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Stock-based compensation - Narrative (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Dec. 31, 2023
Pre-IPO Incentive Award Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Shares authorized (in shares) 1   1    
Time-Based Restricted Stock Unit Awards          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Stock-based compensation expense $ 1 $ 0 $ 1 $ 0  
Unrecognized noncash compensation cost 2   $ 2    
Unrecognized noncash compensation cost, weighted-average period to be recognized     2 years    
Time-Based Restricted Stock Unit Awards | Minimum          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Award vesting period (in years)     1 year    
Time-Based Restricted Stock Unit Awards | Maximum          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Award vesting period (in years)     3 years    
BGLH Restricted Class B Units          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Stock-based compensation expense 3 3 $ 6 6  
Unrecognized noncash compensation cost 5   $ 5    
Unrecognized noncash compensation cost, weighted-average period to be recognized     1 year    
Management Profits Interests Class C Units          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Stock-based compensation expense 2 $ 2 $ 4 $ 4  
Unrecognized noncash compensation cost 9   $ 9    
Management Profits Interests Class C Units | Minimum          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Award vesting period (in years)     3 years    
Management Profits Interests Class C Units | Maximum          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Award vesting period (in years)     5 years    
LLH Value Creation Unit Plan Units          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Award vesting period (in years)     4 years    
Unrecognized noncash compensation cost $ 34   $ 34   $ 37