Great question Malbrecht! I think the real question is what percent of women who have been exposed to the strains of high risk HPV that cause cervical cancer actually DEVELOP cancer.
Something like 80% of women who have been sexually active at any point in their life have been exposed to HPV by the time they are 50. I suspect with more current research those numbers will actually be much higher, but I don't know for certain. Most women who are exposed to HPV can fight the virus so it doesn't cause cell damage in the cervix.
You can read much more information about HPV at the Center for Disease Control's website.