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Leases - Narrative (Details) - USD ($)
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Leases [Abstract]    
Lease expense $ 2,300,000 $ 2,100,000
Lease expense classified within cost of products sold 1,000,000.0 500,000
Lease payments $ 2,600,000 $ 2,400,000
Weighted-average lease term 5 years 5 years 10 months 24 days
Weighted-average discount rate 5.00% 3.40%
Leases not yet commenced, amount $ 0  
Short term lease 0  
Additional right-of-use assets $ 1,700,000  
Prepaid deposit   $ 3,800,000