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GOODWILL, INTANGIBLE ASSETS, NET, AND DIGITAL ASSETS HELD - Additional Information (Details)
 1 Months Ended 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
USD ($)
Oct. 31, 2022
item
$ / shares
Sep. 30, 2025
USD ($)
item
Sep. 30, 2024
USD ($)
Sep. 30, 2025
USD ($)
item
Sep. 30, 2024
USD ($)
Intangible Assets              
Impairment of indefinite-lived intangible assets           $ 1,800,000  
Impairment of intangible assets           18,900,000  
Revenues       $ 1,141,700,000 $ 1,055,700,000 3,510,200,000 $ 2,986,900,000
Revenues less cost of revenues:       605,500,000 532,000,000.0 1,758,000,000 1,547,900,000
Digital              
Intangible Assets              
Impairment of finite-lived intangible assets         81,000,000.0   81,000,000.0
Europe and Asia Pacific              
Intangible Assets              
Impairment of intangible assets           18,900,000  
Customer relationships              
Intangible Assets              
Impairment of finite-lived intangible assets       17,100,000   17,100,000  
Market data fees              
Intangible Assets              
Revenues       $ 83,700,000 $ 73,500,000 $ 243,900,000 $ 219,200,000
Data Provider Agreement with Pyth Data Association | Cboe Netherlands Services Company B.V              
Intangible Assets              
Number of token issued in a exchange or transaction | item     16,666,666     790,000  
Term of restricted tokens issued (in years)     4 years        
Percentage of tranche unlocked over a period for restricted tokens issued 25.00% 25.00%          
Historical value of tokens (in dollars per share) | $ / shares     $ 0.06        
Number of tokens sold | item       4,300,000   8,500,000  
Recognized gain on sale of tokens       $ 400,000   $ 1,000,000.0  
Data Provider Agreement with Pyth Data Association | Cboe Netherlands Services Company B.V | Market data fees              
Intangible Assets              
Revenues   $ 1,000,000.0