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Restructuring Initiatives (Narrative) (Details)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 25, 2018
USD ($)
Feb. 26, 2017
USD ($)
Feb. 25, 2018
USD ($)
positions
Feb. 26, 2017
USD ($)
Restructuring and Related Cost [Line Items]        
Net restructuring charges $ 7.6 $ 94.0 $ 27.3 $ 208.3
Cash payments for restructuring     39.6 67.1
Payments for other project-related costs     $ 8.0 40.2
Q3 2017 Organizational Restructuring Realignment [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring action initiation date     Feb. 26, 2017  
Restructuring action completion date     May 27, 2018  
Number of positions affected | positions     600  
Expected net expense of restructuring action 76.0   $ 76.0  
Expected cash payments for restructuring     76.0  
Net restructuring charges   73.1 $ 1.4  
Q2 2017 Melbourne Pasta Manufacturing Facility Closure [Member] | Europe & Australia [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring action initiation date     Nov. 27, 2016  
Restructuring action completion date     May 26, 2019  
Number of positions affected | positions     350  
Expected net expense of restructuring action 34.0   $ 34.0  
Expected cash payments for restructuring     3.0  
Net restructuring charges 3.1 5.7 $ 8.0 17.7
Q1 2017 Certain Product Lines Restructuring [Member] | Asia & Latin America [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring action initiation date     Aug. 28, 2016  
Restructuring action completion date     May 26, 2019  
Expected net expense of restructuring action 42.0   $ 42.0  
Expected cash payments for restructuring     6.0  
Net restructuring charges   2.3 $ 0.0 45.6
Q1 2017 Brazilian Facilities Restructuring [Member] | Asia & Latin America [Member]        
Restructuring and Related Cost [Line Items]        
Number of positions affected | positions     420  
Q1 2017 China Facilities Restructuring [Member] | Asia & Latin America [Member]        
Restructuring and Related Cost [Line Items]        
Number of positions affected | positions     440  
Q1 2017 Vineland Facility Closure [Member] | North America Retail Segment [Member]        
Restructuring and Related Cost [Line Items]        
Restructuring action initiation date     Aug. 28, 2016  
Restructuring action completion date     May 27, 2018  
Number of positions affected | positions     380  
Expected net expense of restructuring action 54.0   $ 54.0  
Expected cash payments for restructuring     11.0  
Net restructuring charges $ 0.2 $ 7.7 $ 12.3 $ 35.6