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Loss and loss adjustment expense reserves - Claims duration (Details) - Operating Segments
Dec. 31, 2021
Reinsurance | Aviation & Space  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 21.50%
Year 2 25.80%
Year 3 16.10%
Year 4 9.20%
Year 5 7.10%
Year 6 2.70%
Year 7 3.20%
Year 8 (0.80%)
Year 9 2.20%
Year 10 1.00%
Reinsurance | Casualty  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 18.30%
Year 2 22.00%
Year 3 11.90%
Year 4 9.50%
Year 5 5.20%
Year 6 2.80%
Year 7 1.70%
Year 8 0.70%
Year 9 1.40%
Year 10 (0.30%)
Reinsurance | Contingency  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 32.30%
Year 2 22.60%
Year 3 20.60%
Year 4 8.70%
Year 5 4.00%
Year 6 0.60%
Year 7 2.00%
Year 8 0.00%
Year 9 1.00%
Year 10 0.00%
Reinsurance | Credit & Bond  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 32.30%
Year 2 27.20%
Year 3 16.30%
Year 4 5.00%
Year 5 1.80%
Year 6 0.50%
Year 7 0.10%
Year 8 0.10%
Year 9 0.30%
Year 10 (0.50%)
Reinsurance | Marine & Energy  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 15.50%
Year 2 28.90%
Year 3 21.90%
Year 4 10.40%
Year 5 5.00%
Year 6 3.00%
Year 7 2.50%
Year 8 1.60%
Year 9 0.20%
Year 10 (0.10%)
Reinsurance | Mortgage  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 10.20%
Year 2 11.40%
Year 3 5.70%
Year 4 3.50%
Year 5 0.00%
Year 6 (0.60%)
Year 7 (0.10%)
Year 8 (0.10%)
Year 9 0.00%
Year 10 0.00%
Reinsurance | Property  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 16.00%
Year 2 43.10%
Year 3 16.90%
Year 4 7.50%
Year 5 2.80%
Year 6 1.30%
Year 7 0.70%
Year 8 0.80%
Year 9 0.10%
Year 10 0.60%
Insurance & Services | A&H  
Short-duration Insurance Contracts, Historical Claims Duration [Line Items]  
Year 1 46.20%
Year 2 43.30%
Year 3 7.70%
Year 4 0.80%
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 1.00%
Year 2 19.90%
Year 3 35.10%
Year 4 3.60%
Year 5 0.00%
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 10.00%
Year 2 33.20%
Year 3 19.80%
Year 4 6.90%
Year 5 0.00%
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 2.90%
Year 2 16.30%
Year 3 2.00%
Year 4 0.00%
Year 5 0.00%
Year 6 0.00%
Year 7 0.00%
Year 8 0.00%
Year 9 0.00%
Year 10 0.00%