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Repurchase of Shares - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended |  |
--- | --- | --- | ---
Sep. 30, 2023 | Aug. 02, 2023 | May 12, 2021
Equity, Class of Treasury Stock [Line Items] |  |  |
Share repurchase program, Authorized amount |  | $ 1,100.0 | $ 1,000.0
Treasury Stock | 5,424,000 |  |
Average price at which ordinary shares are repurchased | $ 90.23 |  |
Share Repurchase Program 2021And August 2023 Plans [Member] |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |
Remaining authority to repurchase outstanding ordinary shares | $ 1,100.7 |  |

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