Business Segment Information - Customers Percentage of Sales (Details) - USD ($) $ in Millions	12 Months Ended
	May 31, 2026	May 31, 2025	May 31, 2024
Business Segment Information
Net sales	$ 3,308.0	$ 2,780.5	$ 2,318.9
DoW, DoS, other U.S. government agencies and their contractors
Business Segment Information
Net sales	787.8	687.6	576.1
Parts Supply
Business Segment Information
Net sales	1,487.7	1,099.6	967.0
Parts Supply \| DoW, DoS, other U.S. government agencies and their contractors
Business Segment Information
Net sales	253.3	143.3	99.3
Parts Supply \| Commercial
Business Segment Information
Net sales	1,153.4	879.2	800.6
Parts Supply \| Government and defense
Business Segment Information
Net sales	334.3	220.4	166.4
Repair, Engineering, and Software
Business Segment Information
Net sales	1,080.8	931.0	681.3
Repair, Engineering, and Software \| DoW, DoS, other U.S. government agencies and their contractors
Business Segment Information
Net sales	79.5	82.2	62.0
Repair, Engineering, and Software \| Commercial
Business Segment Information
Net sales	990.2	838.4	612.3
Repair, Engineering, and Software \| Government and defense
Business Segment Information
Net sales	90.6	92.6	69.0
Government Solutions
Business Segment Information
Net sales	502.3	495.4	451.7
Government Solutions \| DoW, DoS, other U.S. government agencies and their contractors
Business Segment Information
Net sales	455.0	462.1	414.8
Government Solutions \| Commercial
Business Segment Information
Net sales	3.3	4.0	6.1
Government Solutions \| Government and defense
Business Segment Information
Net sales	499.0	491.4	445.6
Legacy Commercial Programs
Business Segment Information
Net sales	237.2	254.5	218.9
Legacy Commercial Programs \| Commercial
Business Segment Information
Net sales	$ 237.2	$ 254.5	$ 218.9
Customer \| Total sales \| DoW, DoS, other U.S. government agencies and their contractors
Business Segment Information
Percentage of total sales	23.80%	24.70%	24.80%