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Critical Accounting Policies and Estimates - Additional Information (Details) - USD ($)
$ in Millions
9 Months Ended
Mar. 02, 2024
May 27, 2023
Critical Accounting Policies And Estimates [Line Items]    
Finished goods $ 95.1 $ 93.4
Raw material 12.9 11.8
Work in progress 4.6 5.2
Inventory valuation reserves $ 6.0 5.9
Weighted average number of years of amortization expense 10 years 4 months 24 days  
Warranty reserves $ 0.7 $ 0.7
Maximum    
Critical Accounting Policies And Estimates [Line Items]    
Services revenue recognized as percentage of aggregate revenue 5.00%