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Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Fair Value Reconciliation of Level 3 (Details)
$ in Thousands
9 Months Ended
Feb. 24, 2019
USD ($)
Defined Benefit Plan, Change in Fair Value of Plan Assets, Level 3 Reconciliation [Roll Forward]  
Balance $ 66,500
Balance 68,100
Windset Investment  
Defined Benefit Plan, Change in Fair Value of Plan Assets, Level 3 Reconciliation [Roll Forward]  
Balance 66,500
Fair value change 1,600
Balance 68,100
Contingent Consideration Liability  
Defined Benefit Plan, Change in Fair Value of Plan Assets, Level 3 Reconciliation [Roll Forward]  
Balance 4,000
Fair value change (3,500)
Balance $ 500