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Intangible Assets - Gross and Net Intangible Assets by Major Class (Details) - USD ($) $ in Millions | Mar. 31, 2023 | Sep. 30, 2022
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Acquired Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived intangible assets, gross amount | $ 70.8 | $ 61.5
Finite-lived intangible assets, accumulated amortization | (47.0) | (39.0)
Total intangible assets subject to amortization | 23.8 | 22.5
Indefinite-lived intangible assets | 5.7 | 5.5
Intangible assets, gross amount | 76.5 | 67.0
Total intangible assets, net amount | 29.5 | 28.0
Website domains |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-lived license agreements | 2.0 | 1.8
Business licenses |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |
Indefinite-lived intangible assets | 3.7 | 3.7
Trade/domain names |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived trade/domain names, gross amount | 4.1 | 3.7
Finite-lived intangible assets, accumulated amortization | (2.0) | (1.6)
Total intangible assets subject to amortization | 2.1 | 2.1
Software programs/platforms |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived software programs/platforms, gross amount | 28.6 | 28.3
Finite-lived intangible assets, accumulated amortization | (23.9) | (19.4)
Total intangible assets subject to amortization | 4.7 | 8.9
Client and supplier base |  |
Acquired Finite-Lived Intangible Assets [Line Items] |  |
Finite-lived customer base, gross amount | 38.1 | 29.5
Finite-lived intangible assets, accumulated amortization | (21.1) | (18.0)
Total intangible assets subject to amortization | $ 17.0 | $ 11.5

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