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Equity-Based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Dec. 16, 2025
Dec. 06, 2025
Jun. 30, 2026
Apr. 30, 2026
Sep. 30, 2026
Sep. 30, 2025
Sep. 30, 2026
Sep. 30, 2025
Dec. 31, 2025
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         $ 47,506 $ 6,901 $ 141,390 $ 136,460  
Class A Common Stock | 2026 Acquisitions                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Share issued (in shares)             963,285    
Compensation expenses         1,800   $ 2,600    
Vesting percentage             20.00%    
Unamortized compensation cost not yet recognized         30,600   $ 30,600    
Weighted-average period cost not yet recognized             4 years 7 months 6 days    
Share based compensation, fair value assumptions grant date, amount             $ 33,300    
Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServiceExcludingDepreciationDepletionAndAmortization                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         43,076 0 125,468 104,512  
Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         4,430 $ 6,901 $ 15,922 $ 31,948  
Profits Interest Units (PIUs)                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Granted, weighted average grant date fair value (in dollars per share)           $ 1,380.82   $ 766.54  
Share issued (in shares)           5,000   178,025  
Profits Interest Units (PIUs) | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServiceExcludingDepreciationDepletionAndAmortization                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses           $ 0   $ 104,500  
Profits Interest Units (PIUs) | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses           $ 6,900   $ 31,900  
AT Umbrella LLC LTIP Units                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Granted, weighted average grant date fair value (in dollars per share)             $ 21.38    
Share issued (in shares)       707,823          
Compensation expenses         1,800   $ 4,500    
Vesting percentage             20.00%    
Unamortized compensation cost not yet recognized         28,300   $ 28,300    
Weighted-average period cost not yet recognized             4 years 3 months 18 days    
Annual anniversary of the vesting commencement             5 years    
Issuance of threshold (in dollars per share)             $ 28.23   $ 16.00
AT Umbrella LLC LTIP Units | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServiceExcludingDepreciationDepletionAndAmortization                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         1,600   $ 3,900    
Class X Aggregator Units                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Granted, weighted average grant date fair value (in dollars per share)             $ 16.00    
Share issued (in shares)             0    
Compensation expenses         40,400   $ 123,700    
Vesting percentage             20.00%    
Unamortized compensation cost not yet recognized         577,400   $ 577,400    
Weighted-average period cost not yet recognized             4 years    
Class X Aggregator Units | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServiceExcludingDepreciationDepletionAndAmortization                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         37,000   $ 110,700    
Class X Aggregator Units | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         $ 3,400   $ 13,100    
2025 Equity Incentive Plan                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Common stock reserved for issuance (in shares)         12,290,828   12,290,828    
Shares outstanding percentage   5.00%              
Annual shares authorized increase, percent of outstanding shares (in shares)   0              
2025 Equity Incentive Plan | Restricted Stock Units (RSUs)                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Granted, weighted average grant date fair value (in dollars per share)   $ 16.26              
Share issued (in shares) 5,440,720   61,231            
Compensation expenses         $ 3,500   $ 10,600    
Vesting percentage             16.70%    
Unamortized compensation cost not yet recognized         70,300   $ 70,300    
Weighted-average period cost not yet recognized             5 years 2 months 12 days    
2025 Equity Incentive Plan | Restricted Stock Units (RSUs) | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServiceExcludingDepreciationDepletionAndAmortization                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         2,800   $ 8,200    
2025 Equity Incentive Plan | Restricted Stock Units (RSUs) | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense                  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]                  
Compensation expenses         $ 800   $ 2,300