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Stockholders' Equity - Schedule of Common Stock Outstanding (Details) - shares | 12 Months Ended
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Aug. 31, 2025 | Aug. 31, 2024 | Aug. 31, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |
Common stock outstanding, beginning balances (in shares) | 113,744,167 |  |
Treasury shares purchased (in shares) | (2,800,000) | (11,300,000) | (6,700,000)
Common stock outstanding, ending balance (in shares) | 107,480,895 | 113,744,167 |
Common stock: |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |
Common stock outstanding, beginning balances (in shares) | 113,744,167 | 131,294,422 | 135,493,980
Shares issued under employee stock purchase plan (in shares) | 593,727 | 628,960 | 1,043,294
Vesting of restricted stock (in shares) | 1,117,182 | 1,802,380 | 2,014,802
Purchases of treasury stock under employee stock plans (in shares) | (330,256) | (537,318) | (571,606)
Treasury shares purchased (in shares) | (7,643,925) | (19,444,277) | (6,686,048)
Common stock outstanding, ending balance (in shares) | 107,480,895 | 113,744,167 | 131,294,422

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