Revenue Recognition (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Feb. 28, 2025	Feb. 29, 2024	Feb. 28, 2025	Feb. 29, 2024
Revenue Recognition
Practical Expedient, Incremental costs of obtaining a contract			true
Practical Expedient, Remaining performance obligations			true
Favorable cumulative catch-up adjustments	$ 0.0	$ 2.5	$ 2.4	$ 9.5
Unfavorable cumulative catch-up adjustments				$ (6.8)

Amount of increase in revenue recognized for cumulative catch-up adjustment from change in measure of progress which increases right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time.

No definition available.

+ Details

Name:	air_ContractWithCustomerAssetCumulativeCatchUpFavorableAdjustmentToRevenueChangeInMeasureOfProgress
Namespace Prefix:	air_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of decrease in revenue recognized for cumulative catch-up adjustment from change in measure of progress which decreases right to consideration in exchange for good or service transferred to customer when right is conditioned on something other than passage of time.

+ References

No definition available.

+ Details

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

- Definition

Indicates (true false) whether practical expedient was elected not to disclose amount of transaction price allocated to remaining performance obligation and explanation of expected timing of revenue recognition for reporting period presented prior to date of initial application under retrospective method.

+ References

No definition available.

+ Details

Name:	air_RevenuePracticalExpedientInitialApplicationAndTransitionNondisclosureOfTransactionPriceAllocationToRemainingPerformanceObligation2TrueFalse
Namespace Prefix:	air_
Data Type:	xbrli:booleanItemType
Balance Type:	na
Period Type:	duration

- References

No definition available.

+ Details

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

- Definition

Indicates (true false) whether practical expedient was elected to recognize incremental cost of obtaining contract as expense when incurred if amortization period would have been one year or less.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 22
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-22

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 340
-SubTopic 40
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479483/340-40-50-5

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:booleanItemType
Balance Type:	na
Period Type:	duration