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Summary of Significant Accounting Policies - Narrative (Details) - USD ($) | 3 Months Ended | 12 Months Ended |
--- | --- | --- | ---
Dec. 31, 2020 | Sep. 30, 2020 | Jun. 30, 2020 | Mar. 31, 2020 | Dec. 31, 2019 | Sep. 30, 2019 | Jun. 30, 2019 | Mar. 31, 2019 | Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Total revenues | $ 279,400,000 | $ 279,300,000 | $ 254,200,000 | $ 261,500,000 | $ 238,500,000 | $ 256,400,000 | $ 269,900,000 | $ 258,000,000.0 | $ 1,074,400,000 | $ 1,022,800,000 | $ 1,041,300,000 |
Foreign currency transaction losses |  |  |  |  |  |  |  |  | 900,000 | 1,400,000 | 1,500,000 |
Restricted cash | 600,000 |  |  |  | 600,000 |  |  |  | 600,000 | 600,000 |  |
Acquisition costs |  |  |  |  |  |  |  |  | $ 1,100,000 | 0 | 0 |
Software useful life |  |  |  |  |  |  |  |  | 7 years |  |  |
Amortization of capitalized software |  |  |  |  |  |  |  |  | $ 2,100,000 | 1,900,000 | 1,600,000 |
Accumulated amortization of capitalized software costs | 40,500,000 |  |  |  | 36,900,000 |  |  |  | 40,500,000 | 36,900,000 |  |
Accumulated other comprehensive loss | (649,600,000) |  |  |  | (597,700,000) |  |  |  | (649,600,000) | (597,700,000) | (557,900,000) | $ (546,700,000)
Accumulated Other Comprehensive (Loss) Income |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Accumulated other comprehensive loss | $ 111,900,000 |  |  |  | $ 122,600,000 |  |  |  | $ 111,900,000 | 122,600,000 | 124,500,000 | 89,400,000
Cumulative effects of change in accounting standards |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Accumulated other comprehensive loss |  |  |  |  |  |  |  |  |  |  | 300,000 | 1,700,000
Cumulative effects of change in accounting standards | Accumulated Other Comprehensive (Loss) Income |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Accumulated other comprehensive loss |  |  |  |  |  |  |  |  |  |  | 4,900,000 | $ 4,900,000
Minimum | Restricted Stock |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Share based compensation vesting period (years) |  |  |  |  |  |  |  |  | 2 years |  |  |
Minimum | Restricted Stock Performance Plan |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Plan performance period (years) |  |  |  |  |  |  |  |  | 1 year |  |  |
Minimum | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  |  |  | 10 years |  |  |
Minimum | Developed technology |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  |  |  | 4 years |  |  |
Maximum | Restricted Stock |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Share based compensation vesting period (years) |  |  |  |  |  |  |  |  | 4 years |  |  |
Maximum | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  |  |  | 23 years |  |  |
Maximum | Developed technology |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Estimated useful life |  |  |  |  |  |  |  |  | 20 years |  |  |
Royalty |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Total revenues |  |  |  |  |  |  |  |  | $ 7,500,000 | $ 6,800,000 | $ 5,900,000 |
China |  |  |  |  |  |  |  |  |  |  |  |
Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Ownership of joint ventures (as a percent) | 50.00% |  |  |  |  |  |  |  | 50.00% |  |  |

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