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Segment and Geographic Area Information - Schedule of Reporting Information (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2024
Sep. 30, 2024
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Sep. 30, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]                      
Net revenues $ 1,877.1 $ 1,764.6 $ 1,716.8 $ 1,680.7 $ 1,613.5 $ 1,563.4 $ 1,531.2 $ 1,469.7 $ 7,039.2 $ 6,177.8 $ 5,371.8
Cost of sales                 2,160.9 1,870.6 1,619.0
Selling, general and administrative expenses                 2,881.5 2,562.0 2,228.3
Operating profit                 1,996.8 1,745.2 1,524.5
Depreciation and other amortization expense                 812.8 755.2 650.1
Total assets 31,334.7       28,167.5       31,334.7 28,167.5 26,980.8
Capital expenditures                 66.0 68.0 40.1
Capitalized software expenditures                 45.0 40.0 30.2
Application Software                      
Segment Reporting Information [Line Items]                      
Net revenues                 3,868.3 3,186.9 2,639.5
Network Software                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,475.6 1,439.4 1,378.5
Technology Enabled Products                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,695.3 1,551.5 1,353.8
Operating Segments | Application Software                      
Segment Reporting Information [Line Items]                      
Net revenues                 3,868.3 3,186.9 2,639.5
Cost of sales                 1,220.7 991.1 823.2
Selling, general and administrative expenses                 1,624.2 1,375.0 1,102.3
Operating profit                 1,023.4 820.8 714.0
Depreciation and other amortization expense                 628.8 563.0 455.8
Total assets 23,600.9       20,350.9       23,600.9 20,350.9 18,723.3
Capital expenditures                 17.8 20.1 20.7
Capitalized software expenditures                 43.7 39.5 28.5
Operating Segments | Network Software                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,475.6 1,439.4 1,378.5
Cost of sales                 220.8 213.8 212.9
Selling, general and administrative expenses                 588.3 593.2 595.0
Operating profit                 666.5 632.4 570.6
Depreciation and other amortization expense                 161.0 162.5 164.2
Total assets 5,348.0       5,363.8       5,348.0 5,363.8 5,467.4
Capital expenditures                 4.8 6.4 8.8
Capitalized software expenditures                 1.3 0.5 1.7
Operating Segments | Technology Enabled Products                      
Segment Reporting Information [Line Items]                      
Net revenues                 1,695.3 1,551.5 1,353.8
Cost of sales                 719.4 665.7 582.9
Selling, general and administrative expenses                 401.6 367.1 321.8
Operating profit                 574.3 518.7 449.1
Depreciation and other amortization expense                 21.7 29.1 29.8
Total assets 1,498.1       1,485.6       1,498.1 1,485.6 1,502.7
Capital expenditures                 11.7 13.8 9.2
Capitalized software expenditures                 0.0 0.0 0.0
Corporate                      
Segment Reporting Information [Line Items]                      
Net revenues                 0.0 0.0 0.0
Cost of sales                 0.0 0.0 0.0
Selling, general and administrative expenses                 267.4 226.7 209.2
Operating profit                 (267.4) (226.7) (209.2)
Depreciation and other amortization expense                 1.3 0.6 0.3
Total assets $ 887.7       $ 967.2       887.7 967.2 1,287.4
Capital expenditures                 31.7 27.7 1.4
Capitalized software expenditures                 $ 0.0 $ 0.0 $ 0.0