Long term debt floor interest rate percentage.

No definition available.

Name:	mdgl_LongTermDebtFloorInterestRatePercentage
Namespace Prefix:	mdgl_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 3
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21475-112644

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

The number of warrants issued in exchange for the original debt being converted in a noncash (or part noncash) transaction. "Part noncash" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-URI https://asc.fasb.org/extlink&oid=126999549&loc=d3e4304-108586

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 5
-URI https://asc.fasb.org/extlink&oid=126999549&loc=d3e4332-108586

+ Details

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

- Definition

Amount of current borrowing capacity under the credit facility considering any current restrictions on the amount that could be borrowed (for example, borrowings may be limited by the amount of current assets), but without considering any amounts currently outstanding under the facility.

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

Amount of borrowing capacity currently available under the credit facility (current borrowing capacity less the amount of borrowings outstanding).

+ References

+ Details

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

- Definition

The cash inflow during the period from additional borrowings in aggregate debt. Includes proceeds from short-term and long-term debt.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 14
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3255-108585

+ Details

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

- Definition

Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event.

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Details

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

- Details

Name:	us-gaap_DebtInstrumentAxis=mdgl_TermLoanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Balance Type:
Period Type:

- Details

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

- Details

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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:	mdgl_TrancheAxis=mdgl_TrancheFouthMember
Namespace Prefix:
Data Type:	na
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- Details

Name:	us-gaap_CreditFacilityAxis=mdgl_LoanFacilityAndAmendedLoanFacilityOneMember
Namespace Prefix:
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Period Type:

Subsequent Event (Details) - USD ($)			1 Months Ended
Subsequent Event (Details) - USD ($)	Feb. 03, 2023	May 01, 2022	May 31, 2022	Sep. 30, 2023	Jun. 19, 2023
Subsequent Event [Line Items]
Debt Conversion, Converted Instrument, Warrants or Options Issued		14,899
Loan Facility And Amended Loan Facility
Subsequent Event [Line Items]
Proceeds from issuance of debt			$ 50,000,000
Term Loan [Member]
Subsequent Event [Line Items]
Proceeds from issuance of debt			$ 50,000,000
Long term debt floor interest rate percentage			7.45%
Subsequent Event \| Loan Facility And Amended Loan Facility
Subsequent Event [Line Items]
Long term debt floor interest rate percentage	8.25%
Subsequent Event \| Loan Facility And Amended Loan Facility \| Prime Rate
Subsequent Event [Line Items]
Long term debt floor interest rate percentage	2.45%
Subsequent Event \| Loan Facility And Amended Loan Facility \| Tranche Two
Subsequent Event [Line Items]
Proceeds from issuance of debt	$ 35,000,000
Additional Drawn	$ 65,000,000			$ 15,000,000	$ 15,000,000
Line of Credit Facility, Remaining Borrowing Capacity				$ 30,000,000
Debt Conversion, Converted Instrument, Warrants or Options Issued	2,453
Class of Warrant or Right, Exercise Price of Warrants or Rights	$ 285.31
Line of Credit Facility, Current Borrowing Capacity	$ 15,000,000
Subsequent Event \| Loan Facility And Amended Loan Facility \| Tranche three
Subsequent Event [Line Items]
Line of Credit Facility, Remaining Borrowing Capacity	75,000,000
Subsequent Event \| Loan Facility And Amended Loan Facility \| Tranche fouth
Subsequent Event [Line Items]
Line of Credit Facility, Remaining Borrowing Capacity	15,000,000
Subsequent Event \| Loan Facility And Amended Loan Facility One \| Tranche fouth
Subsequent Event [Line Items]
Line of Credit Facility, Remaining Borrowing Capacity	60,000,000
Subsequent Event \| Term Loan [Member] \| Loan Facility And Amended Loan Facility
Subsequent Event [Line Items]
Proceeds from issuance of debt	$ 35,000