NICOSIA, Cyprus — Conservative candidate Nicos Anastasiades won Cyprus’s presidency Sunday by one of the widest margins in 30 years and now faces the formidable task of preventing the country from suffering a financial meltdown.

Anastasiades, 66, won the runoff election with 57 percent of the vote, far ahead of left-wing rival Stavros Malas, who nabbed 42 percent, final results showed.