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Shareholders' equity - Regulatory Capital Ratios (Details)
Dec. 31, 2019
Dec. 31, 2018
Compliance with Regulatory Capital Requirements under Banking Regulations [Line Items]    
CET1 ratio 11.50% 10.70%
Tier 1 capital ratio 13.70% 12.80%
Total capital ratio 14.40% 13.60%
Tier 1 leverage ratio 6.60% 6.60%
SLR 6.10% 6.00%
The Bank of New York Mellon    
Compliance with Regulatory Capital Requirements under Banking Regulations [Line Items]    
CET1 ratio 15.10% 14.00%
Tier 1 capital ratio 15.10% 14.30%
Total capital ratio 15.20% 14.70%
Tier 1 leverage ratio 6.90% 7.60%
SLR 6.40% 6.80%