Stockholders' Equity - At The Market Issuance Sales Agreement (Details) - USD ($) $ in Millions	1 Months Ended		3 Months Ended	6 Months Ended	36 Months Ended
	May 31, 2023	Jun. 30, 2021	Jun. 30, 2025	Jun. 30, 2025	May 31, 2024
Two Thousand and Twenty Two Registered Direct Offering
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Cash received on stock transaction after deduction of issuance costs		$ 200.0
2021 Sales Agreement
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Maximum aggregate offering price					$ 225.1
2021 Sales Agreement \| Common stock
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Number of shares issued in transaction (in shares)					1,334,044
2024 Sales Agreement
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Number of shares issued in transaction (in shares)			0	0
Authorized capital					$ 300.0
Cowen & Co. LLC \| Maximum \| 2021 Sales Agreement
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Maximum aggregate offering price	$ 200.0

MADRIGAL PHARMACEUTICALS, INC. 10-Q