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Earnings Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 6 Months Ended
Feb. 26, 2022
Feb. 27, 2021
Feb. 26, 2022
Feb. 27, 2021
Earnings Per Share [Abstract]        
Net income $ 91,175 $ 69,068 $ 190,805 $ 126,491
Weighted average common shares outstanding (in shares) 33,098,000 33,533,000 33,210,000 33,571,000
Dilutive impact of stock compensation awards (in shares) 458,000 270,000 511,000 250,000
Dilutive impact of convertible notes (in shares) 378,000 107,000 447,000 0
Weighted average common shares outstanding, assuming dilution (in shares) 33,934,000 33,910,000 34,168,000 33,821,000
Anti-dilutive securities excluded from weighted average common shares outstanding, assuming dilution (in shares) 40,000 0 112,000 53,000
Basic earnings per common share (in dollars per share) $ 2.75 $ 2.06 $ 5.75 $ 3.77
Diluted earnings per common share (in dollars per share) $ 2.69 $ 2.04 $ 5.58 $ 3.74