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INVENTORIES, NET - Change of inventories provision (Details) - USD ($)	6 Months Ended	12 Months Ended
	Mar. 31, 2025	Sep. 30, 2024
INVENTORIES, NET
Beginning balance	$ 95,756	$ 885,709
Addition	(53,200)	(813,619)
Exchange rate difference	(2,196)	23,666
Ending balance	$ 40,360	$ 95,756

X

- Definition

Amount of provision expense (reversal) added to the inventory valuation reserve.

+ References

No definition available.

+ Details

Name:	bgm_InventoryValuationReserveExpenseProvisionReversal
Namespace Prefix:	bgm_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Difference due to foreign exchange rate added (reduced) to the inventory valuation reserve.

+ References

No definition available.

+ Details

Name:	bgm_InventoryValuationReserveIncreaseDecreaseDueToForeignExchangeRateDifference
Namespace Prefix:	bgm_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- References

No definition available.

+ Details

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

X

- Definition

Amount of valuation reserve for inventory.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 330
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SAB Topic 5.BB)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480581/330-10-S99-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(6))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_InventoryValuationReserves
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant