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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, 2017
Nov. 30, 2016
Nov. 30, 2017
Nov. 30, 2016
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]        
Less: Tax effect $ (34.6) $ (43.1) $ 3.3 $ (19.2)
Net income (loss) 57.1 67.9 (6.6) 28.3
Amount reclassified from Accumulated other comprehensive income (loss) | Retirement benefit plans        
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]        
Amortization of unrecognized gain (loss) included in net periodic benefit (cost) 0.6 1.1 1.2 2.1
Settlement charge (15.4) 0.0 (15.4) 0.0
Less: Tax effect (6.3) (0.4) (6.4) (0.7)
Net income (loss) $ 9.7 $ 0.7 $ 10.2 $ 1.4