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Subsequent Event (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
Subsequent Event (Details) - USD ($) $ in Millions	May 27, 2018	Feb. 25, 2018	Feb. 26, 2017	Feb. 25, 2018	Feb. 26, 2017
Subsequent Event [Line Items]
Total charges		$ 7.6	$ 94.0	$ 27.3	$ 208.3
Cash payments				$ 39.6	$ 67.1
Subsequent Event [Member] \| Q4 2018 Global Cost Saving Initiative [Member] \| Forecast [Member]
Subsequent Event [Line Items]
Expected completion date of actions	May 26, 2019
Subsequent Event [Member] \| Q4 2018 Global Cost Saving Initiative [Member] \| Forecast [Member] \| Minimum [Member]
Subsequent Event [Line Items]
Total charges	$ 40.0
Cash payments	40.0
Subsequent Event [Member] \| Q4 2018 Global Cost Saving Initiative [Member] \| Forecast [Member] \| Maximum [Member]
Subsequent Event [Line Items]
Total charges	60.0
Cash payments	$ 60.0