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Business Segments (Details) - USD ($) $ in Millions | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jun. 30, 2024 | Jun. 30, 2023 | Jun. 30, 2024 | Jun. 30, 2023
Segment Reporting Information [Line Items] |  |  |  |
Net revenues: | $ 1,716.8 | $ 1,531.2 | $ 3,397.5 | $ 3,000.9
Percent change in net revenues | 12.10% |  | 13.20% |
Gross profit: | $ 1,193.3 | 1,067.1 | $ 2,374.3 | 2,085.7
Percent change in gross profit | 11.80% |  | 13.80% |
Operating profit | $ 556.9 | 493.4 | $ 1,099.7 | 949.6
Percent change in operating profit | 12.90% |  | 15.80% |
Long-lived assets: | $ 246.1 | 220.4 | $ 246.1 | 220.4
Percent change in long-lived assets | 11.70% |  |  |
Corporate |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Unallocated corporate general and administrative expenses | $ 62.7 | 58.1 | 124.2 | 113.3
Application Software |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net revenues: | $ 931.8 | 770.3 | $ 1,827.0 | 1,531.7
Percent change in net revenues | 21.00% |  | 19.30% |
Gross profit: | $ 641.1 | 531.0 | $ 1,266.8 | 1,051.5
Percent change in gross profit | 20.70% |  | 20.50% |
Operating profit | $ 251.1 | 201.2 | $ 490.7 | 394.4
Percent change in operating profit | 24.80% |  | 24.40% |
Long-lived assets: | $ 189.0 | 161.9 | $ 189.0 | 161.9
Percent change in long-lived assets | 16.70% |  |  |
Network Software |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net revenues: | $ 364.2 | 358.1 | $ 735.0 | 712.6
Percent change in net revenues | 1.70% |  | 3.10% |
Gross profit: | $ 307.8 | 303.9 | $ 624.1 | 603.3
Percent change in gross profit | 1.30% |  | 3.40% |
Operating profit | $ 159.1 | 153.1 | $ 326.1 | 300.6
Percent change in operating profit | 3.90% |  | 8.50% |
Long-lived assets: | $ 23.8 | 28.7 | $ 23.8 | 28.7
Percent change in long-lived assets | (17.10%) |  |  |
Technology Enabled Products |  |  |  |
Segment Reporting Information [Line Items] |  |  |  |
Net revenues: | $ 420.8 | 402.8 | $ 835.5 | 756.6
Percent change in net revenues | 4.50% |  | 10.40% |
Gross profit: | $ 244.4 | 232.2 | $ 483.4 | 430.9
Percent change in gross profit | 5.30% |  | 12.20% |
Operating profit | $ 146.7 | 139.1 | $ 282.9 | 254.6
Percent change in operating profit | 5.50% |  | 11.10% |
Long-lived assets: | $ 33.3 | $ 29.8 | $ 33.3 | $ 29.8
Percent change in long-lived assets | 11.70% |  |  |

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