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Fair Value Measurements - Changes in Fair Value of Contingent Consideration (Details)
$ in Millions
9 Months Ended
Jun. 30, 2018
USD ($)
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]  
Contingent consideration as of September 30, 2017 $ 140.2
Cash paid to TPG related to TRA (4.2)
Change in fair value of contingent consideration (14.7)
Contingent consideration as of June 30, 2018 121.3
TRA  
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]  
Contingent consideration as of September 30, 2017 105.1
Cash paid to TPG related to TRA (4.2)
Change in fair value of contingent consideration (25.9)
Contingent consideration as of June 30, 2018 75.0
Deferred Cash Consideration  
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]  
Contingent consideration as of September 30, 2017 35.1
Cash paid to TPG related to TRA 0.0
Change in fair value of contingent consideration 11.2
Contingent consideration as of June 30, 2018 $ 46.3