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Summary of Significant Accounting Policies (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Oct. 05, 2017
Sep. 30, 2015
Business Information [Line Items]          
Business Acquisition, Percentage of Voting Interests Acquired       75.00%  
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners       25.00%  
Accounts payable $ 624.7 $ 580.4      
Accrued expenses and other liabilities 1,127.5 985.0      
Payments Related to Tax Withholding for Share-based Compensation (10.3) (5.1) $ (5.9)    
Deferred profit on sales 3.6 3.6      
Cash and cash equivalents 1,473.1 1,007.8 1,303.2   $ 1,383.8
Advertising expense 44.1 45.4 41.2    
Variable Interest Entity, Not Primary Beneficiary [Member]          
Business Information [Line Items]          
Earnest Money Deposits 326.0 222.9      
Financial Services and Other [Member]          
Business Information [Line Items]          
Accounts payable and other liabilities   56.7      
Accounts payable   4.8      
Accrued expenses and other liabilities   51.9      
Subsidiaries [Member]          
Business Information [Line Items]          
Cash and cash equivalents $ 44.2 36.7      
Accounting Standards Update 2016-09 [Member]          
Business Information [Line Items]          
Payments Related to Tax Withholding for Share-based Compensation   $ (5.1) $ (5.9)