DEBT - Cross Default and Co-Terminus Provisions and Other (Details) $ in Millions	12 Months Ended
Sep. 30, 2021 USD ($) item
Debt Instrument [Line Items]
Letter of credit issued for worker's compensation insurance carrier as part of the entity's self-insured loss control program \| $	$ 0.5
3.625% Real Estate Loan
Debt Instrument [Line Items]
Number of cross defaults \| item	0

Represents the number of loans in default with the participant lender that will cause all loans with the participant lender to be in default.

No definition available.

Name:	dit_DebtInstrumentCrossDefaultProvisionNumberOfLoansInDefaultInParticipantLenderToCauseAllLoansWithParticipantLenderToBeInDefault
Namespace Prefix:	dit_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration