Stockholders' Equity (Schedule of Reclassification Adjustments out of Accumulated Other Comprehensive Income) (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Nov. 26, 2017	Nov. 27, 2016	Nov. 26, 2017	Nov. 27, 2016
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Earnings before income taxes	$ 113.4	$ 107.0	$ 272.9	$ 258.4
Tax benefit (expense)	(24.8)	(27.3)	(63.0)	(67.6)
Earnings from continuing operations	88.6	79.7	209.9	190.8
Derivatives \| Amount Reclassified from AOCI into Net Earnings
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Earnings before income taxes	0.0	0.0	(0.2)	(1.4)
Tax benefit (expense)	0.0	0.0	0.0	0.0
Earnings from continuing operations	0.0	0.0	(0.2)	(1.4)
Derivatives \| Equity contracts \| Amount Reclassified from AOCI into Net Earnings
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
General and administrative expenses	0.0	0.0	(0.2)	(1.4)
Accumulated defined benefit plans adjustment, net gain (loss) attributable to parent \| Pension and postretirement plan \| Amount Reclassified from AOCI into Net Earnings
Defined Benefit Plan, Amounts Recognized in Other Comprehensive Income (Loss) [Abstract]
Reclassification adjustment from AOCI pension and other postretirement benefit plans, before tax	(0.7)	(0.8)	(1.4)	(1.6)
Accumulated defined benefit plans adjustment, net gain (loss) attributable to parent \| Other plans \| Amount Reclassified from AOCI into Net Earnings
Defined Benefit Plan, Amounts Recognized in Other Comprehensive Income (Loss) [Abstract]
Reclassification adjustment from AOCI pension and other postretirement benefit plans, before tax	0.7	0.5	1.5	1.1
Benefit plan funding position \| Amount Reclassified from AOCI into Net Earnings
Defined Benefit Plan, Amounts Recognized in Other Comprehensive Income (Loss) [Abstract]
Reclassification adjustment from AOCI pension and other postretirement benefit plans, before tax	0.0	(0.3)	0.1	(0.5)
Pension and other postretirement benefit plans, tax benefit (expense)	0.0	0.1	0.0	0.2
Net earnings	$ 0.0	$ (0.2)	$ 0.1	$ (0.3)

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