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Stockholders' Equity (Deficit) - Common Stock (Details)	6 Months Ended
	Jun. 30, 2023 Vote
Stockholders' Equity Note [Abstract]
Number of votes per share that common stockholders are entitled to receive	1

X

- Definition

Represents the number of votes per share that common stockholders are entitled to receive.

+ References

No definition available.

+ Details

Name:	mdgl_CommonStockVotingRightsNumber
Namespace Prefix:	mdgl_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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