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Acquisitions and Divestitures - Finite-Lived and Indefinite-Lived Intangible Assets Acquired as Part of Business Combination (Details) (USD $)
In Millions, unless otherwise specified
6 Months Ended 4 Months Ended
Nov. 29, 2014
Nov. 29, 2014
Business Acquisition    
Trade Names and Trademarks $ 55.1us-gaap_IndefinitelivedIntangibleAssetsAcquired  
Design Within Reach    
Business Acquisition    
Total Intangible Assets Acquired 69.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
69.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
Exclusive Distribution Agreements | Design Within Reach    
Business Acquisition    
Finite-lived Intangible Assets Acquired   0.2us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= mlhr_ExclusiveDistributionAgreementsMember
Finite-Lived Intangible Asset, Useful Life   1 year 6 months
Customer Relationships | Design Within Reach    
Business Acquisition    
Finite-lived Intangible Assets Acquired   12.8us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Product Development Designs | Design Within Reach    
Business Acquisition    
Finite-lived Intangible Assets Acquired   1.2us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= mlhr_ProductDevelopmentDesignsMember
Finite-Lived Intangible Asset, Useful Life   7 years
Trade Names | Design Within Reach    
Business Acquisition    
Trade Names and Trademarks   $ 55.1us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_BusinessAcquisitionAxis
= mlhr_DesignWithinReachMember
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember