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Summary of significant accounting policies - Narrative (Details) $ in Millions | 12 Months Ended |
--- | --- | ---
Dec. 31, 2021 USD ($) financial_institution | Dec. 31, 2020 USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Gross amount of outsourcing assets | $ 568.3 | $ 692.1
Outsourcing assets, accumulated amortization | 443.7 | 518.2
Gross amount of marketable software | 2,266.1 | 2,219.4
Marketable software, accumulated amortization | $ 2,089.9 | $ 2,025.8
Period of recognition in changes in fair value of plan assets | 4 years |
Intelligent Processing Solutions Ltd. |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Ownership interest (as a percent) | 51.00% |
Number of financial institutions that own remaining interests for which iPSL performs services | financial_institution | 3 |
Enterprise Software |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated revenue-producing lives of computer software products from the date of release | 5 years |
Remaining Products |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated revenue-producing lives of computer software products from the date of release | 3 years |
Minimum | Technology |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Period over which payment is generally received for contracts | 30 days |
Maximum | Technology |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Period over which payment is generally received for contracts | 60 days |
Buildings | Minimum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 20 years |
Buildings | Maximum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 50 years |
Machinery and office equipment | Minimum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 4 years |
Machinery and office equipment | Maximum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 7 years |
Rental equipment |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 4 years |
Internal-use software | Minimum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 3 years |
Internal-use software | Maximum |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |
Estimated useful lives | 10 years |

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