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Equity-based compensation - Summary of Equity-based Compensation Cost Recognized (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total equity-based compensation $ 14,454 $ 14,600 $ 43,943 $ 44,216
QLH restricted Class B-1 units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total equity-based compensation 14 53 73 185
Restricted Class A shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total equity-based compensation 130 213 464 774
Restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total equity-based compensation 14,310 14,397 43,406 43,257
Performance-based restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total equity-based compensation $ 0 $ (63) $ 0 $ 0