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Earnings Per Share - Schedule of Earnings Per Share, Basic and Diluted (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
 3 Months Ended 6 Months Ended
Feb. 29, 2024
Nov. 30, 2023
Feb. 28, 2023
Nov. 30, 2022
Feb. 29, 2024
Feb. 28, 2023
Earnings Per Share [Abstract]            
Net income $ 89.2 $ 100.6 $ 83.2 $ 74.9 $ 189.8 $ 158.1
Basic weighted average shares outstanding (in shares) [1] 30,864   32,048   30,940 32,178
Common stock equivalents (in shares) 535   338   448 367
Diluted weighted average shares outstanding (in shares) [1] 31,399   32,386   31,388 32,545
Basic earnings per share (in dollars per share) [1] $ 2.89   $ 2.60   $ 6.13 $ 4.91
Diluted earnings per share (in dollars per share) [1] $ 2.84   $ 2.57   $ 6.05 $ 4.86
[1] Earnings per share is calculated using unrounded numbers. Amounts in the table may not recalculate exactly due to rounding.