v3.22.2.2

Equity (Details) - USD ($) |  | 1 Months Ended | 3 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Mar. 07, 2022 | Aug. 31, 2022 | Jun. 21, 2022 | Sep. 30, 2022 | Sep. 30, 2021 | Jun. 30, 2022
Equity (Details) [Line Items] |  |  |  |  |  |
Reverse split, description | 1:200 |  |  |  |  |
Number of common stock shares |  |  |  | 36,500 |  |
Fair value of warrants (in Dollars) |  |  |  | $ 150,000 |  |
Warrants [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Exercise price (in Dollars per share) |  | $ 0.01 |  |  |  | $ 0.5
Equity [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Reverse split, description | All share amounts have been adjusted to reflect a 1:200 reverse split effective March 7, 2022. |  |  |  |  |
Professional consulting services [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Share issued |  |  |  | 1,070,922 | 12,500 |
Share issued value (in Dollars) |  |  |  | $ 188,128 | $ 32,750 |
Commitment Fees Under Note Payable [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Share issued |  |  |  | 800,000 |  |
Share issued value (in Dollars) |  |  |  | $ 144,800 |  |
Charitable Donation [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Share issued |  |  |  | 350,000 |  |
Share issued value (in Dollars) |  |  |  | $ 52,500 |  |
Commitment Shares Under Equity Purchase Agreement [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Share issued |  |  |  |  | 450,000 |
Share issued value (in Dollars) |  |  |  |  | $ 1,091,000 |
Investor [Member] |  |  |  |  |  |
Equity (Details) [Line Items] |  |  |  |  |  |
Share issued |  | 1,000,000 | 600,000 |  |  |

X
- References No definition available. + Details
Name: | gaxy_EquityDetailsLineItems
Namespace Prefix: | gaxy_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Amount of addition (reduction) to the amount at which an asset could be incurred (settled) in a current transaction between willing parties. + References No definition available. + Details
Name: | us-gaap_AssetsFairValueAdjustment
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Number of new stock issued during the period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(28)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
Name: | us-gaap_StockIssuedDuringPeriodSharesNewIssues
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Number of shares (or other type of equity) forfeited during the period. + References No definition available. + Details
Name: | us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensationForfeited
Namespace Prefix: | us-gaap_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

X
- Definition Equity impact of the value of new stock issued during the period. Includes shares issued in an initial public offering or a secondary public offering. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(29)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(28)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
Name: | us-gaap_StockIssuedDuringPeriodValueNewIssues
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Description of the reverse stock split arrangement. Also provide the retroactive effect given by the reverse split that occurs after the balance sheet date but before the release of financial statements. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 4 -Subparagraph (SAB Topic 4.C) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187143-122770 + Details
Name: | us-gaap_StockholdersEquityReverseStockSplit
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Per share increase in exercise price of warrant. Excludes change due to standard antidilution provision. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21475-112644 + Details
Name: | us-gaap_WarrantExercisePriceIncrease
Namespace Prefix: | us-gaap_
Data Type: | dtr-types:perShareItemType
Balance Type: | na
Period Type: | duration

X
- Details
Name: | us-gaap_StatementEquityComponentsAxis=us-gaap_WarrantMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_TradingActivityByTypeAxis=us-gaap_EquityMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_ProfessionalConsultingServicesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CommitmentFeesUnderNotePayableMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CharitableDonationMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=gaxy_CommitmentSharesUnderEquityPurchaseAgreementMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=us-gaap_InvestorMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |