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Tax Receivable Agreement and Income Taxes - Additional Information (Details) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Dec. 31, 2023
Dec. 31, 2023
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 31, 2024
Dec. 31, 2023
Income Tax Contingency [Line Items]                
Percentage of net cash saving to be paid         85.00%   85.00%  
Percentage of net cash saving to be retained         15.00%   15.00%  
Total TRA liability recognized $ 5,242,000 $ 5,242,000 $ 41,000   $ 41,000   $ 41,000 $ 5,242,000
Outside basis difference in partnership interest             0 6,200,000
Valuation allowance 460,000 460,000         7,709,000 460,000
Increase in valuation allowance             7,200,000  
Payment on tax receivable agreement         0 $ 0 0 100,000
Derecognition of tax receivable agreement liability     0 $ 5,201,000 0 $ 5,201,000 5,201,000 0
Uncertain tax positions $ 0 $ 0 $ 0   0   0 0
Penalties and interest related to uncertain tax positions         $ 0   0 $ 0
State and Local Jurisdiction                
Income Tax Contingency [Line Items]                
Operating loss carryforwards             3,700,000  
Domestic Tax Jurisdiction                
Income Tax Contingency [Line Items]                
Operating loss carryforwards             $ 5,800,000  
Common Class A | Direct Digital Management LLC                
Income Tax Contingency [Line Items]                
Number of units exchanged (in shares) 7,455 7,455         0 7,455