Consolidated Statements of Comprehensive Income - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 27, 2022	Feb. 28, 2021	Feb. 27, 2022	Feb. 28, 2021
Other comprehensive income (loss) - pre-tax amount:
Net income	$ 137.7	$ 82.4	$ 218.3	$ 328.5
Reclassification of post-retirement benefits out of accumulated other comprehensive income (loss)	0.1	0.1	0.3	0.2
Unrealized currency translation gains (losses)	0.1	16.9	(39.3)	66.9
Other	0.4		0.4
Comprehensive income	138.3	99.4	179.7	395.6
Other comprehensive income (loss) - tax (expense) benefit:
Net income	(31.1)	(16.3)	(49.4)	(76.2)
Reclassification of post-retirement benefits out of accumulated other comprehensive income (loss)		(0.1)		(0.1)
Unrealized currency translation gains (losses)	(0.4)	(1.1)	1.8	(3.7)
Other	(0.1)		(0.1)
Comprehensive income	(31.6)	(17.5)	(47.7)	(80.0)
Other comprehensive income (loss) - after tax amount:
Net income	106.6	66.1	168.9	252.3
Reclassification of post-retirement benefits out of accumulated other comprehensive income (loss)	0.1		0.3	0.1
Unrealized currency translation gains (losses)	(0.3)	15.8	(37.5)	63.2
Other	0.3		0.3
Comprehensive income	$ 106.7	$ 81.9	$ 132.0	$ 315.6