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LEASES - Additional Information (Details) - USD ($) $ in Millions |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | ---
Sep. 29, 2019 | Sep. 29, 2018 | Sep. 29, 2018 | Sep. 28, 2019
Lessee, Lease, Description [Line Items] |  |  |  |
Short term lease, excluded from recognition | 12 months |  |  |
Rent expense |  | $ 10.6 | $ 31.8 |
Lease not yet commenced |  |  |  | $ 1.1
Real Estate | Minimum |  |  |  |
Lessee, Lease, Description [Line Items] |  |  |  |
Term of contract |  |  |  | 2 years
Real Estate | Maximum |  |  |  |
Lessee, Lease, Description [Line Items] |  |  |  |
Term of contract |  |  |  | 15 years
Equipment | Minimum |  |  |  |
Lessee, Lease, Description [Line Items] |  |  |  |
Term of contract |  |  |  | 3 years
Equipment | Maximum |  |  |  |
Lessee, Lease, Description [Line Items] |  |  |  |
Term of contract |  |  |  | 7 years

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- Definition Lessee, Operating Lease, Lease Not Yet Commenced, Undiscounted Amount + References No definition available. + Details
Name: | ktb_LesseeOperatingLeaseLeaseNotYetCommencedUndiscountedAmount
Namespace Prefix: | ktb_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Short Term Lease, Excluded From Recognition + References No definition available. + Details
Name: | ktb_ShortTermLeaseExcludedFromRecognition
Namespace Prefix: | ktb_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of rent expense incurred for leased assets, including but not limited to, furniture and equipment, that is not directly or indirectly associated with the manufacture, sale or creation of a product or product line. + References No definition available. + Details
Name: | us-gaap_LeaseAndRentalExpense
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_LesseeLeaseDescriptionLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Term of lessee's operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 50 -Paragraph 3 -Subparagraph (a)(3) -URI http://asc.fasb.org/extlink&oid=77888426&loc=SL77918673-209980 + Details
Name: | us-gaap_LesseeOperatingLeaseTermOfContract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | instant

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- Details
Name: | us-gaap_PropertyPlantAndEquipmentByTypeAxis=us-gaap_LandAndBuildingMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MinimumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_RangeAxis=srt_MaximumMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_PropertyPlantAndEquipmentByTypeAxis=us-gaap_EquipmentMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |