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Intangible Assets (Tables) | 12 Months Ended
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Dec. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of indefinite-lived intangible assets |
At December 31, 2023 |  | Cost |  | Accumulated amortization |  | Net book value
Trade names and trademarks |  | $ | 221.9 |  |  | $ | (29.7) |  |  | $ | 192.2 |
Customer relationships |  | 2,553.1 |  |  | (225.0) |  |  | 2,328.1 |
Software and technology assets |  | 670.4 |  |  | (285.5) |  |  | 384.9 |
Software under development |  | 8.9 |  |  | — |  |  | 8.9 |
Backlog |  | 1.1 |  |  | (1.1) |  |  | — |
|  | $ | 3,455.4 |  |  | $ | (541.3) |  |  | $ | 2,914.1 |
At December 31, 2022 |  | Cost |  | Accumulated amortization |  | Net book value
Trade names and trademarks |  | $ | 54.0 |  |  | $ | (2.9) |  |  | $ | 51.1 |
Customer relationships |  | 245.4 |  |  | (85.6) |  |  | 159.8 |
Software and technology assets |  | 289.1 |  |  | (182.3) |  |  | 106.8 |
Software under development |  | 4.5 |  |  | — |  |  | 4.5 |
Backlog |  | 1.1 |  |  | (0.6) |  |  | 0.5 |
|  | $ | 594.1 |  |  | $ | (271.4) |  |  | $ | 322.7 |
Schedule of finite-lived intangible assets | Amortization is recognized in earnings on a straight-line basis over the estimated useful lives of intangible assets from the date that they are available for use. The amortization periods of finite-lived intangible assets are re-evaluated periodically when facts and circumstances indicate that the remaining useful lives may have changed. Indefinite-lived trade names and trademarks are not amortized. The estimated useful lives of the Company's intangible assets are as follows:
Asset |  | Rate / term
Trade names and trademarks |  | 2 - 15 years or indefinite-lived
Customer relationships |  | 6 - 20 years
Software and technology assets |  | 3 - 7 years
At December 31, 2023 |  | Cost |  | Accumulated amortization |  | Net book value
Trade names and trademarks |  | $ | 221.9 |  |  | $ | (29.7) |  |  | $ | 192.2 |
Customer relationships |  | 2,553.1 |  |  | (225.0) |  |  | 2,328.1 |
Software and technology assets |  | 670.4 |  |  | (285.5) |  |  | 384.9 |
Software under development |  | 8.9 |  |  | — |  |  | 8.9 |
Backlog |  | 1.1 |  |  | (1.1) |  |  | — |
|  | $ | 3,455.4 |  |  | $ | (541.3) |  |  | $ | 2,914.1 |
At December 31, 2022 |  | Cost |  | Accumulated amortization |  | Net book value
Trade names and trademarks |  | $ | 54.0 |  |  | $ | (2.9) |  |  | $ | 51.1 |
Customer relationships |  | 245.4 |  |  | (85.6) |  |  | 159.8 |
Software and technology assets |  | 289.1 |  |  | (182.3) |  |  | 106.8 |
Software under development |  | 4.5 |  |  | — |  |  | 4.5 |
Backlog |  | 1.1 |  |  | (0.6) |  |  | 0.5 |
|  | $ | 594.1 |  |  | $ | (271.4) |  |  | $ | 322.7 |
Schedule of annual amortization expense | At December 31, 2023, estimated annual amortization expense for the next five years ended December 31 are as follows:
2024 | $ | 321.5 |
2025 | 304.2 |
2026 | 290.8 |
2027 | 228.1 |
2028 | 185.0 |
| $ | 1,329.6 |

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