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Net Income (Loss) per Share (Tables) | 9 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2018 | Dec. 31, 2017
Earnings Per Share [Abstract] |  |
Schedule of Numerators and Denominators of Basic and Diluted Net Loss per Share Computations | The numerators and denominators of the basic and diluted net income (loss) per share computations are calculated as follows:
|  | Nine Months Ended September 30, |
|  | 2018 |  |  | 2017 |
Numerator: |  |  |  |  |  |  |  |
Net income (loss) attributable to Ceridian |  | $ | (63.2 | ) |  | $ | (54.2 | )
Less: Loss from discontinued operations |  |  | (14.8 | ) |  |  | (2.4 | )
Net income (loss) from continuing operations attributable to Ceridian |  |  | (48.4 | ) |  |  | (51.8 | )
Less: Senior Preferred Stock dividends declared |  |  | 7.7 |  |  |  | 15.3 |
Net income (loss) from continuing operations attributable to Ceridian available to common stockholders |  | $ | (56.1 | ) |  | $ | (67.1 | )
Denominator: |  |  |  |  |  |  |  |
Weighted-average shares outstanding – basic and diluted |  |  | 105,730,178 |  |  |  | 65,181,373 |
Net income (loss) per share from continuing operations attributable to Ceridian—basic |  | $ | (0.53 | ) |  | $ | (1.03 | )
Net loss per share from discontinued operations—basic |  | $ | (0.14 | ) |  | $ | (0.04 | )
Net income (loss) per share attributable to Ceridian—basic |  | $ | (0.67 | ) |  | $ | (1.07 | )
Net income (loss) per share from continuing operations attributable to Ceridian—diluted |  | $ | (0.53 | ) |  | $ | (1.03 | )
Net loss per share from discontinued operations—diluted |  | $ | (0.14 | ) |  | $ | (0.04 | )
Net income (loss) per share attributable to Ceridian— diluted |  | $ | (0.67 | ) |  | $ | (1.07 | )
| The numerators and denominators of the basic and diluted net loss per share computations are calculated as follows:
|  | Year Ended December 31, |
|  | 2017 |  |  | 2016 |  |  | 2015 |
Numerator: |  |  |  |  |  |  |  |  |  |  |  |
Net loss attributable to Ceridian |  | $ | (9.2 | ) |  | $ | (92.9 | ) |  | $ | (104.7 | )
Less: Income (loss) from discontinued operations |  |  | (6.0 | ) |  |  | 12.5 |  |  |  | 3.7 |
Net loss from continuing operations attributable to Ceridian |  |  | (3.2 | ) |  |  | (105.4 | ) |  |  | (108.4 | )
Less: Senior Preferred Stock dividends declared |  |  | 20.5 |  |  |  | 14.1 |  |  |  | — |
Net loss from continuing operations attributable to Ceridian available to common stockholders |  | $ | (23.7 | ) |  | $ | (119.5 | ) |  | $ | (108.4 | )
Denominator: |  |  |  |  |  |  |  |  |  |  |  |
Weighted-average shares outstanding—basic |  |  | 65,204,960 |  |  |  | 64,988,338 |  |  |  | 64,924,845 |
Weighted-average shares outstanding—diluted |  |  | 65,204,960 |  |  |  | 64,988,338 |  |  |  | 64,924,845 |
Net loss per share from continuing operations attributable to Ceridian—basic and diluted |  | $ | (0.36 | ) |  | $ | (1.84 | ) |  | $ | (1.67 | )
Net (loss) income per share from discontinued operations—basic and diluted |  | $ | (0.10 | ) |  | $ | 0.19 |  |  | $ | 0.06 |
Net loss per share attributable to Ceridian—basic and diluted |  | $ | (0.46 | ) |  | $ | (1.65 | ) |  | $ | (1.61 | )
Schedule of Potentially Dilutive Shares Excluded from Computation of Diluted Net Loss per Share | The following potentially dilutive weighted-average shares were excluded from the calculation of diluted net income (loss) per share because their effect would have been anti-dilutive:
|  | Nine Months Ended September 30, |
|  | 2018 |  |  | 2017 |
Senior convertible preferred stock |  |  | 7,358,603 |  |  |  | 16,802,144 |
Junior convertible preferred stock |  |  | 25,508,456 |  |  |  | 58,244,308 |
Stock options |  |  | 14,127,557 |  |  |  | 11,349,251 |
Restricted stock units |  |  | 561,836 |  |  |  | 478,325 |
| The following potentially dilutive shares were excluded from the calculation of diluted net loss per share because their effect would have been anti-dilutive:
|  | Year Ended December 31, |
|  | 2017 |  |  | 2016 |  |  | 2015 |
Senior convertible preferred stock |  |  | 16,802,144 |  |  |  | 12,601,608 |  |  |  | — |
Junior convertible preferred stock |  |  | 58,244,308 |  |  |  | 58,244,308 |  |  |  | 58,244,308 |
Stock options |  |  | 10,201,105 |  |  |  | 8,423,124 |  |  |  | 7,468,081 |
Unvested RSUs |  |  | 451,190 |  |  |  | 155,692 |  |  |  | 190,477 |

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- Definition Tabular disclosure of securities (including those issuable pursuant to contingent stock agreements) that could potentially dilute basic earnings per share (EPS) in the future that were not included in the computation of diluted EPS because to do so would increase EPS amounts or decrease loss per share amounts for the period presented, by antidilutive securities. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=6371337&loc=d3e3550-109257 + Details
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- Definition Tabular disclosure of an entity's basic and diluted earnings per share calculations, including a reconciliation of numerators and denominators of the basic and diluted per-share computations for income from continuing operations. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=6371337&loc=d3e3550-109257 + Details
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