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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Feb. 24, 2024
Feb. 25, 2023
Feb. 24, 2024
Feb. 25, 2023
Earnings Per Share [Abstract]        
Net (loss) income $ (12.7) $ 52.8 $ 13.1 $ 113.0
Weighted average common shares outstanding (in shares) 29.2 30.5 29.4 30.5
Basic (loss) earnings per common share (in dollars per share) $ (0.43) $ 1.73 $ 0.45 $ 3.71
Interest expense on convertible notes, net of tax $ 0.0 $ 1.2 $ 0.0 $ 2.4
Diluted net (loss) income $ (12.7) $ 54.0 $ 13.1 $ 115.4
Dilutive impact of stock compensation awards (in shares) 0.0 0.3 0.3 0.3
Dilutive impact of convertible notes (in shares) 0.0 4.7 0.0 4.7
Weighted average common shares outstanding, assuming dilution (in shares) 29.2 35.5 29.7 35.5
Anti-dilutive securities excluded from weighted average common shares outstanding, assuming dilution (in shares) 0.5 0.2 0.2 0.1
Diluted (loss) earnings per common share (in dollars per share) $ (0.43) $ 1.52 $ 0.44 $ 3.25