Fair Value Measurements - Additional Information (Details) - USD ($)	3 Months Ended
Mar. 31, 2022	Mar. 31, 2021
Fair Value Disclosures [Abstract]
Fair value measurements transfers between level 1, level 2 or level 3	$ 0	$ 0

Fair value assets transfers between level 1, level 2 and level 3.

No definition available.

Name:	medp_FairValueAssetsTransfersBetweenLevel1Level2AndLevel3
Namespace Prefix:	medp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration