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Debt - Scheduled Maturities of Debt and Capital Lease Payments (Details) - USD ($)
$ in Millions
Mar. 31, 2018
Sep. 30, 2017
Debt Instrument [Line Items]    
Long-term Debt $ 5,404.2 $ 5,801.9
HGI | Seven Point Seven Five Percent Senior Unsecured Notes [Member]    
Debt Instrument [Line Items]    
Long-term Debt   890.0
Secured Debt [Member] | HGI | 7.875% Senior Secured Notes, due July 15, 2019    
Debt Instrument [Line Items]    
Long-term Debt, Maturities, Repayments of Principal in Year Five   $ 864.4