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Goodwill and Intangible Assets - Schedule of Changes in Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance $ 6,194.1 $ 5,676.9
Additions 402.2 704.5
Disposals (96.8) (1.3)
Amortization (216.0) (223.1)
Impairments (86.1) (46.8)
Foreign exchange effect and other 31.7 83.9
Intangible assets and goodwill, ending balance 6,229.1 6,194.1
Intangible assets with indefinite useful life 1,751.6 1,790.5
PT Asuransi Multi Artha Guna Tbk (AMAG Insurance)    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Proceeds from termination of agreements 66.3  
Gains on disposals of intangible assets 3.2  
Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 7,190.8  
Intangible assets and goodwill, ending balance 7,497.2 7,190.8
Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (934.5)  
Intangible assets and goodwill, ending balance (1,125.6) (934.5)
Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (62.2)  
Intangible assets and goodwill, ending balance (142.5) (62.2)
Goodwill     
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 2,997.3 2,702.7
Additions 182.1 316.2
Disposals (30.3) 0.0
Amortization 0.0 0.0
Impairments (33.0) (43.9)
Foreign exchange effect and other 10.2 22.3
Intangible assets and goodwill, ending balance 3,126.3 2,997.3
Goodwill  | Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 3,043.9  
Intangible assets and goodwill, ending balance 3,199.6 3,043.9
Goodwill  | Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.0  
Intangible assets and goodwill, ending balance 0.0 0.0
Goodwill  | Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (46.6)  
Intangible assets and goodwill, ending balance (73.3) (46.6)
Lloyd's participation rights    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 503.2 503.2
Additions 0.0 0.0
Disposals 0.0 0.0
Amortization 0.0 0.0
Impairments 0.0 0.0
Foreign exchange effect and other 0.0 0.0
Intangible assets and goodwill, ending balance 503.2 503.2
Lloyd's participation rights | Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 503.2  
Intangible assets and goodwill, ending balance 503.2 503.2
Lloyd's participation rights | Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.0  
Intangible assets and goodwill, ending balance 0.0 0.0
Lloyd's participation rights | Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.0  
Intangible assets and goodwill, ending balance 0.0 0.0
Customer and broker relationships    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 969.8 932.8
Additions (1.0) 134.9
Disposals 0.0 0.0
Amortization (100.4) (105.5)
Impairments (2.1) 0.0
Foreign exchange effect and other 1.2 7.6
Intangible assets and goodwill, ending balance 867.5 969.8
Customer and broker relationships | Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 1,391.4  
Intangible assets and goodwill, ending balance 1,383.6 1,391.4
Customer and broker relationships | Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (421.9)  
Intangible assets and goodwill, ending balance (513.7) (421.9)
Customer and broker relationships | Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.3  
Intangible assets and goodwill, ending balance (2.4) 0.3
Brand names    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 1,181.1 1,096.8
Additions 0.1 34.8
Disposals 0.0 0.0
Amortization 0.0 0.0
Impairments (44.7) 0.0
Foreign exchange effect and other 16.8 49.5
Intangible assets and goodwill, ending balance 1,153.3 1,181.1
Brand names | Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 1,181.1  
Intangible assets and goodwill, ending balance 1,200.4 1,181.1
Brand names | Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.0  
Intangible assets and goodwill, ending balance 0.0 0.0
Brand names | Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 0.0  
Intangible assets and goodwill, ending balance (47.1) 0.0
Computer software and other    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 542.7 441.4
Additions 221.0 218.6
Disposals (66.5) (1.3)
Amortization (115.6) (117.6)
Impairments (6.3) (2.9)
Foreign exchange effect and other 3.5 4.5
Intangible assets and goodwill, ending balance 578.8 542.7
Computer software and other | Gross carrying amount    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance 1,071.2  
Intangible assets and goodwill, ending balance 1,210.4 1,071.2
Computer software and other | Accumulated amortization    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (512.6)  
Intangible assets and goodwill, ending balance (611.9) (512.6)
Computer software and other | Accumulated impairment    
Disclosure of reconciliation of changes in intangible assets and goodwill [abstract]    
Intangible assets and goodwill, beginning balance (15.9)  
Intangible assets and goodwill, ending balance $ (19.7) $ (15.9)