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Third party reinsurance - The effects of reinsurance (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2019
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Written premiums:        
Direct   $ 511.2 $ 454.5 $ 450.2
Assumed   1,391.5 1,366.5 989.1
Gross written premiums   1,902.7 1,821.0 1,439.3
Ceded   (400.1) (463.9) (349.1)
Net written premiums   1,502.6 1,357.1 1,090.2
Earned premiums:        
Direct   481.0 432.6 405.7
Assumed   1,357.7 1,236.2 942.2
Gross earned premiums   1,838.7 1,668.8 1,347.9
Ceded   (397.1) (406.5) (312.6)
Net earned premiums   1,441.6 1,262.3 1,035.3
Losses and LAE:        
Direct   316.3 260.5 294.9
Assumed   1,111.4 819.1 701.3
Gross losses and LAE   1,427.7 1,079.6 996.2
Ceded   (257.4) (179.6) (185.0)
Net losses and LAE   $ 1,170.3 $ 900.0 $ 811.2
Excess of loss retrocessional coverage | Earthquake related property liability and casualty insurance        
Losses and LAE:        
Renewal term 1 year      
Reinsurance protection in excess of retention $ 40.0      
Retention amount 35.0      
Further reinsurance protection in excess of retention 35.0      
Further retention amount $ 75.0      
Minimum | Excess of loss retrocessional coverage | Earthquake related property liability and casualty insurance        
Losses and LAE:        
Reinsurance protection in excess of retention (as a percent) 50.00%      
Maximum | Excess of loss retrocessional coverage | Earthquake related property liability and casualty insurance        
Losses and LAE:        
Reinsurance protection in excess of retention (as a percent) 100.00%