PROFIT SHARING PLANS (Details) $ in Millions	12 Months Ended
Sep. 30, 2023 USD ($) plan	Sep. 30, 2022 USD ($)
Defined Contribution Plan Disclosure [Line Items]
Number of profit sharing plans \| plan	2
Employee's maximum voluntary contribution as percentage of their compensation	100.00%
Company's matching contributions to the profit sharing plan (net of employee forfeitures)	$ 1.6
AMCON Plan
Defined Contribution Plan Disclosure [Line Items]
Percentage of employer's contribution matching first 2 percent of employee's compensation	100.00%
Percentage of first portion of employee's compensation eligible for employer's matching contribution	2.00%
Percentage of employer's contribution matching next 4 percent of employee's compensation	50.00%
Percentage of second portion of employee's compensation eligible for employer's matching contribution	4.00%
Maximum matching percentage of employee compensation	4.00%
Company's matching contributions to the profit sharing plan (net of employee forfeitures)		$ 1.2
Sledd Plan
Defined Contribution Plan Disclosure [Line Items]
Maximum matching percentage of employee compensation	5.00%
Team Sledd Plan
Defined Contribution Plan Disclosure [Line Items]
Employee matching contribution	100.00%

Represents the first level of employee contributions (percentage of compensation) which are matched by the employer.

No definition available.

Name:	dit_DefinedContributionPlanEmployerMatchEmployeeContributionLevelOne
Namespace Prefix:	dit_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the second level of employee contributions (percentage of compensation) which are matched by the employer.

+ References

No definition available.

+ Details

Name:	dit_DefinedContributionPlanEmployerMatchEmployeeContributionLevelTwo
Namespace Prefix:	dit_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the employer matching contribution of the first level of employee contributions.

+ References

No definition available.

+ Details

Name:	dit_DefinedContributionPlanEmployerMatchLevelOne
Namespace Prefix:	dit_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the employer matching contribution of the second level of employee contributions.

+ References

No definition available.

+ Details

Name:	dit_DefinedContributionPlanEmployerMatchLevelTwo
Namespace Prefix:	dit_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the maximum percentage of employee compensation, by the terms of the plan, that the employee may contribute to a defined contribution plan.

+ References

No definition available.

+ Details

Name:	dit_DefinedContributionPlanMaximumEmployeeContributionAsPercentageOfCompensation
Namespace Prefix:	dit_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Represents the number of profit sharing plans.

+ References

No definition available.

+ Details

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

- Definition

Amount of cost for defined contribution plan.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 70
-Section 50
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=49170846&loc=d3e28014-114942

+ Details

Name:	us-gaap_DefinedContributionPlanCostRecognized
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanDisclosureLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage of employees' gross pay for which the employer contributes a matching contribution to a defined contribution plan.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerMatchingContributionPercent
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Percentage employer matches of the employee's percentage contribution matched.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_RetirementPlanTypeAxis=dit_AmconPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_RetirementPlanTypeAxis=dit_SleddPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_RetirementPlanTypeAxis=dit_TeamSleddPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: