Basis of Presentation (Details) - USD ($) $ in Millions	9 Months Ended
	Feb. 29, 2020	Jun. 01, 2019	May 31, 2019
New accounting pronouncements adopted
Revenue, practical expedient application of ASC 606	true
Assets of discontinued operations		$ 55.8	$ 29.2
Other current assets	$ 85.9	35.7	36.2
Intangible assets, net	12.0	13.7	22.2
Operating lease ROU assets	99.4	96.6
Other non-current assets	80.9	75.7	77.5
Accrued liabilities	149.8	150.5	140.5
Liabilities of discontinued operations	40.4	54.5	29.2
Operating lease liabilities	80.0	77.7
Other liabilities	26.9	25.2	28.3
Retained earnings	$ 725.1	712.3	$ 709.8
Unamortized deferred gains		2.5
Held for sale or Disposed
New accounting pronouncements adopted
Operating lease liabilities		25.3
ASC 842
New accounting pronouncements adopted
Assets of discontinued operations		26.6
Other current assets		(0.5)
Intangible assets, net		(8.5)
Operating lease ROU assets		96.6
Other non-current assets		(1.8)
Accrued liabilities		10.0
Liabilities of discontinued operations		25.3
Operating lease liabilities		77.7
Other liabilities		(3.1)
Retained earnings		2.5
ASC 842 | Right of use including discontinued operations
New accounting pronouncements adopted
Operating lease ROU assets		123.2
Operating lease liabilities		116.8
ASC 842 | Held for sale or Disposed
New accounting pronouncements adopted
Operating lease ROU assets		$ 26.6