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Commitments and Contingencies - Additional Information (Details) - USD ($)	6 Months Ended
	Dec. 03, 2022	May 28, 2022
Performance Guarantee
Loss Contingencies [Line Items]
Guarantor obligations, maximum exposure, undiscounted	$ 8,100,000
Guarantor obligations, carrying value	$ 0	$ 0
Performance Guarantee | Minimum
Loss Contingencies [Line Items]
Guarantor obligations, term	1 year
Performance Guarantee | Maximum
Loss Contingencies [Line Items]
Guarantor obligations, term	3 years
Financial Standby Letter of Credit
Loss Contingencies [Line Items]
Guarantor obligations, maximum exposure, undiscounted	$ 14,100,000
Guarantor obligations, carrying value	$ 0	$ 0

X

- Definition

Guarantee Obligations, Term1

+ References

No definition available.

+ Details

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Namespace Prefix:	mlkn_
Data Type:	xbrli:durationItemType
Balance Type:	na
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X

- Definition

The current carrying amount of the liability for the freestanding or embedded guarantor's obligations under the guarantee or each group of similar guarantees.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (c)
-URI https://asc.fasb.org/extlink&oid=124440162&loc=d3e12069-110248

+ Details

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X

- Definition

Maximum potential amount of future payments (undiscounted) the guarantor could be required to make under the guarantee or each group of similar guarantees before reduction for potential recoveries under recourse or collateralization provisions.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (b)(1)
-URI https://asc.fasb.org/extlink&oid=124440162&loc=d3e12069-110248

+ Details

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X

- 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

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- Details

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