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Consolidated Balance Sheets (Parenthetical)
$ in Millions
Sep. 30, 2017
€ / shares
Sep. 30, 2017
USD ($)
$ / shares
shares
Dec. 31, 2016
€ / shares
Dec. 31, 2016
USD ($)
$ / shares
shares
Stockholders' Equity:        
Preferred shares, par value | $ / shares   $ 0.0001   $ 0.0001
Preferred shares, authorized   10,000,000   10,000,000
Ordinary shares, par value | € / shares € 0.001   € 0.001  
Ordinary shares, authorized   10,000,000,000   10,000,000,000
Ordinary shares outstanding   140,800,000   143,400,000
Allowance for doubtful accounts | $   $ 6.2   $ 6.3
Commitments and contingencies | $   $ 0.0   $ 0.0