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Earnings Per Share - Computation of Basic and Diluted Earnings Per Share (Detail) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 12 Months Ended
Sep. 30, 2024
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Numerator                      
Net Income (Loss) $ 86,441 $ 140,289 $ 118,502 $ 147,965 $ 102,011 $ 159,428 $ 149,603 $ 129,667 $ 493,197 $ 540,709 $ 549,501
Net income and dividends attributable to participating restricted stock                 (9,338) (9,169) (7,880)
Numerator for basic earnings per common share                 483,859 531,540 541,621
Undistributed income allocated to participating restricted stock                 5,245 5,719 5,159
Undistributed income reallocated to participating restricted stock                 (5,215) (5,679) (5,124)
Numerator for diluted earnings per common share                 $ 483,889 $ 531,580 $ 541,656
Denominator                      
Weighted average number of shares outstanding - basic                 115,489 119,687 122,812
Weighted average number of participating restricted stock                 (2,187) (2,030) (1,761)
Weighted average number of common shares - basic                 113,302 117,657 121,051
Effect of dilutive equity-based compensation awards                 656 832 838
Weighted average number of common shares - diluted                 113,958 118,489 121,889
Basic earnings per share attributable to Amdocs Limited $ 0.76 $ 1.22 $ 1.02 $ 1.27 $ 0.86 $ 1.33 $ 1.24 $ 1.07 $ 4.27 $ 4.52 $ 4.47
Diluted earnings per share attributable to Amdocs Limited $ 0.76 $ 1.21 $ 1.01 $ 1.26 $ 0.86 $ 1.32 $ 1.23 $ 1.07 $ 4.25 $ 4.49 $ 4.44