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Business Combinations (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 25, 2024
May 27, 2023
May 25, 2024
May 27, 2023
Apr. 28, 2023
Business Acquisition [Line Items]          
Acquisition-related costs $ 0.0 $ 3.9 $ 1.5 $ 5.6  
Lithionics          
Business Acquisition [Line Items]          
Percent of voting interest acquired         100.00%
Acquisition-related costs   $ 3.1