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Summary of Significant Accounting Policies (Details) - USD ($) $ in Thousands |  | 12 Months Ended |
--- | --- | --- | ---
Oct. 07, 2022 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Accounting Policies [Abstract] |  |  |  |  |
Deferred financing cost amortization |  | $ 287 | $ 268 | $ 199 |
Debt Issuance Costs, Noncurrent, Net |  | 598 | 836 |  |
Accounts Receivable, Allowance for Credit Loss |  | (1,818) | (1,649) |  |
Deferred tax assets |  | 22,458 | 20,383 |  |
Letters of Credit Outstanding, Amount |  | 4,756 |  |  |
Redeemable Noncontrolling Interest, Equity, Redemption Value |  | 40,996 |  |  |
Noncontrolling Interest, Change in Redemption Value |  | 17,140 | 15,701 | 4,699 |
Operating right of use assets |  | 61,956 | 61,761 |  |
Operating Lease, Liability |  | 62,426 |  |  |
Stockholders' Equity Attributable to Parent |  | 611,113 | 449,985 | 361,288 | $ 345,953
Redeemable Noncontrolling Interest [Line Items] |  |  |  |  |
Sale of Stock, Percentage of Ownership before Transaction | 100.00% |  |  |  |
Noncontrolling Interest [Line Items] |  |  |  |  |
Income (Loss) from Continuing Operations, Net of Tax, Attributable to Noncontrolling Interest |  |  | 108,288 |  |
Noncontrolling Interest, Change in Redemption Value |  | (17,140) | $ (15,701) | (4,699) |
Consolidation, Less than Wholly Owned Subsidiary, Parent Ownership Interest, Changes, Purchase of Interest by Parent |  | 2,356 |  |  |
Accounting Standards Update and Change in Accounting Principle |  |  | In October 2021, the Financial Accounting Standards Board (“FASB”) issued Accounting Standard Update No. 2021-08, Business Combinations (Topic 805): Accounting for Contract Assets and Contract Liabilities from Contracts with Customers (“ASU 2021-08”). This standard amends the existing guidance under ASC 805 to add contract assets and contract liabilities to the list of exceptions to the recognition and measurement principles that apply to business combinations. Under this standard, the acquirer of a business is expected to recognize and measure acquired contract assets and contract liabilities as if the acquirer entered into the original contract on the same date with the same terms in accordance with ASC 606 rather than at fair value on the date of acquisition. This update is effective for fiscal years beginning after December 15, 2022 and for interim periods within that year. We adopted this standard on October 1, 2023 using the prospective method. ASU 2021-08 impacts how we account for business combinations completed after its adoption. In December 2019, the FASB issued Accounting Standard Update No. 2019-12, “Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes.” This standard simplifies the accounting for income taxes by eliminating certain exceptions to the guidance in Topic 740 related to the approach for intraperiod tax allocation, the methodology for calculating income taxes in an interim period and the recognition of deferred tax liabilities for outside basis differences. The standard also simplifies aspects of the accounting for franchise taxes and enacted changes in tax laws or rates and clarifies the accounting for transactions that result in a step-up in the tax basis of goodwill. This update is effective for fiscal years beginning after December 15, 2020 and for interim periods within that year. Early adoption is permitted. We adopted this standard on October 1, 2021 with immaterial impact on our Consolidated Financial Statements. |  |
Noncontrolling Interest |  |  |  |  |
Accounting Policies [Abstract] |  |  |  |  |
Noncontrolling Interest, Change in Redemption Value |  | (22,695) | $ (20,750) | (6,175) |
Noncontrolling Interest [Line Items] |  |  |  |  |
Redeemable Noncontrolling Interest, Equity, Carrying Amount |  | 40,996 | 49,951 | 29,193 | $ 24,594
Income (Loss) from Continuing Operations, Net of Tax, Attributable to Noncontrolling Interest |  | 13,385 | 11,499 | 5,424 |
Noncontrolling Interest, Decrease from Redemptions or Purchase of Interests |  |  | 0 | 0 |
Noncontrolling Interest, Decrease from Distributions to Noncontrolling Interest Holders |  | (16,155) | (11,491) | (7,000) |
Noncontrolling Interest, Change in Redemption Value |  | 22,695 | $ 20,750 | $ 6,175 |
Consolidation, Less than Wholly Owned Subsidiary, Parent Ownership Interest, Changes, Purchase of Interest by Parent |  | 3,120 |  |  |
Noncontrolling Interest, Decrease from Deconsolidation |  | $ (32,000) |  |  |
Noncontrolling Owner |  |  |  |  |
Redeemable Noncontrolling Interest [Line Items] |  |  |  |  |
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners |  | 20.00% |  |  |
Owner |  |  |  |  |
Noncontrolling Interest [Line Items] |  |  |  |  |
Noncontrolling Interest, Ownership Percentage by Parent |  | 80.00% |  |  |

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