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Business Segment, Geographic and Customer Information - Additional Information (Detail)
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Segment Reporting Information [Line Items]      
Largest customer sales in fiscal year, percent 3.00% 3.00% 3.00%
Percentage Of Export Sales From Domestic To Total Net Sales 7.90% 9.90% 9.80%