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Share-Based Compensation - Share-based Compensation Expense By Plan (Details) - USD ($)	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	$ 1,842,609	$ 1,425,651	$ 5,348,062	$ 5,500,499
Research and Development Expense
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	508,697	262,717	1,446,049	1,150,815
General and Administrative Expense
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	1,333,912	1,162,934	3,902,013	4,349,684
Equity Incentive Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	1,101,455	408,171	3,156,505	721,155
MoonLake AG Restricted Founder Shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	0	0	0	1,574,299
ESPP
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	741,154	762,309	2,191,557	2,590,576
ESOP
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation expense	$ 0	$ 255,171	$ 0	$ 614,469

X

- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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