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LONG-TERM INVESTMENT - Change of share of results of associates (Details) - USD ($)	6 Months Ended	12 Months Ended
	Mar. 31, 2025	Sep. 30, 2024
LONG-TERM INVESTMENT
Beginning balance	$ 204,648
Addition	126,333	$ 204,648
Ending balance	$ 330,981	$ 204,648

X

- Definition

Amount of share of results of associates as part of equity method investment.

+ References

No definition available.

+ Details

Name:	bgm_EquityMethodInvestmentShareOfResultsOfAssociates
Namespace Prefix:	bgm_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Amount of recognized share of results of associates.

+ References

No definition available.

+ Details

Name:	bgm_EquityMethodInvestmentShareOfResultsOfAssociatesAddition
Namespace Prefix:	bgm_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- References

No definition available.

+ Details

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