Debt instrument, increase in revolving commitments.

No definition available.

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

- Definition

Debt instrument, maximum leverage ratio on pro forma basis.

+ References

No definition available.

+ Details

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Namespace Prefix:	mei_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Euro-denominated outstanding borrowings under revolving credit facility.

+ References

No definition available.

+ Details

Name:	mei_EuroDenominatedOutstandingBorrowingsUnderRevolvingCreditFacility
Namespace Prefix:	mei_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Percentage points added to the reference rate to compute the variable rate on the debt instrument.

+ References

No definition available.

+ Details

Name:	us-gaap_DebtInstrumentBasisSpreadOnVariableRate1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- 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

Date when the debt instrument is scheduled to be fully repaid, in YYYY-MM-DD format.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.22(a)(2))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 470
-SubTopic 20
-Section 50
-Paragraph 1B
-Subparagraph (d)
-URI https://asc.fasb.org/extlink&oid=123466505&loc=SL123495323-112611

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-URI https://asc.fasb.org/extlink&oid=126976982&loc=d3e19207-110258

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
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 https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

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Data Type:	dtr-types: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

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

- Definition

The remaining balance of debt issuance expenses that were capitalized and are being amortized against income over the lives of the respective bond issues. This does not include the amounts capitalized as part of the cost of the utility plant or asset.

+ References

No definition available.

+ Details

Name:	us-gaap_UnamortizedDebtIssuanceExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Details

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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

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_LongtermDebtTypeAxis=mei_TermLoanMember
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- Details

Name:	us-gaap_LineOfCreditFacilityAxis=mei_BankOfAmericaNAAdministrativeAgentSwingLineLenderAndLCIssuerAndLendersAndOtherPartiesNamedThereinMember
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Balance Type:
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- Details

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

- Details

Name:	us-gaap_VariableRateAxis=us-gaap_BaseRateMember
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Data Type:	na
Balance Type:
Period Type:

- Details

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Balance Type:
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- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
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- Details

Name:	us-gaap_VariableRateAxis=mei_SecuredOvernightFinancingRateSofrDailyFloatingRateLoansMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_VariableRateAxis=mei_EuroInterbankOfferedRatePlusMember
Namespace Prefix:
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Debt - Revolving Credit Facility/Term Loan (Details)	Oct. 31, 2022 USD ($)	Apr. 29, 2023 USD ($)	Apr. 30, 2022 USD ($)
Debt Instrument [Line Items]
Debt issuance costs	$ 600,000	$ 3,300,000	$ 900,000
Bank of America, N.A., and Wells Fargo Bank, N.A. [Member] \| Revolving Credit Facility
Debt Instrument [Line Items]
Interest rate (as a percent)		5.40%
Nordic Lights \| Revolving Credit Facility
Debt Instrument [Line Items]
Euro-denominated outstanding borrowings under revolving credit facility		$ 145,400,000
Term loan \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Increase in revolving commitments	250,000,000
Line of credit \| Bank of America, N.A., and Wells Fargo Bank, N.A. [Member] \| Revolving Credit Facility
Debt Instrument [Line Items]
Maximum borrowing capacity	$ 750,000,000
Line of credit \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Leverage ratio on pro forma basis	3.00
Credit agreement termination date	Oct. 31, 2027
Debt issuance costs	$ 3,200,000
Line of credit \| Base Rate \| Minimum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	0.375%
Line of credit \| Base Rate \| Maximum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	1.25%
Line of credit \| SOFR Daily Floating Rate Loans \| Minimum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	1.375%
Line of credit \| SOFR Daily Floating Rate Loans \| Maximum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	2.25%
Line of credit \| Euro Interbank Offered Rate Plus \| Minimum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	1.375%
Line of credit \| Euro Interbank Offered Rate Plus \| Maximum \| Bank of America, N.A. \| Revolving Credit Facility
Debt Instrument [Line Items]
Adjusted interest rate	2.25%