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Commitments and Contingencies (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 06, 2025
Jun. 30, 2024
Jun. 20, 2024
Jun. 14, 2024
May 29, 2024
Mar. 11, 2024
Feb. 28, 2024
Dec. 31, 2024
Sep. 30, 2025
Apr. 02, 2025
Loss Contingencies [Line Items]                    
Estimated loss contingency accrued               $ 6.1 $ 1.0  
Earn Program Related Litigation                    
Loss Contingencies [Line Items]                    
Court ordered stay of case period                   60 days
GTC | Earn Program Related Litigation                    
Loss Contingencies [Line Items]                    
Expenses from litigation settlement               137.0    
Settlement amount awarded to other party       $ 50.0            
Percentage of assets as settlement amount awarded to other party       3.00%            
Civil monetary penalty related to litigation settlement           $ 37.0        
Bitcoin contributed in compliance with Consent Order           40.0        
GTC | Earn Program Related Litigation | Gemini Earn Program Users                    
Loss Contingencies [Line Items]                    
Settlement amount awarded to other party             $ 40.0      
Percentage of assets as settlement amount awarded to other party   3.00%                
Bitcoin contributed for settlement agreement           $ 10.0        
Crypto assets received in kind     $ 50.0              
GTC | Earn Program Related Litigation | Genesis                    
Loss Contingencies [Line Items]                    
Recovery of claims amount     50.0              
General unsecured creditor claim     $ 7.5              
Book value of aggregate amounts received               29.5    
GTC | Commodity Futures Trading Commission Litigation                    
Loss Contingencies [Line Items]                    
Settlement amount awarded to other party $ 5.0                  
Gemini Earn Program Users | Earn Program Related Litigation | Gemini Earn Program Users                    
Loss Contingencies [Line Items]                    
Percentage of assets as settlement amount awarded to other party         97.00%          
Gemini Earn Program Users | Earn Program Related Litigation | Genesis                    
Loss Contingencies [Line Items]                    
Crypto assets received in kind         $ 2,180.0          
Credit card receivables                    
Loss Contingencies [Line Items]                    
Outstanding purchase commitments               $ 65.8 $ 150.6