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Intangible Assets, Goodwill, Acquisitions, and Divestitures - Additional Information (Details) $ in Millions |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | ---
Jan. 12, 2024 USD ($) Subsidiary | Mar. 31, 2024 USD ($) | Mar. 31, 2023 USD ($) Company | Mar. 31, 2024 USD ($) | Mar. 31, 2023 USD ($) Company
Finite Lived Intangible Assets [Line Items] |  |  |  |  |
Amortization of intangible assets |  | $ 8.7 | $ 11.0 | $ 18.8 | $ 22.9
Weighted average amortization periods of intangible assets acquired |  |  |  |  | 7 years
Number of unrelated maintenance services companies acquired | Company |  |  | 3 |  | 3
Consideration paid, net of cash acquired |  |  |  | 0.0 | $ 13.8
Number of sale of fully owned subsidiaries | Subsidiary | 1 |  |  |  |
Cash consideration | $ 51.6 |  |  | 51.6 | 0.0
Net Service Revenues |  | 672.9 | $ 650.4 | 1,299.6 | $ 1,306.3
Selling, General and Administrative Expenses [Member] |  |  |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |  |  |
Gain on sale of fully owned subsidiaries |  | $ 43.9 |  | $ 43.9 |
Unrelated Maintenance Services Companies |  |  |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |  |  |
Acquisition of operations, Percentage |  |  | 100.00% |  | 100.00%
Consideration paid, net of cash acquired |  |  |  |  | $ 13.8
Customer Relationships |  |  |  |  |
Finite Lived Intangible Assets [Line Items] |  |  |  |  |
Identifiable assets acquired related to intangible assets |  |  | $ 4.0 |  | $ 4.0

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