What percent of people like cats?

The exact number is not known, but there are many millions of cat owners around the world. In the United States alone there are 37 million households that own cats.
The total number of cats or cat-owning households cannot be estimated with any certainty, but it may be in the range of 200 to 300 million of either. Some figures on pet cats from the period 2008 to 2012:

US cats (2012) 95 million

Canada 4.5 million

Mexico 14 million

Brazil (2011) 14 million

Australia (2011) 2.4 million

South Africa 2 million

Europe (2008):

UK 10 million

Germany 8 million

Spain 3 million

Switzerland 1.4 million

Asia (2011):

China 11 million

Japan 13 million