Related Party Transactions - Aggregate balance of tax receivable liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Dec. 31, 2023	Sep. 30, 2023	Jun. 30, 2023	Mar. 31, 2023	Dec. 31, 2022
Related Party Transactions [Abstract]
Short term	$ 41	$ 41	$ 41	$ 40	$ 41	$ 183
Long term	0	5,201	$ 4,245	$ 4,246	$ 4,245	4,150
Total liability related to tax receivable agreement	$ 41	$ 5,242				$ 4,333

Carrying value as of the balance sheet liability related to tax receivable agreement. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

No definition available.

Name:	drct_CurrentPortionOfLiabilityRelatedToTaxReceivableAgreement
Namespace Prefix:	drct_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant