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Operating Segments (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Nov. 29, 2014
Nov. 30, 2013
Nov. 29, 2014
Nov. 30, 2013
May 31, 2014
Segment Reporting Information          
Net Sales: $ 565.4us-gaap_SalesRevenueNet $ 470.5us-gaap_SalesRevenueNet $ 1,075.1us-gaap_SalesRevenueNet $ 938.6us-gaap_SalesRevenueNet  
Depreciation and Amortization: 13.2us-gaap_DepreciationDepletionAndAmortization 10.5us-gaap_DepreciationDepletionAndAmortization 25.2us-gaap_DepreciationDepletionAndAmortization 21.6us-gaap_DepreciationDepletionAndAmortization  
Operating Earnings: 46.7us-gaap_OperatingIncomeLoss (125.2)us-gaap_OperatingIncomeLoss 88.9us-gaap_OperatingIncomeLoss (86.1)us-gaap_OperatingIncomeLoss  
Capital Expenditures: 18.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 13.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 26.7us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 20.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment  
Total Assets: 1,193.9us-gaap_Assets   1,193.9us-gaap_Assets   990.9us-gaap_Assets
Total Goodwill: 303.9us-gaap_Goodwill   303.9us-gaap_Goodwill   228.2us-gaap_Goodwill
North American Furniture Solutions          
Segment Reporting Information          
Net Sales: 315.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
297.1us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
636.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
615.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Depreciation and Amortization: 7.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
7.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
14.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
14.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Operating Earnings: 32.3us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
(119.0)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
68.5us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
(85.0)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Capital Expenditures: 11.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
10.8us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
15.7us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
15.3us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Total Assets: 509.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
  509.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
  457.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
Total Goodwill: 135.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
  135.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
  135.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
ELA Furniture Solutions          
Segment Reporting Information          
Net Sales: 114.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
103.1us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
209.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
184.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Depreciation and Amortization: 2.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
1.4us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
4.4us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
3.4us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Operating Earnings: 10.4us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
8.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
13.5us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
8.1us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Capital Expenditures: 4.4us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
1.2us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
6.3us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
2.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Total Assets: 238.4us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  238.4us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  244.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
Total Goodwill: 42.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  42.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  42.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
Specialty          
Segment Reporting Information          
Net Sales: 55.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
53.2us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
110.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
105.2us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Depreciation and Amortization: 1.8us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
1.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
3.5us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
3.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Operating Earnings: 2.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
(8.9)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
5.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
(7.1)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Capital Expenditures: 1.1us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
1.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
2.2us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
2.1us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Total Assets: 155.7us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
  155.7us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
  157.7us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
Total Goodwill: 49.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
  49.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
  49.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
Consumer          
Segment Reporting Information          
Net Sales: 80.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
17.1us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
119.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
33.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Depreciation and Amortization: 2.1us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
3.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0.5us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Operating Earnings: 1.5us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
(1.3)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
3.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
2.1us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Capital Expenditures: 1.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
2.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Total Assets: 219.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
  219.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
  18.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
Total Goodwill: 76.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
  76.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
  0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
Corporate          
Segment Reporting Information          
Net Sales: 0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Depreciation and Amortization: 0.1us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0.1us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Operating Earnings: (0.3)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(4.2)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(2.6)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(4.2)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Capital Expenditures: 0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Total Assets: 71.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
  71.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
  112.6us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
Total Goodwill: $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
  $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
  $ 0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember