Revenue Recognition - Other Revenue (Details) - USD ($) $ in Thousands	3 Months Ended
Mar. 31, 2022	Mar. 31, 2021
Revenue from Contract with Customer [Abstract]
Revenue gross-up	$ 307,386	$ 134,866

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