Revenue Recognition - Schedule of New Accounting Pronouncements and Changes in Accounting Principles (Details) - USD ($) $ in Thousands	3 Months Ended
Mar. 31, 2023	Mar. 31, 2022
Revenue from Contract with Customer [Abstract]
Revenue gross-up	$ 286,702	$ 307,386

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