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v3.25.0.1

Summary of significant accounting policies - Narrative (Details) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2024 USD ($) | Dec. 31, 2024 USD ($) financial_institution | Dec. 31, 2023 USD ($) | Dec. 31, 2022 USD ($)
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Gross amount of outsourcing assets |  | $ 553.0 | $ 563.4 |
Outsourcing assets, accumulated amortization |  | 529.0 | 531.8 |
Gross amount of marketable software |  | 2,256.2 | 2,213.9 |
Marketable software, accumulated amortization |  | 2,091.2 | 2,047.7 |
Goodwill impairment |  | $ 39.1 | 0.0 | $ 0.0
Period of recognition in changes in fair value of plan assets |  | 4 years |  |
Advertising costs incurred |  | $ 10.8 | 10.7 | $ 8.0
Digital Workspace Services Segment |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Goodwill impairment | $ 39.1 |  |  |
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 |  |
Cloud Computing Arrangement |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Gross amount of marketable software |  | $ 24.1 | 23.0 |
Cloud Computing Arrangement | Prepaid Expenses and Other Current Assets |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Gross amount of marketable software |  | 7.6 | 5.5 |
Cloud Computing Arrangement | Other Long Term Assets |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |
Gross amount of marketable software |  | $ 16.5 | $ 17.5 |
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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