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Equity
3 Months Ended
Mar. 31, 2019
Equity [Abstract]  
Equity Equity

Share Repurchases. During the three months ended March 31, 2019, we repurchased 9,049,882 shares of our class C ordinary shares at an average price per share of $23.66, for an aggregate purchase price of $214.1 million, including direct acquisition costs. At March 31, 2019, the remaining amount authorized for share repurchases was $353.2 million.