Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 28, 2026	Feb. 28, 2025	Feb. 28, 2026	Feb. 28, 2025
Disaggregation of revenue by major customer markets
Net sales	$ 845.1	$ 678.2	$ 2,380.0	$ 2,026.0
Parts Supply
Disaggregation of revenue by major customer markets
Net sales	392.5	270.7	1,063.9	794.1
Parts Supply | Commercial
Disaggregation of revenue by major customer markets
Net sales	300.0	220.9	822.6	652.1
Parts Supply | Government and defense
Disaggregation of revenue by major customer markets
Net sales	92.5	49.8	241.3	142.0
Repair & Engineering
Disaggregation of revenue by major customer markets
Net sales	265.3	215.9	724.4	662.3
Repair & Engineering | Commercial
Disaggregation of revenue by major customer markets
Net sales	245.8	193.6	665.6	591.5
Repair & Engineering | Government and defense
Disaggregation of revenue by major customer markets
Net sales	19.5	22.3	58.8	70.8
Integrated Solutions
Disaggregation of revenue by major customer markets
Net sales	167.8	162.9	528.6	495.2
Integrated Solutions | Commercial
Disaggregation of revenue by major customer markets
Net sales	68.7	69.4	214.1	211.4
Integrated Solutions | Government and defense
Disaggregation of revenue by major customer markets
Net sales	99.1	93.5	314.5	283.8
Expeditionary Services
Disaggregation of revenue by major customer markets
Net sales	19.5	28.7	63.1	74.4
Expeditionary Services | Commercial
Disaggregation of revenue by major customer markets
Net sales	1.3	1.6	3.2	3.6
Expeditionary Services | Government and defense
Disaggregation of revenue by major customer markets
Net sales	18.2	27.1	59.9	70.8
Aviation Services
Disaggregation of revenue by major customer markets
Net sales	845.1	678.2	2,380.0	2,026.0
Aviation Services | U.S./Canada
Disaggregation of revenue by major customer markets
Net sales	594.7	494.8	1,691.1	1,468.6
Aviation Services | Europe/Africa
Disaggregation of revenue by major customer markets
Net sales	144.7	98.7	345.4	316.3
Aviation Services | Asia/South Pacific
Disaggregation of revenue by major customer markets
Net sales	92.3	75.0	284.7	204.6
Aviation Services | Other
Disaggregation of revenue by major customer markets
Net sales	$ 13.4	$ 9.7	$ 58.8	$ 36.5