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Restructuring and Related Activities (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Restructuring and Related Activities [Abstract]        
Restructuring Charges $ 5,862 $ 1,595 $ 5,862 $ 4,393