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Acquisitions - (Additional Information) (Detail) - USD ($) $ / shares in Units, $ in Thousands |  | 3 Months Ended | 6 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Dec. 07, 2018 | Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2019 | Sep. 30, 2018 | Mar. 31, 2019
Business Acquisition [Line Items] |  |  |  |  |  |
Closing day spot rate (USD per share) | $ 79.20 |  |  |  |  |
Amortization of intangible assets |  | $ 7,309 | $ 2,046 | $ 14,625 | $ 4,115 |
Amortization of intangible assets, remainder of 2020 |  | 14,866 |  | 14,866 |  |
Amortization of intangible assets, 2021 |  | 29,237 |  | 29,237 |  |
Amortization of intangible assets, 2022 |  | 28,993 |  | 28,993 |  |
Amortization of intangible assets, 2023 |  | 27,694 |  | 27,694 |  |
Amortization of intangible assets, 2024 |  | 24,287 |  | 24,287 |  |
Alpha |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Initial purchase consideration | $ 750,000 |  |  |  |  |
Consideration transferred | 742,502 |  |  |  |  |
Estimated tax-deductible goodwill |  | $ 42,262 |  | 42,262 |  |
Payments to acquire businesses | 650,000 |  |  |  |  |
Shares issued in acquisition, value | 93,268 |  |  |  |  |
Working capital adjustment | $ 766 |  |  |  |  |
Shares issued in acquisition (USD per share) | $ 84.92 |  |  |  |  |
Unrecognized Tax Benefits, Increase Resulting from Acquisition |  |  |  |  |  | $ 7,840
Alpha | Customer relationships |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Acquired intangible assets |  |  |  | 221,000 |  |
Trademarks | Alpha |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Acquired indefinite-lived intangible assets |  |  |  | $ 56,000 |  |
Common Stock | Alpha |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Shares issued in acquisition (in shares) | 1,177,630 |  |  |  |  |

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