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Summary of Significant Accounting Policies (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Oct. 01, 2019
Business Information [Line Items]        
Noncontrolling Interest, Ownership Percentage by Parent 65.00%      
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners 35.00%      
Cash and cash equivalents $ 3,018.5 $ 1,494.3    
Advertising expense 41.7 47.0 $ 44.1  
Lease right of use assets 34.7 0.0   $ 39.0
Lease liabilities 37.0 0.0   $ 40.3
Unrecognized Tax Benefits that Would Impact Effective Tax Rate 8.9      
Single Family [Member] | Assets Leased to Others [Member]        
Business Information [Line Items]        
Prior Period Reclassification Adjustment   37.0    
Variable Interest Entity, Not Primary Beneficiary [Member]        
Business Information [Line Items]        
Earnest Money Deposits 519.6 396.9    
Subsidiaries [Member]        
Business Information [Line Items]        
Cash and cash equivalents 51.3 48.6    
Accounts Receivable [Member]        
Business Information [Line Items]        
Cash and cash equivalents $ 237.6 $ 244.8