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Goodwill and Other Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Goodwill | The carrying value of goodwill by segment was as follows:
| Application Software |  | Network Software |  | Technology Enabled Products |  |  |  | Total
Balances at December 31, 2020 | $ | 8,802.3 |  |  | $ | 3,604.5 |  |  | $ | 931.6 |  |  |  |  | $ | 13,338.4 |
Goodwill acquired | 85.9 |  |  | 52.9 |  |  | — |  |  |  |  | 138.8 |
Currency translation adjustments | (5.8) |  |  | (3.0) |  |  | 0.1 |  |  |  |  | (8.7) |
Reclassifications and other | 6.9 |  |  | 0.9 |  |  | — |  |  |  |  | 7.8 |
Balances at December 31, 2021 | $ | 8,889.3 |  |  | $ | 3,655.3 |  |  | $ | 931.7 |  |  |  |  | $ | 13,476.3 |
Goodwill acquired | 2,559.1 |  |  | — |  |  | — |  |  |  |  | 2,559.1 |
Currency translation adjustments | (32.1) |  |  | (56.3) |  |  | (1.4) |  |  |  |  | (89.8) |
Reclassifications and other | 1.2 |  |  | (0.7) |  |  | — |  |  |  |  | 0.5 |
Balances at December 31, 2022 | $ | 11,417.5 |  |  | $ | 3,598.3 |  |  | $ | 930.3 |  |  |  |  | $ | 15,946.1 |
Schedule of Other Intangible Assets - Subject to Amortization | Other intangible assets were comprised of:
| Cost |  | Accumulated amortization |  | Net book value
Assets subject to amortization: |  |  |  |  |
Customer related intangibles | $ | 7,379.6 |  |  | $ | (1,989.8) |  |  | $ | 5,389.8 |
Unpatented technology | 886.4 |  |  | (414.6) |  |  | 471.8 |
Software | 149.5 |  |  | (122.4) |  |  | 27.1 |
Patents and other protective rights | 8.5 |  |  | (1.0) |  |  | 7.5 |
Trade names | 12.1 |  |  | (5.6) |  |  | 6.5 |
Assets not subject to amortization: |  |  |  |  |
Trade names | 606.4 |  |  | — |  |  | 606.4 |
Balances at December 31, 2021 | $ | 9,042.5 |  |  | $ | (2,533.4) |  |  | $ | 6,509.1 |
Assets subject to amortization: |  |  |  |  |
Customer related intangibles | $ | 9,300.7 |  |  | $ | (2,437.7) |  |  | $ | 6,863.0 |
Unpatented technology | 954.6 |  |  | (506.9) |  |  | 447.7 |
Software | 149.0 |  |  | (134.0) |  |  | 15.0 |
Patents and other protective rights | 10.3 |  |  | (1.2) |  |  | 9.1 |
Trade names | 9.7 |  |  | (3.1) |  |  | 6.6 |
Assets not subject to amortization: |  |  |  |  |
Trade names | 689.3 |  |  | — |  |  | 689.3 |
Balances at December 31, 2022 | $ | 11,113.6 |  |  | $ | (3,082.9) |  |  | $ | 8,030.7 |
Schedule of Other Intangible Assets - Not Subject to Amortization | Other intangible assets were comprised of:
| Cost |  | Accumulated amortization |  | Net book value
Assets subject to amortization: |  |  |  |  |
Customer related intangibles | $ | 7,379.6 |  |  | $ | (1,989.8) |  |  | $ | 5,389.8 |
Unpatented technology | 886.4 |  |  | (414.6) |  |  | 471.8 |
Software | 149.5 |  |  | (122.4) |  |  | 27.1 |
Patents and other protective rights | 8.5 |  |  | (1.0) |  |  | 7.5 |
Trade names | 12.1 |  |  | (5.6) |  |  | 6.5 |
Assets not subject to amortization: |  |  |  |  |
Trade names | 606.4 |  |  | — |  |  | 606.4 |
Balances at December 31, 2021 | $ | 9,042.5 |  |  | $ | (2,533.4) |  |  | $ | 6,509.1 |
Assets subject to amortization: |  |  |  |  |
Customer related intangibles | $ | 9,300.7 |  |  | $ | (2,437.7) |  |  | $ | 6,863.0 |
Unpatented technology | 954.6 |  |  | (506.9) |  |  | 447.7 |
Software | 149.0 |  |  | (134.0) |  |  | 15.0 |
Patents and other protective rights | 10.3 |  |  | (1.2) |  |  | 9.1 |
Trade names | 9.7 |  |  | (3.1) |  |  | 6.6 |
Assets not subject to amortization: |  |  |  |  |
Trade names | 689.3 |  |  | — |  |  | 689.3 |
Balances at December 31, 2022 | $ | 11,113.6 |  |  | $ | (3,082.9) |  |  | $ | 8,030.7 |

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