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Revenue (Details) $ in Millions | 12 Months Ended
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Dec. 31, 2022 USD ($) source | Jan. 01, 2022 USD ($) | Jan. 02, 2021 USD ($)
Revenue from Contract with Customer [Abstract] |  |  |
Number of Revenue Sources | source | 2 |  |
Revenue recognized | $ | $ 168.4 | $ 95.3 | $ 54.0

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- Definition Number of Revenue Sources + References No definition available. + Details
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Namespace Prefix: | dar_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Definition Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 8 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045 + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | credit
Period Type: | duration

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- References No definition available. + Details
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