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ACCOUNTS RECEIVABLE (Details) - USD ($) $ in Millions | 3 Months Ended |  |
--- | --- | --- | ---
Apr. 03, 2021 | Mar. 28, 2020 | Jan. 02, 2021 | Apr. 01, 2019
Receivables [Abstract] |  |  |  |
Maximum amount of accounts receivable sold at any point in time (up to) |  |  |  | $ 377.5
Sale of accounts receivable | $ 370.5 | $ 220.5 |  |
Accounts receivable removed related to sale of accounts receivable | 242.1 | 164.4 | $ 127.1 |
Funding fee | $ 0.6 | $ 0.8 |  |

X
- Definition Total reduction in Accounts Receivable attributable to accounts receivable sold to third parties. + References No definition available. + Details
Name: | ktb_AccountsReceivableReductionRelatedToAccountsReceivableSoldToThirdParties
Namespace Prefix: | ktb_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Total accounts receivable sold, at their stated amounts, during the period. + References No definition available. + Details
Name: | ktb_AccountsReceivableSoldGross
Namespace Prefix: | ktb_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition The maximum amount of accounts receivable under the contract with the financial institution that can be sold to a third-party at any point in time. + References No definition available. + Details
Name: | ktb_MaximumAmountOfAccountsReceivableSoldAtAnyPointInTime
Namespace Prefix: | ktb_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Total funding fee charged by third parties during the period, representing the cost of the sale of accounts receivable program. + References No definition available. + Details
Name: | ktb_SaleOfAccountsReceivableProgramFee
Namespace Prefix: | ktb_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- References No definition available. + Details
Name: | us-gaap_ReceivablesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration