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Accumulated Other Comprehensive Income (Loss) - Reclassification out of AOCI (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Nov. 30, 2016
Nov. 30, 2015
Nov. 30, 2016
Nov. 30, 2015
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]        
Less: Tax effect $ (43.1) $ (41.6) $ (19.2) $ (10.9)
Net income (loss) 67.9 64.9 28.3 15.5
Amount reclassified from Accumulated other comprehensive income (loss) | Retirement benefit plans        
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]        
Amortization of prior service cost (credit) 0.0 0.0 0.0 0.0
Amortization of unrecognized gain (loss) included in net periodic cost (credit) 1.1 1.2 2.1 2.2
Less: Tax effect (0.4) (0.4) (0.7) (0.7)
Net income (loss) $ 0.7 $ 0.8 $ 1.4 $ 1.5