Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Aug. 31, 2025	Aug. 31, 2024
Disaggregation of revenue by major customer markets
Net sales	$ 739.6	$ 661.7
Parts Supply
Disaggregation of revenue by major customer markets
Net sales	317.8	249.7
Parts Supply | Commercial
Disaggregation of revenue by major customer markets
Net sales	254.5	210.4
Parts Supply | Government and defense
Disaggregation of revenue by major customer markets
Net sales	63.3	39.3
Repair & Engineering
Disaggregation of revenue by major customer markets
Net sales	214.6	217.6
Repair & Engineering | Commercial
Disaggregation of revenue by major customer markets
Net sales	195.7	191.2
Repair & Engineering | Government and defense
Disaggregation of revenue by major customer markets
Net sales	18.9	26.4
Integrated Solutions
Disaggregation of revenue by major customer markets
Net sales	185.0	168.9
Integrated Solutions | Commercial
Disaggregation of revenue by major customer markets
Net sales	72.4	70.0
Integrated Solutions | Government and defense
Disaggregation of revenue by major customer markets
Net sales	112.6	98.9
Expeditionary Services
Disaggregation of revenue by major customer markets
Net sales	22.2	25.5
Expeditionary Services | Commercial
Disaggregation of revenue by major customer markets
Net sales	0.7	1.3
Expeditionary Services | Government and defense
Disaggregation of revenue by major customer markets
Net sales	21.5	24.2
Aviation Services
Disaggregation of revenue by major customer markets
Net sales	739.6	661.7
Aviation Services | U.S./Canada
Disaggregation of revenue by major customer markets
Net sales	519.1	473.4
Aviation Services | Europe/Africa
Disaggregation of revenue by major customer markets
Net sales	99.7	108.8
Aviation Services | Asia/South Pacific
Disaggregation of revenue by major customer markets
Net sales	89.7	64.0
Aviation Services | Other
Disaggregation of revenue by major customer markets
Net sales	$ 31.1	$ 15.5