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Summary of Accounting Policies - Narrative (Details) shares in Thousands, $ in Millions |  | 1 Months Ended | 12 Months Ended |
--- | --- | --- | --- | ---
Aug. 04, 2023 USD ($) | Nov. 30, 2024 USD ($) | Dec. 31, 2024 USD ($) reporting_unit shares | Dec. 31, 2023 USD ($) shares | Dec. 31, 2022 USD ($) shares | Nov. 22, 2022 USD ($)
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Cash equivalents, at carrying value |  |  | $ 0.9 | $ 0.4 |  |
Antidilutive securities excluded from computation of earnings per share (in shares) | shares |  |  | 419 | 726 | 834 |
Cash paid, net of cash acquired |  |  | $ 3,612.9 | $ 2,052.7 | $ 4,280.1 |
Proceeds from sale of equity investment |  |  | 245.6 | 0.0 | 0.0 |
Income taxes |  |  | 417.9 | 374.7 | 296.4 |
Equity investments gain, net |  |  | $ 234.6 | 165.4 | 0.0 |
Number of reporting units | reporting_unit |  |  | 23 |  |  |
Goodwill |  |  | $ 19,312.9 | 17,118.8 | 15,946.1 |
Research, development and engineering costs |  |  | 748.1 | 646.1 | 529.8 |
Allowance for doubtful accounts receivable and sales returns and allowances net current |  |  | 21.6 | 22.2 |  |
Deferred commission, current |  |  | 40.5 | 35.0 |  |
Deferred commission, non-current |  |  | 50.0 | 36.7 |  |
Deferred commissions expense |  |  | 32.2 | 29.3 | $ 30.7 |
Remaining performance obligations |  |  | 4,754.9 |  |  |
Capitalized computer software, net |  |  | $ 116.9 | 102.6 |  |
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2025-01-01 |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Remaining performance obligations, percentage (as a percent) |  |  | 65.00% |  |  |
Remaining performance obligations, expected timing of revenue recognition |  |  | 12 months |  |  |
Software licenses |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Subscription term (in years) |  |  | 1 year |  |  |
Minimum |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Goodwill |  |  | $ 17.5 |  |  |
Minimum | Software licenses |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 30 days |  |  |
Minimum | PCS |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 30 days |  |  |
Minimum | Engineered products |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 30 days |  |  |
Maximum |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Goodwill |  |  | $ 3,363.7 |  |  |
Maximum | Software licenses |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 60 days |  |  |
Maximum | PCS |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 60 days |  |  |
Maximum | Engineered products |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Number of days for payment (in days) |  |  | 60 days |  |  |
Certinia Inc. |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Proceeds from sale of equity investment |  |  | $ 245.6 |  |  |
Equity investments gain, net |  |  | $ (9.8) | (5.2) |  |
Equity method investment fair value |  |  |  | $ 119.8 |  |
Indicor |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Equity method investment, ownership percentage |  |  | 45.50% | 47.30% |  | 49.00%
Equity investments gain, net |  |  | $ 96.4 | $ 140.9 |  |
Equity method investment fair value |  |  |  |  |  | $ 535.0
Certinia Inc. |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Equity method investment, ownership percentage | 18.20% |  |  |  |  |
Cash paid, net of cash acquired | $ 125.0 |  |  |  |  |
Equity method investment, realized gain (loss) on disposal |  | $ 135.6 |  |  |  |
Certinia Inc. | Disposal group, disposed of by sale, not discontinued operations |  |  |  |  |  |
Summary Of Accounting Policies [Line Items] |  |  |  |  |  |
Income taxes |  | $ 30.2 |  |  |  |

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