Revenue Recognition - Other Revenue (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020
Revenue from Contract with Customer [Abstract]
Revenue gross-up	$ 189,512	$ 60,044	$ 324,378	$ 217,483

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