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Loss and Loss Adjustment Expense Reserves (Details) - USD ($)
$ in Millions
9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Dec. 31, 2018
Liability for Claims and Claims Adjustment Expense [Line Items]        
Loss and loss adjustment expense reserves $ 19,589.2 $ 17,370.0 $ 18,105.4 $ 15,400.8
Reinsurance Recoverable for Unpaid Claims and Claims Adjustments and Liability for Unpaid Claims and Claim Adjustment Expense, Other Reconciling Item 3,804.3 3,145.1 3,212.2 2,572.7
Liability for Unpaid Claims and Claims Adjustment Expense, Net 15,784.9 14,224.9 $ 14,893.2 $ 12,828.1
Current Year Claims and Claims Adjustment Expense 18,073.6 18,108.2    
Prior Year Claims and Claims Adjustment Expense 116.1 215.2    
Liability for Unpaid Claims and Claims Adjustment Expense, Incurred Claims 18,189.7 18,323.4    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Current Year 10,615.2 10,864.9    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid, Prior Years 6,682.8 6,061.7    
Liability for Unpaid Claims and Claims Adjustment Expense, Claims Paid $ 17,298.0 $ 16,926.6    
Short-duration Insurance Contracts, Accident Year 2018        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Percent of Prior Year Claims and Claims Adjustment Expense 80.00% 50.00%    
Short-duration Insurance Contracts, Accident Year 2017 [Member]        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Percent of Prior Year Claims and Claims Adjustment Expense   30.00%    
Personal Lines | Personal auto businesses        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Prior Year Claims and Claims Adjustment Expense $ 47.0 $ 108.0    
Personal Lines | Special Lines        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Prior Year Claims and Claims Adjustment Expense (22.0) 17.0    
Commercial Lines        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Prior Year Claims and Claims Adjustment Expense 104.0 71.0    
Property        
Liability for Claims and Claims Adjustment Expense [Line Items]        
Prior Year Claims and Claims Adjustment Expense $ (13.0) $ 19.0