Related Party Transactions, Transactions with Associated Capital Group (Details) - USD ($)	3 Months Ended
Mar. 31, 2022	Mar. 31, 2021
Associated Capital Group [Member]
Related Party Transactions [Abstract]
Payment made under sublease agreement	$ 14,654	$ 26,131

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