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Stock-Based Compensation (Details) - USD ($) |  |  |  |  |  |  |  |  | 1 Months Ended | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 15, 2025 | Dec. 18, 2024 | Dec. 16, 2024 | Dec. 15, 2024 | Nov. 13, 2024 | Nov. 08, 2024 | Dec. 22, 2023 | Sep. 30, 2023 | May 31, 2025 | Dec. 31, 2024 | Sep. 30, 2025 | Dec. 31, 2024 | Sep. 30, 2024 | Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2024 | Sep. 30, 2023
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options issued (in Shares) |  | 1,666,666 |  |  |  |  |  | 8,767 |  |  |  |  |  |  |  |  |
Exercise price per share (in Dollars per share) |  |  |  |  | $ 2.39 |  |  |  |  |  |  |  |  |  |  |  |
Common stock reserved for issuance (in Shares) |  |  |  |  |  |  |  |  |  | 5,934,289 |  | 5,934,289 | 6,501,895 |  | 6,501,895 | 6,501,895 |
Share-based compensation expense |  |  | $ 959,100 |  |  |  |  |  |  |  |  | $ 325,032 |  |  |  |  |
Aggregate intrinsic value of stock options outstanding |  |  |  |  |  |  |  |  |  | $ 0 |  | 0 | $ 0 |  | $ 0 | $ 0 |
Common stock shares (in Shares) |  |  |  | 2,385,170 |  |  |  |  |  |  |  |  |  |  |  |  |
Stock grants with fair value |  |  |  |  |  | $ 108,344 |  |  |  |  |  |  |  |  |  |  |
Old Nukk Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based compensation expense |  |  |  |  |  |  |  |  |  |  |  | $ 5,603 |  |  |  | $ 229,605 | $ 370,878
2023 Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock shares (in Shares) |  |  | 1,337,500 |  |  |  | 125,000 |  |  |  |  |  |  |  |  |  |
Stock grants with fair value |  |  | $ 1,859,125 |  |  |  |  |  |  |  |  |  |  |  |  |  |
2024 Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based compensation expense |  |  |  |  |  |  |  |  |  |  | $ 0 |  | $ 5,602 | $ 177,905 | $ 154,937 |  |
Equity Option [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options issued (in Shares) |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |  |  |  |
Shares exercised (in Shares) |  |  |  |  |  |  |  |  |  |  |  |  |  | 100,000 |  |  |
Common stock shares (in Shares) | 4,770,340 |  |  | 2,385,170 |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options issued (in Shares) |  |  |  |  |  |  |  |  |  | 200,000 |  |  |  |  |  |  |
Share-based compensation expense |  |  | $ 900,025 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] | 2024 Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Shares exercised (in Shares) |  |  |  |  |  |  |  |  | 84,276 |  |  |  |  |  |  |  |
2025 Equity Incentive Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock-Based Compensation [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock reserved for issuance (in Shares) |  |  |  |  |  |  |  |  |  |  | 3,950,000 |  |  | 3,950,000 |  |  |

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