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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, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Numerator                      
Net income $ 123,525 $ 146,150 $ 119,067 $ 299,632 $ 134,463 $ 120,407 $ 127,038 $ 115,932 $ 688,374 [1] $ 497,840 [1] $ 479,446 [1]
Net income and dividends attributable to participating restricted shares                 (7,052) (3,663) (3,295)
Numerator for basic earnings per common share                 681,322 494,177 476,151
Undistributed income allocated to participating restricted shares                 5,199 2,417 2,252
Undistributed income reallocated to participating restricted shares                 (5,167) (2,406) (2,240)
Numerator for diluted earnings per common share                 $ 681,354 $ 494,188 $ 476,163
Denominator                      
Weighted average number of shares outstanding - basic                 128,495 133,590 137,418
Weighted average number of participating restricted shares                 (1,316) (983) (944)
Weighted average number of common shares - basic                 127,179 132,607 136,474
Effect of dilutive stock options granted                 789 642 691
Weighted average number of common shares - diluted                 127,968 133,249 137,165
Basic earnings per common share $ 0.98 $ 1.15 $ 0.92 $ 2.29 $ 1.02 $ 0.90 $ 0.95 $ 0.86 $ 5.36 $ 3.73 $ 3.49
Diluted earnings per common share $ 0.97 $ 1.14 $ 0.91 $ 2.28 $ 1.01 $ 0.90 $ 0.94 $ 0.85 $ 5.32 $ 3.71 $ 3.47
[1] In fiscal years 2021, 2020 and 2019, all of the Company’s net income is attributable to Amdocs Limited as the net income attributable to the Non-controlling interests is negligible.