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Acquisitions and Divestitures - Narrative (Details) $ in Thousands, £ in Millions, $ in Millions |  |  |  |  | 1 Months Ended | 3 Months Ended | 12 Months Ended | 36 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Feb. 14, 2024 USD ($) segment | Sep. 30, 2023 USD ($) | Jun. 01, 2022 USD ($) | Jun. 01, 2022 AUD ($) | Jan. 31, 2022 USD ($) | Jan. 31, 2022 GBP (£) | Nov. 30, 2023 USD ($) | Mar. 31, 2023 USD ($) | Sep. 30, 2023 USD ($) | Sep. 30, 2024 USD ($) segment | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2024 USD ($) | Sep. 30, 2023 GBP (£) | Oct. 06, 2021 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of operating segments | segment | 3 |  |  |  |  |  |  |  |  | 3 |  |  |  |  |
Acquisitions of businesses, net of cash acquired |  |  |  |  |  |  |  |  |  | $ 0 | $ 0 | $ 14,295 |  |  |
Goodwill |  | $ 1,779,215 |  |  |  |  |  |  | $ 1,779,215 | 1,782,871 | 1,779,215 | 1,779,415 | $ 1,782,871 |  |
Impairment charges |  | 2,900 |  |  |  |  |  |  |  |  |  |  |  |  |
Disposal Group Not Discontinued Operation Gain Loss On Disposal Statement Of Income Extensible List Not Disclosed Flag |  |  |  |  |  |  |  | pre-tax loss |  |  |  |  |  |  |
Proceeds from divestitures |  |  |  |  |  |  |  |  |  | 3,085 | 9,732 | $ 0 |  |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Pre-tax loss on sale of practice |  |  |  |  |  |  | $ 1,000 |  |  |  |  |  |  |  |
Impairment charges |  |  |  |  |  |  |  |  | 2,900 |  |  |  |  |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations | UNITED KINGDOM |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Pre-tax loss on sale of practice |  |  |  |  |  |  |  | $ 600 |  |  |  |  |  |  |
Total fair value of consideration |  |  |  |  |  |  |  | 16,000 |  | 5,800 |  |  | 5,800 |  |
Disposal Group, Disposed of by Sale, Not Discontinued Operations | SWEDEN |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total fair value of consideration |  |  |  |  |  |  |  | $ 400 |  |  |  |  |  |  |
Opteamix LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash consideration | $ 18,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets, estimated useful life | 8 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
Aidvantage |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cash consideration |  |  |  |  |  |  |  |  |  |  |  |  | 19,300 |  |
Contingent consideration liability |  | 7,500 |  |  |  |  |  |  | 7,500 | $ 7,500 | 7,500 |  | $ 7,500 |  | $ 18,500
Aidvantage | Customer Relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets, estimated useful life |  |  |  |  |  |  |  |  |  | 27 months |  |  |  |  |
Intangible asset related to the customer contract |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 16,700
Aidvantage | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration liability |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 65,000
Stirling Institute of Australia Pty Ltd |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible asset related to the customer contract |  |  | $ 1,800 |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  | 100.00% |  |  |  |  |  |  |  |  |  |  |  |
Acquisitions of businesses, net of cash acquired |  |  | $ 4,100 | $ 5.7 |  |  |  |  |  |  |  |  |  |  |
Goodwill |  |  | $ 2,300 |  |  |  |  |  |  |  |  |  |  |  |
BZ Bodies Limited |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration liability |  | $ 2,500 |  |  |  |  |  |  | $ 2,500 |  | $ 2,500 |  |  | £ 2.0 |
Intangible asset related to the customer contract |  |  |  |  | $ 1,300 |  |  |  |  |  |  |  |  |  |
Percentage of voting equity interests acquired |  |  |  |  | 100.00% |  |  |  |  |  |  |  |  |  |
Acquisitions of businesses, net of cash acquired |  |  |  |  | $ 2,500 | £ 1.9 |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 1,400 |  |  |  |  |  |  |  |  |  |

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