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Financial Information for Guarantor Subsidiaries and Non-Guarantor Subsidiaries - Supplemental Condensed Consolidating Statement of Operations and Comprehensive (Loss) Income (Details) - USD ($) $ in Millions | 1 Months Ended | 3 Months Ended | 12 Months Ended
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Feb. 28, 2018 | Aug. 31, 2017 | Feb. 28, 2017 | Dec. 31, 2018 | Sep. 30, 2018 | Jun. 30, 2018 | Mar. 31, 2018 | Dec. 31, 2017 | Sep. 30, 2017 | Jun. 30, 2017 | Mar. 31, 2017 | Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  | $ 885.7 | $ 821.0 | $ 844.7 | $ 811.8 | $ 823.0 | $ 768.9 | $ 766.3 | $ 725.4 | $ 3,363.2 | $ 3,083.6 | $ 2,883.4
Cost of revenues |  |  |  | 341.4 | 301.3 | 315.9 | 296.7 | 314.9 | 290.8 | 278.9 | 280.0 | 1,255.3 | 1,164.6 | 1,106.3
Selling, general and administrative |  |  |  | 181.7 | 169.7 | 173.9 | 171.6 | 167.7 | 158.8 | 145.9 | 140.7 | 696.9 | 613.1 | 577.0
Research and development |  |  |  | 49.8 | 49.5 | 49.2 | 53.8 | 45.8 | 47.8 | 48.1 | 42.4 | 202.3 | 184.1 | 204.8
Depreciation, amortization and impairments |  |  |  | 162.6 | 166.3 | 172.7 | 188.1 | 169.6 | 173.1 | 175.0 | 165.1 | 689.7 | 682.8 | 738.7
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 69.0
Restructuring and other |  |  |  | (171.0) | 338.7 | 33.5 | 52.2 | 27.8 | 7.8 | 1.1 | 9.2 | 253.4 | 45.9 | 57.0
Operating income (loss) |  |  |  | 321.2 | (204.5) | 99.5 | 49.4 | 97.2 | 90.6 | 117.3 | 88.0 | 265.6 | 393.1 | 130.6
Interest expense |  |  |  |  |  |  |  |  |  |  |  | (597.2) | (609.7) | (661.4)
(Loss) gain on debt financing transactions | $ (93.2) | $ (8.4) | $ (29.7) |  |  |  |  |  |  |  |  | (93.2) | (38.1) | 25.2
Gain on remeasurement of debt |  |  |  | 14.0 | (4.0) | 34.5 | (1.1) |  |  |  |  | 43.4 | 0.0 | 0.0
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | 42.1 | 26.9 | 26.9
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | (339.3) | (227.8) | (478.7)
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | (13.1) | (14.5) | 125.0
Net (loss) income |  |  |  | $ 206.8 | $ (351.6) | $ (5.8) | $ (201.8) | $ (43.1) | $ (59.3) | $ (39.1) | $ (100.8) | (352.4) | (242.3) | (353.7)
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (99.8) | 133.9 | (111.4)
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (452.2) | (108.4) | (465.1)
Reportable Legal Entities | Parent Company |  |  |  |  |  |  |  |  |  |  |  |  |  |
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Cost of revenues |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Selling, general and administrative |  |  |  |  |  |  |  |  |  |  |  | 154.4 | 127.1 | 121.0
Research and development |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 2.1 | 6.1
Depreciation, amortization and impairments |  |  |  |  |  |  |  |  |  |  |  | 44.2 | 71.6 | 53.5
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.0
Restructuring and other |  |  |  |  |  |  |  |  |  |  |  | 194.7 | 29.7 | 32.6
Operating income (loss) |  |  |  |  |  |  |  |  |  |  |  | (393.3) | (230.5) | (213.2)
Interest expense |  |  |  |  |  |  |  |  |  |  |  | 0.0 | (4.6) | (21.0)
(Loss) gain on debt financing transactions |  |  |  |  |  |  |  |  |  |  |  | 0.0 | (1.1) | 0.0
Gain on remeasurement of debt |  |  |  |  |  |  |  |  |  |  |  | 0.0 |  |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | 335.7 | 87.7 | 64.0
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | (57.6) | (148.5) | (170.2)
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | (218.5) | (45.4) | (180.1)
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | (76.3) | (48.4) | (3.4)
Net (loss) income |  |  |  |  |  |  |  |  |  |  |  | (352.4) | (242.3) | (353.7)
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (99.8) | 133.9 | (111.4)
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (452.2) | (108.4) | (465.1)
Reportable Legal Entities | Guarantor Subsidiaries |  |  |  |  |  |  |  |  |  |  |  |  |  |
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  |  |  |  |  |  |  |  |  | 1,654.0 | 1,683.9 | 1,583.5
Cost of revenues |  |  |  |  |  |  |  |  |  |  |  | 490.3 | 511.0 | 480.9
Selling, general and administrative |  |  |  |  |  |  |  |  |  |  |  | 227.0 | 244.4 | 213.8
Research and development |  |  |  |  |  |  |  |  |  |  |  | 87.2 | 101.3 | 145.2
Depreciation, amortization and impairments |  |  |  |  |  |  |  |  |  |  |  | 439.4 | 462.7 | 534.6
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.0
Restructuring and other |  |  |  |  |  |  |  |  |  |  |  | 9.2 | 7.3 | 11.7
Operating income (loss) |  |  |  |  |  |  |  |  |  |  |  | 400.9 | 357.2 | 197.3
Interest expense |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
(Loss) gain on debt financing transactions |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Gain on remeasurement of debt |  |  |  |  |  |  |  |  |  |  |  | 0.0 |  |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | (744.8) | (184.7) | (227.3)
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | (343.9) | 172.5 | (30.0)
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | (28.2) | 21.9 | 61.1
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | 82.3 | (85.6) | 15.9
Net (loss) income |  |  |  |  |  |  |  |  |  |  |  | (289.8) | 108.8 | 47.0
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (66.3) | 65.8 | (43.1)
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (356.1) | 174.6 | 3.9
Reportable Legal Entities | Non-Guarantor Subsidiaries |  |  |  |  |  |  |  |  |  |  |  |  |  |
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  |  |  |  |  |  |  |  |  | 1,540.3 | 1,223.3 | 1,148.6
Cost of revenues |  |  |  |  |  |  |  |  |  |  |  | 721.2 | 629.1 | 553.8
Selling, general and administrative |  |  |  |  |  |  |  |  |  |  |  | 325.5 | 250.2 | 235.9
Research and development |  |  |  |  |  |  |  |  |  |  |  | 112.4 | 74.2 | 42.8
Depreciation, amortization and impairments |  |  |  |  |  |  |  |  |  |  |  | 188.3 | 128.0 | 116.0
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  |  |  | 69.0
Restructuring and other |  |  |  |  |  |  |  |  |  |  |  | 50.6 | 3.8 | 8.1
Operating income (loss) |  |  |  |  |  |  |  |  |  |  |  | 142.3 | 138.0 | 123.0
Interest expense |  |  |  |  |  |  |  |  |  |  |  | (0.5) | (1.2) | (0.2)
(Loss) gain on debt financing transactions |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Gain on remeasurement of debt |  |  |  |  |  |  |  |  |  |  |  | 0.0 |  |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | (83.7) | (26.5) | (4.2)
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | 58.1 | 110.3 | 118.6
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | (19.6) | (38.4) | (25.7)
Net (loss) income |  |  |  |  |  |  |  |  |  |  |  | 38.5 | 71.9 | 92.9
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (113.8) | 128.7 | (135.1)
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | (75.3) | 200.6 | (42.2)
Reportable Legal Entities | SGI |  |  |  |  |  |  |  |  |  |  |  |  |  |
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  |  |  |  |  |  |  |  |  | 547.1 | 498.1 | 469.5
Cost of revenues |  |  |  |  |  |  |  |  |  |  |  | 360.9 | 341.9 | 328.6
Selling, general and administrative |  |  |  |  |  |  |  |  |  |  |  | 42.4 | 41.3 | 46.9
Research and development |  |  |  |  |  |  |  |  |  |  |  | 2.7 | 6.5 | 10.7
Depreciation, amortization and impairments |  |  |  |  |  |  |  |  |  |  |  | 32.6 | 31.3 | 40.9
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.0
Restructuring and other |  |  |  |  |  |  |  |  |  |  |  | (1.1) | 5.1 | 4.6
Operating income (loss) |  |  |  |  |  |  |  |  |  |  |  | 109.6 | 72.0 | 37.8
Interest expense |  |  |  |  |  |  |  |  |  |  |  | (596.7) | (603.9) | (640.2)
(Loss) gain on debt financing transactions |  |  |  |  |  |  |  |  |  |  |  | (93.2) | (37.0) | 25.2
Gain on remeasurement of debt |  |  |  |  |  |  |  |  |  |  |  | 43.4 |  |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | 534.9 | 150.4 | 194.4
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | (2.0) | (418.5) | (382.8)
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | 43.6 | 67.6 | 48.5
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | 0.5 | 157.9 | 138.2
Net (loss) income |  |  |  |  |  |  |  |  |  |  |  | 42.1 | (193.0) | (196.1)
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | 30.0 | 10.3 | (1.7)
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | 72.1 | (182.7) | (197.8)
Eliminating Entries |  |  |  |  |  |  |  |  |  |  |  |  |  |
Condensed Financial Statements, Captions [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total revenue |  |  |  |  |  |  |  |  |  |  |  | (378.2) | (321.7) | (318.2)
Cost of revenues |  |  |  |  |  |  |  |  |  |  |  | (317.1) | (317.4) | (257.0)
Selling, general and administrative |  |  |  |  |  |  |  |  |  |  |  | (52.4) | (49.9) | (40.6)
Research and development |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Depreciation, amortization and impairments |  |  |  |  |  |  |  |  |  |  |  | (14.8) | (10.8) | (6.3)
Goodwill impairment |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.0
Restructuring and other |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Operating income (loss) |  |  |  |  |  |  |  |  |  |  |  | 6.1 | 56.4 | (14.3)
Interest expense |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
(Loss) gain on debt financing transactions |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Gain on remeasurement of debt |  |  |  |  |  |  |  |  |  |  |  | 0.0 |  |
Other income (expense), net |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Net (loss) income before income taxes |  |  |  |  |  |  |  |  |  |  |  | 6.1 | 56.4 | (14.3)
Equity in (loss) income of subsidiaries |  |  |  |  |  |  |  |  |  |  |  | 203.1 | (44.1) | 70.5
Income tax (expense) benefit |  |  |  |  |  |  |  |  |  |  |  | 0.0 | 0.0 | 0.0
Net (loss) income |  |  |  |  |  |  |  |  |  |  |  | 209.2 | 12.3 | 56.2
Other comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | 150.1 | (204.8) | 179.9
Comprehensive (loss) income |  |  |  |  |  |  |  |  |  |  |  | $ 359.3 | $ (192.5) | $ 236.1

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