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Commitments and Contingencies Commitments and Contingencies - Additional (Details) - USD ($)	9 Months Ended
	Mar. 02, 2019	Jun. 02, 2018
Loss Contingencies [Line Items]
Warranty Length	12 years
Contingent Equity Method Purchase	33.00%
Performance Guarantee
Loss Contingencies [Line Items]
Guarantor Obligations, Current Carrying Value	$ 0	$ 0
Financial Standby Letter of Credit
Loss Contingencies [Line Items]
Guarantor Obligations, Current Carrying Value	$ 0	$ 0
Minimum | Performance Guarantee
Loss Contingencies [Line Items]
Guarantor Obligations, Term	P1Y
Maximum | Performance Guarantee
Loss Contingencies [Line Items]
Guarantor Obligations, Term	P3Y

X

- Definition

Contingent Equity Method Purchase

+ References

No definition available.

+ Details

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Balance Type:	na
Period Type:	duration

X

- Definition

Product Warranty Period

+ References

No definition available.

+ Details

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Namespace Prefix:	mlhr_
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Balance Type:	na
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X

- Definition

The current carrying amount of the liability for the freestanding or embedded guarantor's obligations under the guarantee or each group of similar guarantees.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (c)
-URI http://asc.fasb.org/extlink&oid=115931803&loc=d3e12069-110248

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	credit
Period Type:	instant

X

- Definition

Describe the approximate term of the guarantee or each group of similar guarantees.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 4
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=115931803&loc=d3e12069-110248

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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- Details

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- Details

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- Details

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