Debt - Revolving Credit Facility/Term Loan (Details) - Bank of America, N.A., and Wells Fargo Bank, N.A. [Member] - Revolving Credit Facility	3 Months Ended
Aug. 01, 2020 USD ($)
Debt Instrument [Line Items]
Credit Agreement terminates	2023-09
Borrowing capacity, increase limit	$ 200,000,000.0
Interest rate (as a percent)	1.67%
Line of credit
Debt Instrument [Line Items]
Maximum borrowing capacity	$ 200,000,000.0
Term loan
Debt Instrument [Line Items]
Maximum borrowing capacity	$ 250,000,000.0
Periodic payment, principal, proportion of total borrowing (as a percent)	1.25%
Periodic payment, principal	$ 3,100,000

Line of credit facility periodic payment principal percentage of borrowing.

No definition available.

Name:	mei_LineOfCreditFacilityPeriodicPaymentPrincipalPercentageOfBorrowing
Namespace Prefix:	mei_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Line of credit facility termination month and year.

+ References

No definition available.

+ Details

Name:	mei_LineOfCreditFacilityTerminationMonthAndYear
Namespace Prefix:	mei_
Data Type:	xbrli:gYearMonthItemType
Balance Type:	na
Period Type:	duration

- Definition

Line of Credit Facility, Accordion Feature, Increase Limit

+ References

No definition available.

+ Details

Name:	mei_LineofCreditFacilityAccordionFeatureIncreaseLimit
Namespace Prefix:	mei_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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

- Definition

The effective interest rate at the end of the reporting period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.19(b),22(b))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

Name:	us-gaap_LineOfCreditFacilityInterestRateAtPeriodEnd
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Amount of the required periodic payment applied to principal.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityPeriodicPaymentPrincipal
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_LineOfCreditFacilityAxis=mei_BankofAmericaNAAndWellsFargoBankNAMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_CreditFacilityAxis=us-gaap_RevolvingCreditFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=us-gaap_LineOfCreditMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=mei_TermLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: