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Commitments and Contingencies - Narrative (Details) - USD ($)
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
Outstanding commitments for purchase obligations $ 140,200,000  
Performance Guarantee    
Maximum financial exposure 9,200,000  
Guarantor obligation liability 0 $ 0
Financial Standby Letter of Credit    
Maximum financial exposure 12,700,000  
Guarantor obligation liability $ 0 $ 0
Minimum | Performance Guarantee    
Term of guarantee arrangements 1 year  
Maximum | Performance Guarantee    
Term of guarantee arrangements 3 years