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Summary of Quarterly Results of Operations (Unaudited) - Narrative - Significant Items for Fiscal 2016 (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 28, 2018	Jan. 27, 2018	Oct. 28, 2017	Jul. 29, 2017	Apr. 29, 2017	Jan. 28, 2017	Oct. 29, 2016	Jul. 30, 2016
Hetronic Lawsuit
Segment Reporting Information [Line Items]
Legal Fees	$ 2.1	$ 1.5	$ 1.6	$ 2.9	$ 2.8	$ 1.6	$ 2.3	$ 4.3

X

- Definition

The amount of expense provided in the period for legal costs incurred on or before the balance sheet date pertaining to resolved, pending or threatened litigation, including arbitration and mediation proceedings.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 225
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.3)
-URI http://asc.fasb.org/extlink&oid=63488584&loc=d3e20235-122688

+ Details

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Period Type:	duration

X

- 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

Name:	us-gaap_SegmentReportingInformationLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_LitigationCaseAxis=mei_HetronicLawsuitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: