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Employee Benefit Plans - Schedule of Fair Value and Allocation of Plan Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 80.5 $ 85.0  
Cash And Cash Equivalents      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.2 0.2  
Foreign government obligations      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 21.4 20.5  
Common collective trusts      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 58.9 $ 64.3  
International      
Defined Benefit Plan Disclosure      
Percentage of Plan Assets at Year End 10000.00% 10000.00%  
Defined Benefit Plan, Fair Value of Plan Assets $ 80.5 $ 85.0 $ 92.0
International | Level 1      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.2 0.2  
International | Level 2      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 80.3 $ 84.8  
International | Fixed income      
Defined Benefit Plan Disclosure      
Targeted Asset Allocation Percentage 20.00%    
Percentage of Plan Assets at Year End 2700.00% 2400.00%  
International | Cash And Cash Equivalents | Level 1      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 0.2 $ 0.2  
International | Cash And Cash Equivalents | Level 2      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.0 0.0  
International | Foreign government obligations | Level 1      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.0 0.0  
International | Foreign government obligations | Level 2      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 21.4 $ 20.5  
International | Common collective trusts      
Defined Benefit Plan Disclosure      
Targeted Asset Allocation Percentage 80.00%    
Percentage of Plan Assets at Year End 7300.00% 7600.00%  
International | Common collective trusts | Level 1      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 0.0 $ 0.0  
International | Common collective trusts | Level 2      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 58.9 $ 64.3