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Non-controlling interests - Additional Information (Detail) - USD ($) $ in Millions | 9 Months Ended |
--- | --- | ---
Sep. 30, 2024 | Dec. 31, 2023
Class V Common Stock [Member] |  |
Noncontrolling Interest [Line Items] |  |
Common stock, shares outstanding | 41,193,024 |
Majority Stockholder of Lux Vending LLC, BT Assets, Inc |  |
Noncontrolling Interest [Line Items] |  |
Number of common units issued of limited liability company | 41,193,024 |
Number of preferred units issued of limited liability company | 2,900,000 |
Shares exchanged as part of transaction | 2,906,976 |
Majority Stockholder of Lux Vending LLC, BT Assets, Inc | Class V Common Stock [Member] |  |
Noncontrolling Interest [Line Items] |  |
Common stock, shares outstanding | 41,193,024 |
Bit Access [Member] | Non-controlling Interest [Member] |  |
Noncontrolling Interest [Line Items] |  |
Non-controlling interest ownership percentage | 17.86% | 17.86%
BT Hold Co [Member] |  |
Noncontrolling Interest [Line Items] |  |
Non-controlling interest ownership percentage | 67.82% | 72.50%
Number of common units issued of limited liability company | 41,193,024 | 44,100,000
BT Hold Co [Member] | Majority Stockholder of Lux Vending LLC, BT Assets, Inc |  |
Noncontrolling Interest [Line Items] |  |
Preferred unit liquidation preference per share | 10.00% |
Preferred unit liquidation preference value | $ 29.0 |
BT Hold Co [Member] | Maximum [Member] |  |
Noncontrolling Interest [Line Items] |  |
Allocation of net income | $ 29.0 |
BT Hold Co [Member] | Non-controlling Interest [Member] |  |
Noncontrolling Interest [Line Items] |  |
Non-controlling interest ownership percentage | 67.80% | 72.60%
Redeemable non-controlling interest, equity, fair value | $ 6.7 | $ 25.2

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