v3.25.4

Fair Value Measurements - Schedule of Changes in Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Nov. 29, 2025 | Nov. 30, 2024 | Nov. 29, 2025 | Nov. 30, 2024
Redeemable Noncontrolling Interest [Roll Forward] |  |  |  |
Beginning Balance |  |  | $ 59.3 |
Net income attributable to redeemable noncontrolling interests | $ 1.0 | $ 1.1 | 1.9 | $ 1.8
Ending Balance | 63.1 |  | 63.1 |
HAY |  |  |  |
Redeemable Noncontrolling Interest [Roll Forward] |  |  |  |
Beginning Balance |  |  | 59.3 | 73.9
Net income attributable to redeemable noncontrolling interests |  |  | 1.9 | 1.8
Cumulative translation adjustments attributable to redeemable noncontrolling interests |  |  | 0.7 | (0.4)
Foreign currency translation adjustments |  |  | 1.2 | (1.9)
Ending Balance | $ 63.1 | $ 73.4 | $ 63.1 | $ 73.4

X
- Definition Redeemable Noncontrolling Interest + References No definition available. + Details
Name: | mlkn_RedeemableNoncontrollingInterestRollForward
Namespace Prefix: | mlkn_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Redeemable Noncontrolling Interests, Cumulative Translation Adjustments Attributable To Redeemable Noncontrolling Interests + References No definition available. + Details
Name: | mlkn_RedeemableNoncontrollingInterestsCumulativeTranslationAdjustmentsAttributableToRedeemableNoncontrollingInterests
Namespace Prefix: | mlkn_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Redeemable Noncontrolling Interests, Impact Of Foreign Currency Translation + References No definition available. + Details
Name: | mlkn_RedeemableNoncontrollingInterestsImpactOfForeignCurrencyTranslation
Namespace Prefix: | mlkn_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Amount of Net Income (Loss) attributable to redeemable noncontrolling interest. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 220 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03(19)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2 + Details
Name: | us-gaap_NetIncomeLossAttributableToRedeemableNoncontrollingInterest
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition As of the reporting date, the aggregate carrying amount of all noncontrolling interests which are redeemable by the (parent) entity (1) at a fixed or determinable price on a fixed or determinable date, (2) at the option of the holder of the noncontrolling interest, or (3) upon occurrence of an event that is not solely within the control of the (parent) entity. This item includes noncontrolling interest holder's ownership (or holders' ownership) regardless of the type of equity interest (common, preferred, other) including all potential organizational (legal) forms of the investee entity. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 480 -SubTopic 10 -Name Accounting Standards Codification -Section S45 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479887/480-10-S45-2 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 480 -SubTopic 10 -Name Accounting Standards Codification -Section S50 -Paragraph 3 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479857/480-10-S50-3 Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 480 -SubTopic 10 -Name Accounting Standards Codification -Section S45 -Paragraph 3 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479887/480-10-S45-3 Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 480 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 3A -Subparagraph (24) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480244/480-10-S99-3A Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Topic 480 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (01)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480244/480-10-S99-1 + Details
Name: | us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Details
Name: | dei_LegalEntityAxis=mlkn_HAYASMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |