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Identifiable Intangible Assets Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2021 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Amortization |  | $ 28.1 | $ 28.5 | $ 28.2
Goodwill, Impairment Loss |  | 0.0 | 6.8 | 0.0
Goodwill | $ 115.1 | 93.7 | 98.6 | 115.1
Impairment of indefinite-lived intangible assets |  | $ 0.0 |  |
Software and Software Development Costs [Member] |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  | 6 years |  |
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life |  | 4 years 2 months 12 days |  |
Amortization | $ 3.3 | $ 2.9 | 2.9 |
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months |  | 2.6 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Two |  | 2.0 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Three |  | 1.5 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Four |  | 1.1 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Five |  | $ 0.8 |  |
Customer Relationships [Member] |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  | 3 years 3 months 18 days |  |
Technology-Based Intangible Assets [Member] |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  | 7 years 8 months 12 days |  |
Business Combination-Related Identifiable Intangible [Member] |  |  |  |
Amortization |  | $ 25.2 | $ 25.5 | $ 25.2
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months |  | 24.8 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Two |  | 5.5 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Three |  | 5.1 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Four |  | 4.9 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Five |  | $ 4.8 |  |

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