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Leases (Narrative) (Details) - USD ($)
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Leases [Abstract]    
Lease expense $ 2,100,000 $ 2,000,000
Lease expense classified within cost of products sold 500,000 300,000
Lease payments $ 2,400,000 $ 2,100,000
Weighted-average lease term 5 years 10 months 24 days 6 years 6 months
Weighted-average discount rate 3.40% 3.10%
Prepaid deposits $ 3,800,000  
Leases not yet commenced, amount 1,600,000  
Short term lease 0  
Additional right-of-use assets $ 1,700,000