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Other Non-current Assets - Investments in Joint Ventures (Details) $ in Millions	1 Months Ended		3 Months Ended			12 Months Ended
	Jun. 30, 2020 USD ($)	Jun. 30, 2011	May 31, 2022 USD ($) engine	Nov. 30, 2020 USD ($)	May 31, 2020 USD ($)	May 31, 2022 USD ($)	May 31, 2021 USD ($)	May 31, 2020 USD ($)
Investments in Joint Ventures
Investments in joint ventures			$ 20.0			$ 20.0	$ 18.3
License Fees
Unamortized balance of the license			22.2			22.2	25.0
Cumulative premiums paid			5.5			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
Earnings (Loss) from joint ventures						(2.9)	0.2	$ (1.9)
Unison Industries
License Fees
Agreement period (in years)		10 years
Payment of license fee	$ 25.0
License fee capitalized	$ 25.0
Unamortized balance of the license			21.3			21.3
Owned Through Joint Ventures
Investments in Joint Ventures
Amount of guarantee liability recognized			$ 9.0			$ 9.0
Percentage on outstanding debt			40.00%			40.00%
Owned Through Joint Ventures \| Aircraft
Investments in Joint Ventures
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
Payment of evaluation and inspection services						1.1	1.0	1.6
Owned Through Joint Ventures \| Joint venture in India
Investments in Joint Ventures
Investments in joint ventures			$ 11.7			$ 11.7
Membership interest in joint ventures (as a percent)			40.00%			40.00%
Amount of guarantee liability recognized			$ 9.0			$ 9.0
Percentage on outstanding debt			40.00%			40.00%
Loan to joint venture			$ 3.2			$ 3.2
License Fees
Earnings (Loss) from joint ventures						$ 1.8	$ 0.0	$ 0.1
Owned Through Joint Ventures \| Joint venture in Malaysia
License Fees
Impairment charge			$ 0.7		$ 1.9