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Summary of Significant Accounting Policies - Equity-Based Compensation (Details) - USD ($) $ in Millions | Sep. 30, 2018 | Sep. 30, 2017 | Oct. 01, 2016 | Sep. 30, 2016 | Sep. 30, 2015
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New Accounting Pronouncement, Early Adoption [Line Items] |  |  |  |  |
Decrease to deferred income tax liabilities | $ (991.9) | $ (1,357.0) |  |  |
Retained Earnings |  |  |  |  |
New Accounting Pronouncement, Early Adoption [Line Items] |  |  |  |  |
Increase to retained earnings |  | $ 0.0 |  | $ 4.9 | $ 0.0
Accounting Standards Update 2016-09 |  |  |  |  |
New Accounting Pronouncement, Early Adoption [Line Items] |  |  |  |  |
Decrease to deferred income tax liabilities |  |  | $ 4.9 |  |
Accounting Standards Update 2016-09 | Retained Earnings |  |  |  |  |
New Accounting Pronouncement, Early Adoption [Line Items] |  |  |  |  |
Increase to retained earnings |  |  | $ 4.9 |  |

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