Related Party Transactions, Associated Capital Group (Details) - Associated Capital Group [Member] - USD ($)	3 Months Ended	6 Months Ended
Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020
Related Party Transactions [Abstract]
Management fee percentage	20.00%		20.00%
Management fees	$ 0	$ 0	$ 0	$ 0
Payment made under sublease agreement	$ 26,111	$ 26,211	$ 52,242	$ 53,324

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