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Business Combinations - Narrative (Details) $ in Thousands, ₩ in Millions, £ in Millions, $ in Millions |  |  |  |  |  |  |  | 12 Months Ended |  |  |
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Jun. 01, 2022 USD ($) | Jun. 01, 2022 AUD ($) | Jan. 31, 2022 USD ($) | Jan. 31, 2022 GBP (£) | Sep. 14, 2021 USD ($) | 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 ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2020 USD ($) | Oct. 06, 2021 USD ($) | Aug. 21, 2020 KRW (₩) | Feb. 28, 2020 AUD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash consideration paid, net of cash acquired |  |  |  |  |  |  |  |  |  |  |  |  | $ 14,295 | $ 1,798,915 | $ 7,066 |  |  |
Number of intangible assets acquired | asset |  |  |  |  |  |  | 3 |  |  |  |  |  |  |  |  |  |  |
Estimated straight-line useful life (in years) |  |  |  |  |  |  |  |  |  |  |  |  | 9 years 9 months 18 days |  |  |  |  |
Payments of contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,369 | 0 | 0 |  |  |
Goodwill |  |  |  |  |  |  |  |  |  |  |  |  | 1,779,415 | 1,774,406 | $ 593,129 |  |  |
VES Group, Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |
Cash consideration paid, net of cash acquired |  |  |  |  |  |  | $ 1,370,000 |  |  |  |  |  |  |  |  |  |  |
Liabilities arising from contingencies |  |  |  |  |  |  | 12,000 |  |  |  |  |  |  |  |  |  |  |
Indemnification assets |  |  |  |  |  |  | 6,000 |  |  |  |  |  | 2,900 |  |  |  |  |
Liability for uncertainty in income taxes |  |  |  |  |  |  | 12,300 |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  |  | 664,000 |  |  |  |  |  | 664,000 |  |  |  |  |
Goodwill |  |  |  |  |  |  | 864,176 |  |  |  |  |  | 872,363 |  |  |  |  |
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% |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  |  |  |  | $ 105,000 |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | $ 304,026 |  |  |  |  |  |  |  |  |  |
Attain | Customer Relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated straight-line useful life (in years) |  |  |  |  |  |  |  | 10 years |  |  |  |  |  |  |  |  |  |
Aidvantage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  | 13,800 |  |  | $ 18,500 |  |
Revenue contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | 184,300 |  |  |  |  |
Gross profit contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | 28,300 |  |  |  |  |
Payments of contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  | 1,400 |  |  |  |  |
Change in contingent consideration liability, interest |  |  |  |  |  |  |  |  |  |  |  |  | 300 |  |  |  |  |
Aidvantage | Selling, General and Administrative Expenses |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Change in contingent consideration liability |  |  |  |  |  |  |  |  |  |  |  |  | $ 3,600 |  |  |  |  |
Aidvantage | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 65,000 |  |
Aidvantage | Customer Relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets, estimated useful life |  |  |  |  |  |  |  |  |  |  |  |  | 27 months |  |  |  |  |
Intangible assets |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 16,700 |  |
Stirling Institute of Australia Pty Ltd |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets | $ 1,800 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,300 |  |  |  |  |
Gross profit contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | 700 |  |  |  |  |
Cash payment to acquire business | 4,100 | $ 5.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill | $ 2,300 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
BZ Bodies Limited |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | $ 1,300 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenue contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | 3,900 |  |  |  |  |
Gross profit contributed from acquired business |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,800 |  |  |  |  |
Cash payment to acquire business |  |  | 2,500 | £ 1.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  |  | $ 1,400 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Connect Assist |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  |  |  | $ 7,700 |  |  |  |  |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  | 20,800 | £ 15.5 |  |  |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 11,100 |  |  |  |  |  |  |  |  |  |  |  |  |
Index Root |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  |  | 100.00% |
Contingent consideration |  |  |  |  |  |  |  |  | $ 900 |  |  |  |  |  |  |  | ₩ 1,100 |
Intangible assets |  |  |  |  |  |  |  |  | 1,400 |  |  |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  |  |  |  | 5,400 | ₩ 6,300 |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  |  | $ 5,100 |  |  |  |  |  |  |  |  |
Reversal of acquisition related costs |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1,000 |  |  |  |
InjuryNet |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  |  |  |  |  |  |  | 100.00% |  |  |  |  |  |  | 100.00%
Contingent consideration |  |  |  |  |  |  |  |  |  |  | $ 2,100 |  |  |  |  |  |  | $ 3.1
Intangible assets |  |  |  |  |  |  |  |  |  |  | 900 |  |  |  |  |  |  |
Cash payment to acquire business |  |  |  |  |  |  |  |  |  |  | 4,400 | $ 6.7 |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  |  |  |  | $ 2,600 |  |  |  |  |  |  |

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- Definition Percentage of voting equity interests acquired at the acquisition date in the business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=79982066&loc=d3e1392-128463 + Details
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