Related Party Transactions, Transactions with Associated Capital Group (Details) - USD ($)	3 Months Ended	9 Months Ended
Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Associated Capital Group [Member]
Related Party Transactions [Abstract]
Payment made under sublease agreement	$ 13,740	$ 4,988	$ 42,504	$ 57,231

The amount paid by the organization under sublease agreement.

No definition available.

Name:	mghl_PaymentMadeUnderSubleaseAgreement
Namespace Prefix:	mghl_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration