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Business Combinations - Narrative (Details) $ in Thousands |  |  | 3 Months Ended | 4 Months Ended | 6 Months Ended |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Jan. 20, 2022 USD ($) | Oct. 04, 2021 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Jan. 31, 2022 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Jun. 30, 2022 USD ($) | Mar. 31, 2022 USD ($) | Oct. 04, 2021 ¥ / shares
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  | $ 1,051,294 |  |  | $ 1,051,294 |  |  | $ 1,070,442 |
Provision for income taxes |  |  | 23,537 | $ 43,583 |  | 28,576 | $ 65,400 |  |  |
GCA Corporation |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Investment interest in Italy (as a percent) |  | 90.00% |  |  |  |  |  |  |  |
Payments to acquire businesses, gross | $ 57,686 | $ 531,883 |  |  | $ 589,569 |  |  |  |  |
Cash consideration per share | ¥ / shares |  |  |  |  |  |  |  |  |  | ¥ 1,398
Goodwill |  | $ 393,300 | 393,254 |  |  | 393,254 |  | $ 394,214 |  |
GCA Corporation | Acquisition-related Costs |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Business combination, acquisition related costs |  |  | 0 | (1,006) |  | 0 | (1,077) |  |  |
Amortization |  |  | (14,688) | 2,138 |  | (29,306) | 11,680 |  |  |
Provision for income taxes |  |  | $ 4,098 | $ (316) |  | $ 5,246 | $ (2,619) |  |  |

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