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Fair Value Measurements - Additional Information (Details)
3 Months Ended 6 Months Ended
Nov. 27, 2021
USD ($)
derivative_instrument
Nov. 28, 2020
USD ($)
Nov. 27, 2021
USD ($)
derivative_instrument
Nov. 28, 2020
USD ($)
May 29, 2021
USD ($)
Derivative [Line Items]          
Number of outstanding interest rate swap agreements | derivative_instrument 2   2    
Gain (loss) recognized in earnings for hedge ineffectiveness $ 0 $ 0 $ 0 $ 0  
Derivative instruments, loss expected to be reclassified from accumulated other comprehensive income     4,200,000 4,200,000  
Derivative instruments, loss expected to be reclassified from accumulated other comprehensive income, net of tax     3,200,000 $ 3,200,000  
Interest rate swap agreement | Other Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring          
Derivative [Line Items]          
Interest rate swap agreement - liability $ 10,400,000   $ 10,400,000   $ 14,400,000