Defined Benefit Pension Settlement (Details) $ in Millions	3 Months Ended
Aug. 31, 2024 USD ($)
Defined Benefit Pension Settlement
Funded status at end of year	$ 26.7
Non-cash, after-tax pension settlement charge	$ 16.1
Benefit plan contribution excise tax rate upon withdrawal	20.00%
Benefit plan remaining surplus plan assets	$ 4.3
Benefit plan utilize to non-elective discretionary contribution	$ 3.6

Define benefit plan contribution excise tax rate upon withdrawal.

No definition available.

Name:	air_DefineBenefitPlanContributionExciseTaxRateUponWithdrawal
Namespace Prefix:	air_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Amount of defined benefit plan remaining surplus plan assets.

+ References

No definition available.

+ Details

Name:	air_DefinedBenefitPlanRemainingSurplusPlanAssets
Namespace Prefix:	air_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Amount of defined benefit plan utilize to non-elective discretionary contribution.

+ References

No definition available.

+ Details

Name:	air_DefinedBenefitPlanUtilizeToNonElectiveDiscretionaryContribution
Namespace Prefix:	air_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of noncash expense (reversal of expense) for pension benefits. Excludes other postretirement benefits of after tax.

+ References

No definition available.

+ Details

Name:	air_PensionExpenseReversalOfExpenseNoncashAfterTax
Namespace Prefix:	air_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of funded (unfunded) status of defined benefit plan, measured as difference between fair value of plan assets and benefit obligation. Includes, but is not limited to, overfunded (underfunded) status.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 715
-SubTopic 20
-Name Accounting Standards Codification
-Section 55
-Paragraph 17
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480482/715-20-55-17

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 715
-SubTopic 20
-Name Accounting Standards Codification
-Section 45
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480535/715-20-45-2

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 715
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480506/715-20-50-1

+ Details

Name:	us-gaap_DefinedBenefitPlanFundedStatusOfPlan
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- References

No definition available.

+ Details

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