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Commitments and contingencies - Gross reinsurance premiums written (Details) - intermediary
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Gross written premium by intermediary      
Number of reinsurance intermediaries 3 3 3
Gross written premium by intermediary 69.00% 70.00% 65.00%
AON Corporation and subsidiaries      
Gross written premium by intermediary      
Gross written premium by intermediary 24.00% 26.00% 22.00%
Guy Carpenter & Company and subsidiaries      
Gross written premium by intermediary      
Gross written premium by intermediary 24.00% 26.00% 25.00%
WT Butler and Co. Ltd.      
Gross written premium by intermediary      
Gross written premium by intermediary 11.00% 10.00% 10.00%
Willis Towers Watson plc and subsidiaries      
Gross written premium by intermediary      
Gross written premium by intermediary 10.00% 8.00% 8.00%