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Financial Information for Guarantor Subsidiaries and Non-Guarantor Subsidiaries - Supplemental Condensed Consolidating Statement of Cash Flows (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities $ 346.1 $ 507.1 $ 419.0
Cash flows from investing activities:      
Capital expenditures (390.8) (293.7) (272.9)
Acquisitions of businesses and assets, net of cash acquired (296.6) (57.7) 0.0
Proceeds from asset sales 40.0 7.5 16.7
Acquisitions and additions to equity method investments (180.4) (107.3) (1.2)
Distributions of capital from equity investments 29.7 34.1 25.3
Changes in other assets and liabilities and other   10.0 19.6
Other, principally change in intercompany investing activities 0.0 0.0 0.0
Net cash (used in) provided by investing activities (798.1) (414.6) (228.0)
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds 238.2 701.0 (139.7)
Payments of assumed NYX debt and other acquisitions debt (290.1) 0.0 0.0
Payments of debt issuance and deferred financing costs (38.5) (58.7) 0.0
Payments on license obligations (44.9) (52.6) (50.2)
Net redemptions of common stock under stock-based compensation plans and other (20.9) (9.5) (6.1)
Other, principally change in intercompany financing activities 0.0 0.0 0.0
Net cash (used in) provided by financing activities (156.2) 580.2 (196.0)
Effect of exchange rate changes on cash, cash equivalents and restricted cash (5.9) 4.5 (4.9)
(Decrease) increase in cash, cash equivalents and restricted cash (614.1) 677.2 (9.9)
Cash, cash equivalents and restricted cash, beginning of period 834.1 156.9 166.8
Cash, cash equivalents and restricted cash, end of period 220.0 834.1 156.9
Reportable Legal Entities | Parent Company      
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities (221.1) (40.7) (90.4)
Cash flows from investing activities:      
Capital expenditures (35.0) (53.3) (39.1)
Acquisitions of businesses and assets, net of cash acquired 0.0 0.0  
Proceeds from asset sales 0.0    
Acquisitions and additions to equity method investments 0.0 0.0  
Distributions of capital from equity investments 0.0 0.0 0.0
Changes in other assets and liabilities and other   0.0 0.0
Other, principally change in intercompany investing activities 0.0 0.0 0.0
Net cash (used in) provided by investing activities (35.0) (53.3) (39.1)
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds 0.0 (250.0) 0.0
Payments of assumed NYX debt and other acquisitions debt 0.0    
Payments of debt issuance and deferred financing costs 0.0 0.0  
Payments on license obligations (42.9) (47.5) (38.0)
Net redemptions of common stock under stock-based compensation plans and other (18.4) (8.5) (6.1)
Other, principally change in intercompany financing activities (341.7) 1,099.9 163.1
Net cash (used in) provided by financing activities (403.0) 793.9 119.0
Effect of exchange rate changes on cash, cash equivalents and restricted cash 0.0 0.0 0.0
(Decrease) increase in cash, cash equivalents and restricted cash (659.1) 699.9 (10.5)
Cash, cash equivalents and restricted cash, beginning of period 732.6 32.7 43.2
Cash, cash equivalents and restricted cash, end of period 73.5 732.6 32.7
Reportable Legal Entities | Guarantor Subsidiaries      
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities 205.8 567.3 535.0
Cash flows from investing activities:      
Capital expenditures (145.9) (128.8) (149.5)
Acquisitions of businesses and assets, net of cash acquired (32.1) (26.3)  
Proceeds from asset sales 40.0    
Acquisitions and additions to equity method investments 0.0 0.0  
Distributions of capital from equity investments 0.0 0.0 0.0
Changes in other assets and liabilities and other   7.5 16.8
Other, principally change in intercompany investing activities 0.0 0.0 0.0
Net cash (used in) provided by investing activities (138.0) (147.6) (132.7)
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds 0.0 0.0 0.0
Payments of assumed NYX debt and other acquisitions debt (1.9)    
Payments of debt issuance and deferred financing costs 0.0 0.0  
Payments on license obligations (2.0) (5.1) (12.2)
Net redemptions of common stock under stock-based compensation plans and other (2.5) (1.0) 0.0
Other, principally change in intercompany financing activities (61.5) (410.7) (387.0)
Net cash (used in) provided by financing activities (67.9) (416.8) (399.2)
Effect of exchange rate changes on cash, cash equivalents and restricted cash 0.0 0.0 0.0
(Decrease) increase in cash, cash equivalents and restricted cash (0.1) 2.9 3.1
Cash, cash equivalents and restricted cash, beginning of period 43.9 41.0 37.9
Cash, cash equivalents and restricted cash, end of period 43.8 43.9 41.0
Reportable Legal Entities | Non-Guarantor Subsidiaries      
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities 341.2 282.6 235.3
Cash flows from investing activities:      
Capital expenditures (146.7) (80.6) (61.5)
Acquisitions of businesses and assets, net of cash acquired (264.5) (31.4)  
Proceeds from asset sales 0.0    
Acquisitions and additions to equity method investments (178.5) (107.3)  
Distributions of capital from equity investments 29.7 34.1 25.3
Changes in other assets and liabilities and other   2.5 4.0
Other, principally change in intercompany investing activities 0.0 (120.1) (194.5)
Net cash (used in) provided by investing activities (560.0) (302.8) (226.7)
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds (7.5) (6.7) (6.8)
Payments of assumed NYX debt and other acquisitions debt (288.2)    
Payments of debt issuance and deferred financing costs 0.0 0.0  
Payments on license obligations 0.0 0.0 0.0
Net redemptions of common stock under stock-based compensation plans and other 0.0 0.0 0.0
Other, principally change in intercompany financing activities 562.5 0.0 0.0
Net cash (used in) provided by financing activities 266.8 (6.7) (6.8)
Effect of exchange rate changes on cash, cash equivalents and restricted cash (5.9) 4.5 (4.9)
(Decrease) increase in cash, cash equivalents and restricted cash 42.1 (22.4) (3.1)
Cash, cash equivalents and restricted cash, beginning of period 60.2 82.6 85.7
Cash, cash equivalents and restricted cash, end of period 102.3 60.2 82.6
Reportable Legal Entities | SGI      
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities 18.3 (300.0) (259.8)
Cash flows from investing activities:      
Capital expenditures (63.2) (31.0) (22.8)
Acquisitions of businesses and assets, net of cash acquired 0.0 0.0  
Proceeds from asset sales 0.0    
Acquisitions and additions to equity method investments (1.9) 0.0  
Distributions of capital from equity investments 0.0 0.0 0.0
Changes in other assets and liabilities and other   0.0 (1.2)
Other, principally change in intercompany investing activities (159.3) (569.1) 418.4
Net cash (used in) provided by investing activities (224.4) (600.1) 394.4
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds 245.7 957.7 (132.9)
Payments of assumed NYX debt and other acquisitions debt 0.0    
Payments of debt issuance and deferred financing costs (38.5) (58.7)  
Payments on license obligations 0.0 0.0 0.0
Net redemptions of common stock under stock-based compensation plans and other 0.0 0.0 0.0
Other, principally change in intercompany financing activities 0.0 0.0 0.0
Net cash (used in) provided by financing activities 207.2 899.0 (132.9)
Effect of exchange rate changes on cash, cash equivalents and restricted cash 0.0 0.0 0.0
(Decrease) increase in cash, cash equivalents and restricted cash 1.1 (1.1) 1.7
Cash, cash equivalents and restricted cash, beginning of period 0.6 1.7 0.0
Cash, cash equivalents and restricted cash, end of period 1.7 0.6 1.7
Eliminating Entries      
Condensed Financial Statements, Captions [Line Items]      
Net cash (used in) provided by operating activities 1.9 (2.1) (1.1)
Cash flows from investing activities:      
Capital expenditures 0.0 0.0 0.0
Acquisitions of businesses and assets, net of cash acquired 0.0 0.0  
Proceeds from asset sales 0.0    
Acquisitions and additions to equity method investments 0.0 0.0  
Distributions of capital from equity investments 0.0 0.0 0.0
Changes in other assets and liabilities and other   0.0 0.0
Other, principally change in intercompany investing activities 159.3 689.2 (223.9)
Net cash (used in) provided by investing activities 159.3 689.2 (223.9)
Cash flows from financing activities:      
Payments on long-term debt, net of proceeds 0.0 0.0 0.0
Payments of assumed NYX debt and other acquisitions debt 0.0    
Payments of debt issuance and deferred financing costs 0.0 0.0  
Payments on license obligations 0.0 0.0 0.0
Net redemptions of common stock under stock-based compensation plans and other 0.0 0.0 0.0
Other, principally change in intercompany financing activities (159.3) (689.2) 223.9
Net cash (used in) provided by financing activities (159.3) (689.2) 223.9
Effect of exchange rate changes on cash, cash equivalents and restricted cash 0.0 0.0 0.0
(Decrease) increase in cash, cash equivalents and restricted cash 1.9 (2.1) (1.1)
Cash, cash equivalents and restricted cash, beginning of period (3.2) (1.1) 0.0
Cash, cash equivalents and restricted cash, end of period $ (1.3) $ (3.2) $ (1.1)