Total reduction in Accounts Receivable attributable to accounts receivable sold to third parties.

No definition available.

Name:	ktb_AccountsReceivableReductionRelatedToAccountsReceivableSoldToThirdParties
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Total accounts receivable sold, at their stated amounts, during the period.

No definition available.

Name:	ktb_AccountsReceivableSoldGross
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

Interest In Transferred Financial Assets

No definition available.

Name:	ktb_InterestInTransferredFinancialAssets
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

Maximum Amount Of Accounts Receivable Additional Incremental Commitment

No definition available.

Name:	ktb_MaximumAmountOfAccountsReceivableAdditionalIncrementalCommitment
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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.

No definition available.

Name:	ktb_MaximumAmountOfAccountsReceivableSoldAtAnyPointInTime
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

Total funding fee charged by third parties during the period, representing the cost of the sale of accounts receivable program.

No definition available.

Name:	ktb_SaleOfAccountsReceivableProgramFee
Namespace Prefix:	ktb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

No definition available.

Name:	us-gaap_ReceivablesAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

ACCOUNTS RECEIVABLE - Narrative (Details) $ in Millions, $ in Millions	12 Months Ended
	Jan. 03, 2026 USD ($)	Dec. 28, 2024 USD ($)	Dec. 30, 2023 USD ($)	Dec. 31, 2025 USD ($)	Dec. 12, 2025 USD ($)	Dec. 12, 2025 CAD ($)
Receivables [Abstract]
Maximum amount of accounts receivable sold at any point in time	$ 377.5				$ 60.0	$ 20.0
Increase the commitment by an additional					$ 20.0	$ 10.0
Deferred purchase price				$ 2.9
Sale of accounts receivable	1,500.0	$ 1,400.0	$ 1,400.0
Decrease in receivables related to balances sold	261.4	178.2
Funding fee	$ 10.0	$ 11.7	$ 12.0