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Share-Based Compensation - Non-Cash Expense (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Share-Based Compensation    
Total non-cash share-based compensation expense $ 81,828 $ 48,726
Less: Share-based compensation expense attributable to non-controlling interests 498 360
Share-based compensation expense attributable to Biohaven Pharmaceutical Holding Company Ltd. 81,330 48,366
Share-based compensation expense capitalized $ 962 0
Minimum    
Share-Based Compensation    
Requisite service period of award (in years) 3 years  
Maximum    
Share-Based Compensation    
Requisite service period of award (in years) 4 years  
Research and development expenses    
Share-Based Compensation    
Total non-cash share-based compensation expense $ 33,953 20,058
Selling, general and administrative expenses    
Share-Based Compensation    
Total non-cash share-based compensation expense $ 47,875 $ 28,668