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Leases (Narrative) (Details) - USD ($)
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Leases [Abstract]    
Short term lease $ 0  
Additional right-of-use assets 2,200,000  
Lease expense 2,000,000.0 $ 2,100,000
Lease payments 2,100,000 2,000,000.0
Lease expense classified within cost of products sold $ 300,000 $ 600,000
Weighted-average lease term 6 years 6 months 6 years 8 months 12 days
Weighted-average discount rate 3.10% 2.80%
Leases not yet commenced, amount $ 1,200,000