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Third party reinsurance - Breakdown of written and earned premiums and loss and loss adjustment expense (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Written premiums:      
Direct $ 1,403.9 $ 718.0 $ 19.0
Assumed 2,005.8 1,518.5 569.5
Gross premiums written 3,409.7 2,236.5 588.5
Ceded (860.5) (502.3) (46.3)
Net premiums written 2,549.2 1,734.2 542.2
Premiums earned:      
Direct 1,153.6 600.8 1.0
Assumed 1,915.2 1,598.5 638.8
Gross premiums earned 3,068.8 2,199.3 639.8
Ceded (750.7) (482.3) (29.0)
Net premiums earned 2,318.1 1,717.0 610.8
Loss and loss adjustment expense:      
Direct 778.0 349.3 0.8
Assumed 1,386.8 1,506.1 483.2
Loss and loss adjustment expense incurred 2,164.8 1,855.4 484.0
Ceded (576.4) (528.9) (18.7)
Loss and loss adjustment expense incurred, net $ 1,588.4 $ 1,326.5 $ 465.3