Business Segment Information - Reconciliation of Gross Profit to Income (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022
Reconciliation of segment gross profit to income from continuing operations before provision for income taxes
Segment gross profit	$ 94.3	$ 80.4	$ 262.0	$ 223.4
Selling, general and administrative	(56.7)	(48.9)	(159.6)	(145.3)
Loss from joint ventures	(1.7)	(1.1)	(3.0)	(1.7)
Provision for credit losses	(1.9)	(0.1)	(1.8)	(0.9)
Losses related to sale and exit of business	(0.4)		(0.5)	(1.3)
Other income (expense), net	(0.3)	1.1	0.4	2.1
Interest expense	(3.8)	(0.6)	(7.0)	(1.8)
Interest income	0.3		0.5	0.1
Income from continuing operations before provision for income taxes	$ 29.8	$ 30.8	$ 91.0	$ 74.6