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Share-based Compensation - Share-based Compensation Expense By Plan (Details) - USD ($)
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense $ 7,106,005 $ 9,654,778
Research and Development Expense    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense 1,524,715 954,379
General and Administrative Expense    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense 5,581,290 8,700,399
Equity Incentive Plan    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense 1,204,952 364,381
MoonLake AG Restricted Founder Shares    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense 1,574,300 4,840,608
ESPP    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense 3,352,885 3,910,076
ESOP    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Share-based compensation expense $ 973,868 $ 539,713