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Share-Based Compensation - Non-Cash Expense (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Share-Based Compensation        
Non-cash share-based compensation expense $ 14,565 $ 9,971 $ 43,206 $ 34,855
Less: Share-based compensation expense attributable to non-controlling interests (1,439) 0 (1,439) 0
Share-based compensation expense attributable to Biohaven Pharmaceutical Holding Company Ltd. 13,126 9,971 $ 41,767 34,855
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        
Non-cash share-based compensation expense 5,250 3,638 $ 17,927 17,668
Selling, general and administrative expense        
Share-Based Compensation        
Non-cash share-based compensation expense $ 9,315 $ 6,333 $ 25,279 $ 17,187