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Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Narrative (Details)
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 09, 2021
USD ($)
Jun. 01, 2021
USD ($)
Sep. 02, 2020
USD ($)
plaintiff
Feb. 27, 2022
USD ($)
product
revenue
Feb. 28, 2021
USD ($)
Nov. 29, 2020
USD ($)
Aug. 30, 2020
USD ($)
Feb. 27, 2022
USD ($)
product
revenue
Feb. 28, 2021
USD ($)
May 30, 2021
USD ($)
May 31, 2020
USD ($)
Dec. 13, 2021
USD ($)
May 31, 2021
Nov. 03, 2020
USD ($)
Jul. 15, 2014
Related Party Transaction [Line Items]                              
Number of product category | product       2       2              
Number of revenue category | revenue       3       3              
Repayments of borrowings under credit agreement               $ 67,900,000              
Loss on sale of Eat Smart               4,354,000 $ 0            
Debt issuance cost, current portion       $ 1,400,000       1,400,000   $ 1,400,000          
Debt issuance cost, noncurrent portion       4,100,000       4,100,000   5,100,000          
Cash flow hedge expected to be reclassified within twelve months               300,000              
Proceeds from sales of property and equipment               1,096,000 12,885,000            
Gain on sale of property               (25,000) (39,000)            
Sale of Investment in non-public company               45,100,000 0            
Revenue recognized included in the contract liability       0       200,000              
Deferred revenue       1,614,000       1,614,000   637,000          
Former owner, plaintiff | plaintiff     1                        
Insurance recoveries         $ 1,600,000                    
Transferred at Point in Time                              
Related Party Transaction [Line Items]                              
Revenue recognized included in the contract liability       1,500,000       1,500,000              
Windset                              
Related Party Transaction [Line Items]                              
Investment ownership percentage                             26.90%
Sale of Investment in non-public company   $ 45,100,000                          
Eat Smart | Disposal Group, Disposed of by Sale, Not Discontinued Operations                              
Related Party Transaction [Line Items]                              
Consideration for disposition                       $ 73,500,000      
Loss on sale of Eat Smart       4,400,000       4,400,000              
Windset                              
Related Party Transaction [Line Items]                              
Investment ownership percentage                         26.90%    
Gain (loss) on investment   $ 0                          
Regulatory Permitting At Tanok Facility In Mexico                              
Related Party Transaction [Line Items]                              
Damages sought     $ 10,000,000                        
Unbilled Revenues                              
Related Party Transaction [Line Items]                              
Contract with customer, assets       13,900,000       13,900,000   10,600,000          
Deferred revenue       1,600,000       1,600,000   900,000          
Eat Smart                              
Related Party Transaction [Line Items]                              
Goodwill, impairment loss       0       $ 32,100,000              
Minimum                              
Related Party Transaction [Line Items]                              
Loss contingency, minimum amount of damages                           $ 80,000,000  
Customer relationships, net                              
Related Party Transaction [Line Items]                              
Useful life (in years)               12 years              
Salad Dressing Plant In Ontario, California                              
Related Party Transaction [Line Items]                              
Impairment of assets held for sale                     $ 10,900,000        
Proceeds from sales of property and equipment                 4,900,000            
Gain on sale of property                 2,800,000            
Manufacturing Operations in Hanover, Pennsylvania                              
Related Party Transaction [Line Items]                              
Impairment of assets held for sale             $ 8,800,000                
Manufacturing Operations in Hanover, Pennsylvania | Asset reclassification from property and equipment to other current assets                              
Related Party Transaction [Line Items]                              
Gain on sale of property           $ 0                  
Proceeds from sale of property held-for-sale           $ 8,000,000                  
Rock Hill South Carolina Distribution Facility                              
Related Party Transaction [Line Items]                              
Impairment of assets held for sale                   0          
Proceeds from sales of property and equipment $ 1,100,000                            
Gain on sale of property $ 600,000                            
Assets held for sale                   500,000          
Prepaid Expenses and Other Current Assets                              
Related Party Transaction [Line Items]                              
Debt issuance costs       700,000       $ 700,000   700,000          
Other Assets                              
Related Party Transaction [Line Items]                              
Debt issuance costs       $ 1,900,000       $ 1,900,000   2,400,000          
Windset                              
Related Party Transaction [Line Items]                              
Related accounts receivable                   $ 100,000          
Cost of product sales | Windset                              
Related Party Transaction [Line Items]                              
Revenue from related parties         $ 200,000       $ 400,000