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Condensed Consolidated Statement of Equity Statement - USD ($) shares in Millions, $ in Millions | Total | Preferred stock | Common stock | Additional paid-in capital | Accumulated Other Comprehensive Income | Retained earnings | Treasury stock | Noncontrolling interest | Parent | 2019 Share Repurchase Program | 2019 Share Repurchase Program Common stock | 2019 Share Repurchase Program Additional paid-in capital | 2019 Share Repurchase Program Retained earnings | 2019 Share Repurchase Program Treasury stock | 2018 Share Repurchase Program | 2018 Share Repurchase Program Common stock | 2018 Share Repurchase Program Additional paid-in capital | 2018 Share Repurchase Program Retained earnings | 2018 Share Repurchase Program Treasury stock | 2016 Share Repurchase Program | 2016 Share Repurchase Program Common stock | 2016 Share Repurchase Program Additional paid-in capital | 2016 Share Repurchase Program Retained earnings | 2016 Share Repurchase Program Treasury stock | Accounting Standards Update 2016-01 Accumulated Other Comprehensive Income | Accounting Standards Update 2016-16 Retained earnings
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Beginning balance at Dec. 31, 2017 | $ 12,598.1 | $ 0.0 | $ 0.1 | $ 97.8 | $ (318.4) | $ 15,810.4 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance, shares at Dec. 31, 2017 |  | 0.0 | (211.5) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Dec. 31, 2017 | 12,612.8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Dec. 31, 2017 |  |  |  |  |  |  |  | $ (14.7) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to Biogen Inc. | 2,039.5 |  |  |  |  | 2,039.5 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income (loss) attributable to noncontrolling interest, net of tax | 46.7 |  |  |  |  |  |  | 46.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income | 2,086.2 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | 55.3 |  |  |  | 55.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | 55.0 |  |  |  |  |  |  | (0.3) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, increase (decrease) other | 11.1 |  |  |  |  |  |  | 11.1 | $ 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, decrease from distributions to noncontrolling interest holders | (50.0) |  |  |  |  |  |  | 50.0 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase of common stock, at cost |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (3,000.0) |  |  |  | $ (3,000.0) |  |
Repurchase of common stock, at cost, shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (10.5) |  |  |  | (10.5) |  |
Retirement of common stock pursuant to Share Repurchase Progams, at cost |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0 | $ (171.2) | $ (2,828.8) | $ (3,000.0) |  |
Retirement of common stock pursuant to Share Repurchase Programs, at cost, shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (10.5) |  |  | (10.5) |  |
Issuance of common stock under stock option and stock purchase plans | 24.6 |  | $ 0.0 | 24.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans, shares |  |  | 0.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under award plan |  |  | 0.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock award plan | (38.8) |  | $ 0.0 | (38.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation related to share-based payments | 87.6 |  |  | 87.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Adoption of new accounting guidance | 479.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.5 | $ 478.4
Ending balance at Jun. 30, 2018 | 12,253.7 | $ 0.0 | $ 0.1 | 0.0 | (261.6) | 15,499.5 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2018 | 12,260.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2018 |  |  |  |  |  |  |  | (7.2) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance, shares at Jun. 30, 2018 |  | 0.0 | (201.4) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2018 | 14,037.5 | $ 0.0 | $ 0.1 | 0.0 | (303.9) | 17,334.6 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance, shares at Mar. 31, 2018 |  | 0.0 | (211.0) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2018 | 14,053.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2018 |  |  |  |  |  |  |  | (16.2) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to Biogen Inc. | 866.6 |  |  |  |  | 866.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income (loss) attributable to noncontrolling interest, net of tax | 48.4 |  |  |  |  |  |  | 48.4 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income | 915.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | 42.3 |  |  |  | 42.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | 41.8 |  |  |  |  |  |  | (0.5) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, increase (decrease) other | 11.1 |  |  |  |  |  |  | 11.1 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, decrease from distributions to noncontrolling interest holders | (50.0) |  |  |  |  |  |  | 50.0 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase of common stock, at cost |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (2,750.0) |  |  |  | $ (2,750.0) |  |
Repurchase of common stock, at cost, shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (9.6) |  |  |  | (9.6) |  |
Retirement of common stock pursuant to Share Repurchase Progams, at cost |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0 | $ (48.3) | $ (2,701.7) | $ (2,750.0) |  |
Retirement of common stock pursuant to Share Repurchase Programs, at cost, shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (9.6) |  |  | (9.6) |  |
Issuance of common stock under stock option and stock purchase plans | 8.4 |  | $ 0.0 | 8.4 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans, shares |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under award plan |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock award plan | (1.5) |  | $ 0.0 | (1.5) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation related to share-based payments | 41.4 |  |  | 41.4 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2018 | 12,253.7 | $ 0.0 | $ 0.1 | 0.0 | (261.6) | 15,499.5 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2018 | 12,260.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2018 |  |  |  |  |  |  |  | (7.2) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance, shares at Jun. 30, 2018 |  | 0.0 | (201.4) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Dec. 31, 2018 | 13,031.6 | $ 0.0 | $ 0.1 | 0.0 | (240.4) | 16,257.0 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance, shares at Dec. 31, 2018 |  | 0.0 | (221.0) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Dec. 31, 2018 | 13,039.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Dec. 31, 2018 | (8.0) |  |  |  |  |  |  | (8.0) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to Biogen Inc. | 2,902.9 |  |  |  |  | 2,902.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income (loss) attributable to noncontrolling interest, net of tax | 0.0 |  |  |  |  |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income | 2,902.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | (12.5) |  |  |  | (12.5) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | (12.9) |  |  |  |  |  |  | (0.4) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, increase (decrease) other | 4.3 |  |  |  |  |  |  | 4.3 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase of common stock, at cost |  |  |  |  |  |  |  |  |  | $ (909.9) |  |  |  | $ (909.9) | $ (2,147.4) |  |  |  | $ (2,147.4) |  |  |  |  |  |  |
Repurchase of common stock, at cost, shares |  |  |  |  |  |  |  |  |  | (3.9) |  |  |  | (3.9) | (8.9) |  |  |  | (8.9) |  |  |  |  |  |  |
Retirement of common stock pursuant to Share Repurchase Progams, at cost |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0 | $ (19.7) | $ (890.2) | $ (909.9) | $ 0.0 | $ 0.0 | $ (110.5) | $ (2,036.9) | $ (2,147.4) |  |  |  |  |  |  |
Retirement of common stock pursuant to Share Repurchase Programs, at cost, shares |  |  |  |  |  |  |  |  |  |  | (3.9) |  |  | (3.9) |  | (8.9) |  |  | (8.9) |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans | 26.2 |  | $ 0.0 | 26.2 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans, shares |  |  | 0.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under award plan |  |  | 0.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock award plan | (50.0) |  | $ 0.0 | 0.0 |  | (50.0) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation related to share-based payments | 104.0 |  |  | 104.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | 12,948.8 | $ 0.0 | $ 0.1 | 0.0 | (252.9) | 16,182.8 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | 12,952.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | (4.1) |  |  |  |  |  |  | (4.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance, shares at Jun. 30, 2019 |  | 0.0 | (208.6) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2019 | 13,822.0 | $ 0.0 | $ 0.1 | 0.0 | (219.8) | 17,026.7 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance, shares at Mar. 31, 2019 |  | 0.0 | (219.0) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2019 | 13,829.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Beginning balance at Mar. 31, 2019 |  |  |  |  |  |  |  | (7.9) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income attributable to Biogen Inc. | 1,494.1 |  |  |  |  | 1,494.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income (loss) attributable to noncontrolling interest, net of tax | 0.0 |  |  |  |  |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income | 1,494.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | (33.1) |  |  |  | (33.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Other comprehensive income (loss), net of tax | (33.5) |  |  |  |  |  |  | (0.4) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling interest, increase (decrease) other | 4.2 |  |  |  |  |  |  | 4.2 | $ 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Repurchase of common stock, at cost |  |  |  |  |  |  |  |  |  | (909.9) |  |  |  | $ (909.9) | $ (1,491.6) |  |  |  | $ (1,491.6) |  |  |  |  |  |  |
Repurchase of common stock, at cost, shares |  |  |  |  |  |  |  |  |  |  |  |  |  | (3.9) | (6.5) |  |  |  | (6.5) |  |  |  |  |  |  |
Retirement of common stock pursuant to Share Repurchase Progams, at cost |  |  |  |  |  |  |  |  |  | $ 0.0 | $ 0.0 | $ (19.7) | $ (890.2) | $ (909.9) | $ 0.0 | $ 0.0 | $ (44.9) | $ (1,446.7) | $ (1,491.6) |  |  |  |  |  |  |
Retirement of common stock pursuant to Share Repurchase Programs, at cost, shares |  |  |  |  |  |  |  |  |  |  | (3.9) |  |  | (3.9) |  | (6.5) |  |  | (6.5) |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans | 9.6 |  | $ 0.0 | 9.6 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock option and stock purchase plans, shares |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under award plan |  |  | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of common stock under stock award plan | (1.1) |  | $ 0.0 | 0.0 |  | (1.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation related to share-based payments | 55.0 |  |  | 55.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | 12,948.8 | $ 0.0 | $ 0.1 | $ 0.0 | $ (252.9) | $ 16,182.8 | $ (2,977.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | 12,952.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance at Jun. 30, 2019 | $ (4.1) |  |  |  |  |  |  | $ (4.1) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Ending balance, shares at Jun. 30, 2019 |  | 0.0 | (208.6) |  |  |  | (23.8) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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