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Business Combinations - Narrative (Details) $ in Thousands, ₩ in Millions, £ in Millions, $ in Millions |  |  |  |  |  |  | 3 Months Ended | 4 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 30, 2021 USD ($) | Sep. 14, 2021 USD ($) | Sep. 14, 2021 GBP (£) | May 28, 2021 USD ($) asset | Mar. 01, 2021 USD ($) | Aug. 21, 2020 USD ($) | Aug. 21, 2020 KRW (₩) | Feb. 28, 2020 USD ($) | Feb. 28, 2020 AUD ($) | Mar. 31, 2021 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2020 USD ($) | Sep. 30, 2019 USD ($) | Aug. 21, 2020 KRW (₩) | Feb. 28, 2020 AUD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash consideration paid, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  | $ 1,798,915 | $ 7,066 | $ 436,839 |  |
Number of intangible assets acquired | asset |  |  |  | 3 |  |  |  |  |  |  |  |  |  |  |  |
Amortization of intangible assets |  |  |  |  |  |  |  |  |  |  |  | $ 44,357 | 35,634 | 33,054 |  |
Estimated Straight-Line Useful Life |  |  |  |  |  |  |  |  |  |  |  | 10 years 9 months 18 days |  |  |  |
Revenue |  |  |  |  |  |  |  |  |  |  |  | $ 4,254,485 | 3,461,537 | 2,886,815 |  |
Gross profit |  |  |  |  |  |  |  |  |  |  |  | 946,975 | 711,002 | 671,184 |  |
Acquisition related costs |  |  |  |  |  |  |  |  |  |  |  | 9,500 |  |  |  |
Goodwill | $ 1,774,406 |  |  |  |  |  |  |  |  |  | $ 1,774,406 | 1,774,406 | $ 593,129 | $ 584,469 |  |
VES Group, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |
Cash consideration paid, net of cash acquired | 1,360,231 |  |  | $ 1,360,231 |  |  |  |  |  |  |  |  |  |  |  |
Liabilities arising from contingencies |  |  |  | 12,000 |  |  |  |  |  |  |  |  |  |  |  |
Indemnification assets |  |  |  | 6,000 |  |  |  |  |  |  |  |  |  |  |  |
Liability for uncertainty in income taxes |  |  |  | 12,300 |  |  |  |  |  |  |  |  |  |  |  |
Revenue contributed from acquired business |  |  |  |  |  |  |  |  |  |  | 186,600 |  |  |  |  |
Gross profit contributed from acquired business |  |  |  |  |  |  |  |  |  |  | 53,500 |  |  |  |  |
Amortization of intangible assets |  |  |  |  |  |  |  |  |  |  | 18,400 |  |  |  |  |
Estimated cash consideration, net of cash acquired | 1,364,866 |  |  | 1,367,725 |  |  |  |  |  |  |  |  |  |  |  |
Acquisition related costs |  |  |  |  |  |  |  |  |  |  |  | 52,200 |  |  |  |
Goodwill | 864,176 |  |  | 857,274 |  |  |  |  |  |  | 864,176 | 864,176 |  |  |  |
Intangible assets | $ 664,000 |  |  | 664,000 |  |  |  |  |  |  | $ 664,000 | 664,000 |  |  |  |
VES Group, Inc. | Indemnification Asset On Uncertain Tax Positions |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Indemnification assets |  |  |  | $ 7,200 |  |  |  |  |  |  |  |  |  |  |  |
Attain |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |
Estimated cash consideration, net of cash acquired |  |  |  |  | $ 419,097 |  |  |  |  |  |  |  |  |  |  |
Revenue |  |  |  |  |  |  |  |  |  |  |  | 136,100 |  |  |  |
Gross profit |  |  |  |  |  |  |  |  |  |  |  | 33,400 |  |  |  |
Acquisition related costs |  |  |  |  |  |  |  |  |  |  |  | $ 300 |  |  |  |
Goodwill |  |  |  |  | 304,026 |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  | $ 105,000 |  |  |  |  |  |  |  |  |  |  |
Attain | Customer Relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated Straight-Line Useful Life |  |  |  |  | 10 years |  |  |  |  |  |  |  |  |  |  |
Connect Assist |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  | $ 21,100 | £ 15.5 |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  | 11,100 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  | $ 7,700 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Index Root |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  | 100.00% |
Cash payment to acquire business |  |  |  |  |  | $ 5,400 | ₩ 6,300 |  |  |  |  |  |  |  |  |
Contingent consideration |  |  |  |  |  | 900 |  |  |  |  |  |  |  |  | ₩ 1,100 |
Goodwill |  |  |  |  |  | 5,100 |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  | $ 1,400 |  |  |  |  |  |  |  |  |  |
Reversal of acquisition related costs |  |  |  |  |  |  |  |  |  | $ 1,000 |  |  |  |  |  |
InjuryNet |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  | 100.00%
Cash payment to acquire business |  |  |  |  |  |  |  | $ 4,400 | $ 6.7 |  |  |  |  |  |  |
Contingent consideration |  |  |  |  |  |  |  | 2,100 |  |  |  |  |  |  |  | $ 3.1
Goodwill |  |  |  |  |  |  |  | 2,600 |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  |  |  | $ 900 |  |  |  |  |  |  |  |

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