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Intangible Assets, Goodwill and Acquisitions - Schedule of Intangible Assets (Details) - USD ($) $ in Millions | 9 Months Ended |
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Jun. 30, 2021 | Sep. 30, 2020
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 698.4 | $ 672.8
Accumulated Amortization | (490.5) | (451.5)
Customer Relationships |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 691.9 | 666.3
Accumulated Amortization | $ (486.7) | (448.3)
Customer Relationships | Minimum |  |
Finite Lived Intangible Assets [Line Items] |  |
Useful Life | 6 years |
Customer Relationships | Maximum |  |
Finite Lived Intangible Assets [Line Items] |  |
Useful Life | 21 years |
Trademarks |  |
Finite Lived Intangible Assets [Line Items] |  |
Useful Life | 12 years |
Gross Carrying Amount | $ 3.8 | 3.8
Accumulated Amortization | (2.2) | (2.0)
Noncompete Agreements |  |
Finite Lived Intangible Assets [Line Items] |  |
Gross Carrying Amount | 2.7 | 2.7
Accumulated Amortization | $ (1.6) | $ (1.2)
Noncompete Agreements | Minimum |  |
Finite Lived Intangible Assets [Line Items] |  |
Useful Life | 5 years |
Noncompete Agreements | Maximum |  |
Finite Lived Intangible Assets [Line Items] |  |
Useful Life | 7 years |

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