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Earnings Per Share - Summary of Basic and Diluted EPS (Detail) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
 3 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Income (Loss) from Continuing Operations, Net of Tax, Attributable to Parent $ 28.8 $ (47.2)
Weighted Average Number of Shares Outstanding, Diluted 202,328 199,185
Income (Loss) from Continuing Operations, Per Basic Share $ 0.14 $ (0.24)
Income (Loss) from Continuing Operations, Per Diluted Share 0.14 (0.24)
Discontinued Operation, Income (Loss) from Discontinued Operation, Net of Tax, Per Diluted Share 2.37 1.30
Discontinued Operation, Income (Loss) from Discontinued Operation, Net of Tax, Per Basic Share $ 2.39 $ 1.30
Net Income (Loss) Attributable to Parent $ 507.4 $ 212.2
Net income attributable to controlling interest $ 507.4 $ 212.2
Dilutive adjustments to income (loss) attributable to common shares from assumed conversion of preferred shares, net of tax:    
Weighted-average common shares outstanding - basic and diluted 200,576 199,185
Net income per common share attributable to controlling interest:    
Earnings Per Share, Basic $ 2.53 $ 1.06
Earnings Per Share, Diluted $ 2.51 $ 1.06
Discontinued Operations, Held-for-sale [Member]    
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Net Income (Loss) Attributable to Parent $ 454.5 $ 229.3
HGI | Discontinued Operations, Held-for-sale [Member]    
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Net Income (Loss) Attributable to Parent $ 478.6 $ 259.4
Restricted stock awards    
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount   1,326
Incremental Common Shares Attributable To Conversion Of Restricted Stock Units 89  
Stock option awards    
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount   1,567
Incremental Common Shares Attributable to Dilutive Effect of Share-based Payment Arrangements 1,562  
Incremental Common Shares Attributable to Dilutive Effect of Call Options and Warrants 101  
Warrant [Member]    
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]    
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount   104