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SALE OF ACCOUNTS RECEIVABLE (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 28, 2019	Sep. 29, 2018	Sep. 28, 2019	Sep. 29, 2018	Dec. 29, 2018
Receivables [Abstract]
Maximum amount of accounts receivable sold at any point in time (up to)	$ 377.5		$ 377.5
Sale of accounts receivable			758.0	$ 777.3
Accounts receivable removed related to sale of accounts receivable	172.1	$ 263.5	172.1	263.5	$ 544.9
Funding fee	$ 1.2	$ 1.2	$ 4.1	$ 3.6

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