Warrants - Fair value measurements assumptions of the warrants (Details)	Jun. 25, 2025 $ / shares USD ($) Y shares	Jun. 10, 2025 $ / shares Y shares	May 30, 2025 USD ($) $ / shares	May 22, 2025 $ / shares Y shares
Class C Warrants
Warrants
Number of warrants issued \| shares	1,003,334	6,666,666		2,333,333
Fair value per warrant	$ 3.88	$ 2.15		$ 2.18
Class C Warrants \| Exercise price
Warrants
Measurement input	4.5	4.5		4.5
Class C Warrants \| Share price
Warrants
Measurement input	7.49	4.24		4.3
Class C Warrants \| Volatility
Warrants
Measurement input	1.0114	1.1849		1.1849
Class C Warrants \| Term (years)
Warrants
Measurement input \| Y	2.88	2.92		2.92
Class C Warrants \| Risk-free rate
Warrants
Measurement input	0.0367	0.0387		0.0387
Class C Warrants \| Dividend yield
Warrants
Measurement input	0	0		0
Korea Zinc Warrants \| Exercise price
Warrants
Measurement input	7
Korea Zinc Warrants \| Share price
Warrants
Measurement input	7.49
Korea Zinc Warrants \| Volatility
Warrants
Measurement input	1.0055
Korea Zinc Warrants \| Term (years)
Warrants
Measurement input \| $	3
Korea Zinc Warrants \| Risk-free rate
Warrants
Measurement input	0.0367
Korea Zinc Warrants \| Dividend yield
Warrants
Measurement input	0
Nauru Warrants \| Exercise price
Warrants
Measurement input			4.72
Nauru Warrants \| Share price
Warrants
Measurement input			4.47
Nauru Warrants \| Volatility
Warrants
Measurement input			1.1471
Nauru Warrants \| Term (years)
Warrants
Measurement input \| $			5
Nauru Warrants \| Risk-free rate
Warrants
Measurement input			0.0389
Nauru Warrants \| Dividend yield
Warrants
Measurement input			0

TMC the metals Co Inc. 10-Q