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Shareholders' Equity
 9 Months Ended
Sep. 30, 2016
Stockholders' Equity Note [Abstract]  
Shareholders’ equity
Shareholders’ equity

During the nine months ended September 30, 2016, we declared cash dividends totaling $93.1 million and repurchased 17.7 million shares under our repurchase authorization for a total of $347.7 million. During the nine months ended September 30, 2015, we declared cash dividends totaling $86.3 million and repurchased 21.2 million shares under our repurchase authorization for a total of $433.7 million. In July 2016, our Board of Directors approved a $1.0 billion increase in our share repurchase authorization. At September 30, 2016, we had remaining authorization to repurchase $1.3 billion of common shares.

Under our share-based compensation plans, we accept shares as payment under certain conditions related to stock option exercises and vesting of shares, generally related to the payment of minimum tax obligations. During the nine months ended September 30, 2016 and 2015, participants surrendered shares valued at $3.2 million and $9.0 million, respectively, under these plans. Such share transactions are excluded from the above noted share repurchase authorization.