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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, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Numerator                      
Net income attributable to Amdocs Limited $ 102,011 $ 159,428 $ 149,603 $ 129,667 $ 128,936 $ 128,466 $ 158,497 $ 133,602 $ 540,709 $ 549,501 $ 688,374
Net income attributable to Amdocs Limited and dividends attributable to participating restricted stock                 (9,169) (7,880) (7,052)
Numerator for basic earnings per common share                 531,540 541,621 681,322
Undistributed income allocated to participating restricted stock                 5,719 5,159 5,199
Undistributed income reallocated to participating restricted stock                 (5,679) (5,124) (5,167)
Numerator for diluted earnings per common share                 $ 531,580 $ 541,656 $ 681,354
Denominator                      
Weighted average number of shares outstanding — basic                 119,687 122,812 128,495
Weighted average number of participating restricted stock                 (2,030) (1,761) (1,316)
Weighted average number of common shares — basic                 117,657 121,051 127,179
Effect of dilutive equity-based compensation awards                 832 838 789
Weighted average number of common shares — diluted                 118,489 121,889 127,968
Basic earnings per share attributable to Amdocs Limited $ 0.86 $ 1.33 $ 1.24 $ 1.07 $ 1.06 $ 1.05 $ 1.29 $ 1.07 $ 4.52 $ 4.47 $ 5.36
Diluted earnings per share attributable to Amdocs Limited $ 0.86 $ 1.32 $ 1.23 $ 1.07 $ 1.05 $ 1.04 $ 1.28 $ 1.07 $ 4.49 $ 4.44 $ 5.32