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Employee Benefit Plans - Profit Sharing and 401(k) Plan (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jun. 01, 2013	Jun. 02, 2012	May 28, 2011
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Deferred Compensation Arrangement with Individual, Cash Awards Granted, Maximum Percentage	6.00%
Deferred compensation plan	$ 0	$ 0.1	$ 0
Defined Contribution Plan, Employer Matching Contribution, Percent	100.00%
Defined Contribution Plan, Maximum Annual Contribution Per Employee, Percent	3.00%
Defined Contribution Plan, Cost Recognized	17.0	6.8	2.0
Deferred Profit Sharing [Member]
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Defined Contribution Plan, Employer Discretionary Contribution Amount	$ 5.3	$ 3.4	$ 7.7

X

- Definition

Deferred Compensation Arrangement with Individual, Cash Awards Granted, Maximum Percentage

+ References

No definition available.

+ Details

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Namespace Prefix:	mlhr_
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Balance Type:	na
Period Type:	duration

X

- Definition

The compensation expense recognized during the period pertaining to the deferred compensation arrangement.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 1

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5047-113901



Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 710

-SubTopic 10

-Section 30

-Paragraph 1

-URI http://asc.fasb.org/extlink&oid=6409875&loc=d3e20015-108363

+ Details

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- Details

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Namespace Prefix:	us-gaap_
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Period Type:	duration

X

- Definition

The amount of the cost recognized during the period for defined contribution plans.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 715

-SubTopic 70

-Section 50

-Paragraph 1

-URI http://asc.fasb.org/extlink&oid=6414718&loc=d3e28014-114942

+ Details

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X

- Definition

Amount of discretionary contributions made by an employer to a defined contribution plan.

+ References

No definition available.

+ Details

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X

- Definition

Percentage of employees' gross pay for which the employer contributes a matching contribution to a defined contribution plan.

+ References

No definition available.

+ Details

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X

- Definition

Maximum percentage of employee gross pay the employee may contribute to a defined contribution plan.

+ References

No definition available.

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