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Earnings Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 9 Months Ended
May 28, 2022
May 29, 2021
May 28, 2022
May 29, 2021
Earnings Per Share [Abstract]        
Net income $ 117,222 $ 71,295 $ 308,027 $ 197,786
Weighted average common shares outstanding (in shares) 32,389,000 33,552,000 32,936,000 33,565,000
Dilutive impact of stock compensation awards (in shares) 466,000 384,000 504,000 302,000
Dilutive impact of convertible notes (in shares) 0 836,000 119,000 76,000
Weighted average common shares outstanding, assuming dilution (in shares) 32,855,000 34,772,000 33,559,000 33,943,000
Anti-dilutive securities excluded from weighted average common shares outstanding, assuming dilution (in shares) 199,000 1,000 174,000 46,000
Basic earnings per common share (in dollars per share) $ 3.62 $ 2.12 $ 9.35 $ 5.89
Diluted earnings per common share (in dollars per share) $ 3.57 $ 2.05 $ 9.18 $ 5.83