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Commitments and Contingencies - Guarantee (Details) (USD $) In Millions, unless otherwise specified | 9 Months Ended
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Mar. 01, 2014
Financial Standby Letter of Credit [Member] |
Guarantor Obligations [Line Items] |
Guarantor Obligations, Maximum Exposure, Undiscounted | $ 7.3
Line of Credit Facility, Amount Outstanding | 7.3
Performance Guarantee [Member] |
Guarantor Obligations [Line Items] |
Guarantor Obligations, Maximum Exposure, Undiscounted | $ 9.8
Minimum [Member] | Performance Guarantee [Member] |
Guarantor Obligations [Line Items] |
Guarantor Obligations, Period | 1 year
Maximum [Member] | Performance Guarantee [Member] |
Guarantor Obligations [Line Items] |
Guarantor Obligations, Period | 3 years

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- Definition Guarantor Obligations, Period + References No definition available. + Details
Name: | mlhr_GuarantorObligationsPeriod
Namespace Prefix: | mlhr_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_GuaranteeObligationsLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- 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://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 460 -SubTopic 10 -Section 50 -Paragraph 4 -Subparagraph (b)(1) -URI http://asc.fasb.org/extlink&oid=6851643&loc=d3e12069-110248 + Details
Name: | us-gaap_GuaranteeObligationsMaximumExposure
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount borrowed under the credit facility as of the balance sheet date. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 02 -Paragraph 19, 22 -Article 5 + Details
Name: | us-gaap_LineOfCreditFacilityAmountOutstanding
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant