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Related Party Transactions - Cantor Referral Fee (Details) $ in Millions | Oct. 30, 2024 USD ($)
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Related Party Transactions [Abstract] |
Audit committee approved referral fee | $ 1.5

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- Definition Audit Committee Approved Referral Fee + References No definition available. + Details
Name: | bgcg_AuditCommitteeApprovedReferralFee
Namespace Prefix: | bgcg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_RelatedPartyTransactionsAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration