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Equity-Based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Dec. 16, 2025
Dec. 06, 2025
Dec. 31, 2025
Dec. 31, 2024
Dec. 31, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 340,535    
Equity restructuring costs     193,163 $ 0 $ 0
2025 Equity Incentive Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Common stock reserved for issuance (in shares)   6,700,000      
Shares outstanding percentage   5.00%      
Annual shares authorized increase, percent of outstanding shares   0      
Cost of services          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     114,729    
Sales, general and administrative          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 32,643    
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)     $ 766.54    
Share issued (in shares)     178,025    
Profits Interest Units (PIUs) | Cost of services          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 104,500    
Profits Interest Units (PIUs) | Sales, general and administrative          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 32,000    
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)     $ 16.00    
Vesting percentage     20.00%    
Unamortized compensation cost not yet recognized     $ 14,000    
Weighted-average period cost not yet recognized     5 years    
Annual anniversary of the vesting commencement     5 years    
Issuance of threshold (in dollars per share)     $ 16.00    
AT Umbrella LLC LTIP Units | Cost of services          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 100    
RSUs | 2025 Equity Incentive Plan          
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) 5,440,720        
Compensation expenses     $ 600    
Vesting percentage     16.70%    
Unamortized compensation cost not yet recognized     $ 86,100    
Weighted-average period cost not yet recognized     5 years 10 months 24 days    
RSUs | Cost of services | 2025 Equity Incentive Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 500    
RSUs | Sales, general and administrative | 2025 Equity Incentive Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     $ 100    
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     $ 10,200    
Vesting percentage     20.00%    
Unamortized compensation cost not yet recognized     $ 708,900    
Weighted-average period cost not yet recognized     4 years 8 months 12 days    
Equity restructuring costs     $ 30,900    
Class X Aggregator Units | Cost of services          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     9,700    
Class X Aggregator Units | Sales, general and administrative          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Compensation expenses     500    
Class H Aggregator Units          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Equity restructuring costs     $ 162,300