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Income Taxes (Tables)
 3 Months Ended
Mar. 31, 2019
Income Tax Disclosure [Abstract]  
Reconciliation of effective tax rate to the U.S. federal statutory tax rate A reconciliation of the U.S. federal statutory tax rate to the Company’s effective income tax rate is as follows:
 
Three months ended March 31,
 
2019
 
2018
U.S. federal statutory tax rate
21.0
 %
 
21.0
 %
State income taxes, net of federal benefit
0.5

 
(7.5
)
Non-U.S. income taxed at different rates
1.3

 
20.7

Reduction in tax benefit related to stock-based awards
(2.3
)
 
(44.2
)
Non-deductible expenses
(0.6
)
 
(8.3
)
Research and development credit
0.8

 
24.7

Increase in valuation allowance
(15.7
)
 
(3.1
)
Other
(0.2
)
 
—

Effective income tax rate
4.8
 %
 
3.3
 %