Revenue Recognition - Schedule of New Accounting Pronouncements and Changes in Accounting Principles (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Revenue from Contract with Customer [Abstract]
Revenue gross-up	$ 61,988	$ 240,969	$ 122,158	$ 527,671

Revenue from Contract with Customer, Excluding Assessed Tax, Gross

No definition available.

Name:	ae_RevenueFromContractWithCustomerExcludingAssessedTaxGross
Namespace Prefix:	ae_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration