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Operating Segments (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Feb. 28, 2015
Mar. 01, 2014
Feb. 28, 2015
Mar. 01, 2014
May 31, 2014
Segment Reporting Information          
Net Sales: $ 516.4us-gaap_SalesRevenueNet $ 455.9us-gaap_SalesRevenueNet $ 1,591.5us-gaap_SalesRevenueNet $ 1,394.5us-gaap_SalesRevenueNet  
Depreciation and Amortization: 13.4us-gaap_DepreciationDepletionAndAmortization 10.7us-gaap_DepreciationDepletionAndAmortization 38.6us-gaap_DepreciationDepletionAndAmortization 32.3us-gaap_DepreciationDepletionAndAmortization  
Operating Earnings (Loss): 37.4us-gaap_OperatingIncomeLoss 34.1us-gaap_OperatingIncomeLoss 126.3us-gaap_OperatingIncomeLoss (51.9)us-gaap_OperatingIncomeLoss  
Capital Expenditures: 16.5us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 12.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 43.2us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 32.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment  
Total Assets: 1,192.8us-gaap_Assets   1,192.8us-gaap_Assets   990.9us-gaap_Assets
Total Goodwill: 303.7us-gaap_Goodwill   303.7us-gaap_Goodwill   228.2us-gaap_Goodwill
North American Furniture Solutions          
Segment Reporting Information          
Net Sales: 296.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
293.9us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
932.4us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
909.2us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Depreciation and Amortization: 7.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
7.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
21.4us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
20.8us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Operating Earnings (Loss): 26.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
26.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
95.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
(58.3)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Capital Expenditures: 8.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
7.1us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
23.7us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
22.3us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
 
Total Assets: 512.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_NorthAmericaFurnitureSolutionsMember
  512.9us-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: 97.3us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
97.9us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
307.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
282.6us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Depreciation and Amortization: 1.9us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
1.8us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
6.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
5.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Operating Earnings (Loss): 6.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
4.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
19.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
12.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Capital Expenditures: 7.3us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
3.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
13.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
5.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
 
Total Assets: 236.2us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  236.2us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  244.8us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
Total Goodwill: 41.9us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  41.9us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
  42.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ELAFurnitureSolutionsMember
Specialty          
Segment Reporting Information          
Net Sales: 50.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
47.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
160.5us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
152.7us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Depreciation and Amortization: 1.9us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
1.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
5.4us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
4.9us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Operating Earnings (Loss): 1.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
(0.2)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
7.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
(7.3)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Capital Expenditures: 0.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
1.9us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
2.8us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
4.1us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
 
Total Assets: 154.1us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_SpecialtyMember
  154.1us-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: 72.6us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
16.6us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
191.6us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
50.0us-gaap_SalesRevenueNet
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Depreciation and Amortization: 2.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
5.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0.9us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Operating Earnings (Loss): 4.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
3.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
8.4us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
5.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Capital Expenditures: 0.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
3.1us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
 
Total Assets: 221.4us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= mlhr_ConsumerMember
  221.4us-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
0.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
 
Operating Earnings (Loss): (2.0)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(0.9)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(4.6)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
(5.1)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: 68.2us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_AllOtherSegmentsMember
  68.2us-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