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Other Non-current Assets - Investments in Joint Ventures (Details) $ in Millions	1 Months Ended			3 Months Ended			12 Months Ended
	Sep. 30, 2022 USD ($)	Jun. 30, 2020 USD ($)	Jun. 30, 2011	May 31, 2022 USD ($) engine	Nov. 30, 2020 USD ($)	May 31, 2020 USD ($)	May 31, 2023 USD ($)	May 31, 2022 USD ($)	May 31, 2021 USD ($)
Investments in Joint Ventures
Investments in joint ventures				$ 20.0			$ 16.6	$ 20.0
Earnings from joint ventures							(3.2)	(2.9)	$ 0.2
License Fees
License fees, net				$ 22.2			39.6	22.2
Cumulative premiums paid							5.5
Proceeds from termination of split-dollar life insurance agreement					$ 12.0
Proceeds from termination of split-dollar life insurance agreements premiums paid					10.0
Net recoveries of prior taxes paid on behalf of employees					$ 1.3
Unison Industries
License Fees
Agreement period (in years)	1 year		10 years
Payment of license fee	$ 18.0	$ 25.0
License fee capitalized	$ 18.0	$ 25.0
License fees, net							36.6
Owned Through Joint Ventures
Investments in Joint Ventures
Amount of guarantee liability recognized							$ 9.6
Percentage on outstanding debt							40.00%
Owned Through Joint Ventures \| Aircraft
Investments in Joint Ventures
Payment of evaluation and inspection services							$ 1.0	1.1	1.0
Number of aircraft engines acquired \| engine				2
Payments to acquire aircraft and engine				$ 16.8				16.8
Remarketing fees earned				0.2
Net cash proceeds from sale of aircraft by joint ventures				17.0
Owned Through Joint Ventures \| Joint venture in India
Investments in Joint Ventures
Investments in joint ventures							6.4
Amount of guarantee liability recognized							$ 9.6
Percentage on outstanding debt							40.00%
Loan to joint venture							$ 3.4
Earnings from joint ventures							2.7	$ 1.8	$ 0.0
Owned Through Joint Ventures \| Joint venture in Malaysia
License Fees
Impairment charge				$ 0.7		$ 1.9
Owned Through Joint Ventures \| Joint venture in India to operate an airframe maintenance facility
Investments in Joint Ventures
Investments in joint ventures							$ 9.8
Ownership interest in joint ventures (as a percent)							40.00%