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Intangible assets and goodwill - Indefinite-lived Intangibles (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2023
Jun. 30, 2023
Dec. 31, 2022
Indefinite-lived intangibles      
Impairment $ (217,800) $ (217,800)  
Intangible assets, net 451,629 451,629 $ 705,891
PTC-FA and PTC-AS      
Indefinite-lived intangibles      
Impairment (217,800) (217,800)  
Indefinite-lived intangible assets      
Indefinite-lived intangibles      
Beginning Balance   453,566  
Additions    
Impairment   (217,800)  
Ending Balance 235,766 235,766  
Intangible assets, net 451,629 451,629  
Indefinite-lived intangible assets | Upstaza      
Indefinite-lived intangibles      
Beginning Balance   235,766  
Additions    
Ending Balance 235,766 235,766  
Indefinite-lived intangible assets | PTC-FA and PTC-AS      
Indefinite-lived intangibles      
Impairment $ (217,800) (217,800)  
Indefinite-lived intangible assets | PTC-FA      
Indefinite-lived intangibles      
Beginning Balance   112,500  
Additions    
Impairment   (112,500)  
Indefinite-lived intangible assets | PTC-AS      
Indefinite-lived intangibles      
Beginning Balance   105,300  
Additions    
Impairment   $ (105,300)