplete Adjustment Other |  |  |  |  |  |  | $ 27,000,000 |
Vion Ingredients [Member] | Routes [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Acquired finite-lived Intangible assets, weighted-average useful life |  | 10 years | 10 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Identifiable intangibles |  | $ 190,200,000 |  |  |  |  |  |
Vion Ingredients [Member] | Permits [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Acquired finite-lived Intangible assets, weighted-average useful life |  | 15 years | 15 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Identifiable intangibles |  | $ 225,600,000 |  |  |  |  |  |
Vion Ingredients [Member] | Patents and Other Intangibles [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Acquired finite-lived Intangible assets, weighted-average useful life |  | 25 years | 25 years |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Identifiable intangibles |  | $ 16,500,000 |  |  |  |  |  |
Vion Ingredients [Member] | Feed Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  | 223,200,000 |  |  |  |  |  |
Vion Ingredients [Member] | Food Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  | 375,600,000 |  |  |  |  |  |
Vion Ingredients [Member] | Fuel Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill |  | 103,800,000 |  |  |  |  |  |
CustomBlendersCompany [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Goodwill | $ 5,200,000 |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory | $ 1,000,000 |  |  |  |  |  |  |
Acquired finite-lived Intangible assets, weighted-average useful life | 14 years |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired | $ 18,800,000 |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |  |  |
Property plant and equipment | 3,200,000 |  |  |  |  |  |  |
Identifiable intangibles | 8,600,000 |  |  |  |  |  |  |
Business Combination, Contingent Consideration, Asset | $ 800,000 |  |  |  |  |  |  |
Goodwill, Period Increase (Decrease) |  |  |  |  |  | $ 500,000 |  |
Common Stock [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Issuance of common stock |  |  |  | $ 874,000,000 |  |  |  |
Senior Notes [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Face amount of debt insturment |  |  |  |  |  |  |  | $ 500,000,000
Trademarks and Trade Names [Member] | Vion Ingredients [Member] |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Indefinite-Lived Intangible Assets |  | $ 32,000,000 |  |  |  |  |  |

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