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Loss and loss adjustment expense reserves - Claims duration (Details) - Operating Segments
Dec. 31, 2022
Reinsurance | Aviation & Space  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 19.10%
Year 2 23.20%
Year 3 15.30%
Year 4 8.30%
Year 5 6.40%
Year 6 2.70%
Year 7 3.40%
Year 8 0.20%
Year 9 2.40%
Year 10 0.00%
Reinsurance | Casualty  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 16.30%
Year 2 20.80%
Year 3 13.00%
Year 4 10.20%
Year 5 5.80%
Year 6 3.50%
Year 7 2.10%
Year 8 1.00%
Year 9 0.70%
Year 10 (0.20%)
Reinsurance | Contingency  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 30.30%
Year 2 26.30%
Year 3 51.80%
Year 4 13.90%
Year 5 3.60%
Year 6 1.60%
Year 7 0.10%
Year 8 (1.40%)
Year 9 0.00%
Year 10 (19.10%)
Reinsurance | Credit & Bond  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 29.90%
Year 2 25.10%
Year 3 15.50%
Year 4 5.60%
Year 5 2.50%
Year 6 2.00%
Year 7 0.40%
Year 8 0.50%
Year 9 1.00%
Year 10 6.20%
Reinsurance | Marine & Energy  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 14.70%
Year 2 26.90%
Year 3 20.90%
Year 4 10.10%
Year 5 4.80%
Year 6 3.20%
Year 7 2.20%
Year 8 0.10%
Year 9 0.20%
Year 10 (0.20%)
Reinsurance | Mortgage  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 12.60%
Year 2 11.00%
Year 3 3.70%
Year 4 1.90%
Year 5 0.80%
Year 6 1.50%
Year 7 0.40%
Year 8 (0.30%)
Year 9 (0.20%)
Year 10 0.00%
Reinsurance | Property  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 16.30%
Year 2 38.90%
Year 3 18.20%
Year 4 7.70%
Year 5 3.20%
Year 6 1.80%
Year 7 0.70%
Year 8 0.40%
Year 9 0.10%
Year 10 0.20%
Insurance & Services | A&H  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 47.30%
Year 2 41.50%
Year 3 8.20%
Year 4 1.00%
Year 5 0.30%
Year 6 0.00%
Year 7 0.00%
Year 8 0.00%
Year 9 0.00%
Year 10 0.00%
Insurance & Services | Environmental  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 0.70%
Year 2 17.90%
Year 3 17.10%
Year 4 3.70%
Year 5 4.40%
Year 6 0.00%
Year 7 0.00%
Year 8 0.00%
Year 9 0.00%
Year 10 0.00%
Insurance & Services | Workers’ Compensation  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 8.70%
Year 2 29.90%
Year 3 19.90%
Year 4 16.40%
Year 5 11.70%
Year 6 0.00%
Year 7 0.00%
Year 8 0.00%
Year 9 0.00%
Year 10 0.00%
Insurance & Services | Other  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 5.80%
Year 2 17.80%
Year 3 7.20%
Year 4 8.30%
Year 5 0.00%
Year 6 0.00%
Year 7 0.00%
Year 8 0.00%
Year 9 0.00%
Year 10 0.00%