Debt Instruments, Number of Instruments

No definition available.

Name:	mlkn_DebtInstrumentsNumberOfInstruments
Namespace Prefix:	mlkn_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

- Definition

Face (par) amount of debt instrument at time of issuance.

+ References

+ Details

Name:	us-gaap_DebtInstrumentFaceAmount
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- 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.

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+ Details

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

- Definition

Amount of the required periodic payments applied to principal.

+ References

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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Period of time between issuance and maturity of debt instrument, in PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of borrowings classified as other, maturing within one year or the normal operating cycle, if longer.

+ References

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Balance Type:	credit
Period Type:	instant

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_DebtInstrumentAxis=mlkn_TermLoanADueJuly2026Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_DomesticLineOfCreditMember
Namespace Prefix:
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Balance Type:
Period Type:

Short-Term Borrowings and Long-Term Debt - Additional Information (Details)	1 Months Ended	3 Months Ended
	Jul. 31, 2021 USD ($) loan	Sep. 02, 2023 USD ($)	Jun. 03, 2023 USD ($)	Jun. 30, 2021 USD ($)
Debt Instrument [Line Items]
Supplier financing program		$ 2,400,000	$ 2,100,000
Private Placement Notes \| Notes
Debt Instrument [Line Items]
Number of debt instruments \| loan	2
Term Loan A, due July 2026
Debt Instrument [Line Items]
Periodic principal payment		5,000,000
Term Loan A, due July 2026 \| Secured Debt
Debt Instrument [Line Items]
Debt instrument, term	5 years
Debt instrument, face amount	$ 400,000,000
Term Loan B, due July 2028
Debt Instrument [Line Items]
Periodic principal payment		$ 1,600,000
Term Loan B, due July 2028 \| Secured Debt
Debt Instrument [Line Items]
Debt instrument, term	7 years
Debt instrument, face amount	$ 625,000,000
Syndicated line of credit
Debt Instrument [Line Items]
Syndicated revolving line of credit borrowing capacity	$ 725,000,000			$ 500,000,000