Related Party Transactions, Transactions with Associated Capital Group (Details) - USD ($)	3 Months Ended	6 Months Ended
Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Associated Capital Group [Member]
Related Party Transactions [Abstract]
Payment made under sublease agreement	$ 14,110	$ 26,111	$ 28,764	$ 52,242

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