Is there any data or a percentage you can share with me on how many women still test positive for hpv even if they are vaccinated?

There is no way to generalize: it depends entirely on whether they were vaccinated before or after first sex; or, if after, what their sexual lifestyles were before vaccination. And also sexual lifestyle afterward; the standard vaccine prevents infection with only 9 of over 100 HPV types. Those 9 cause 90% of cancers and warts, but they can test positive for the other types.

Some people had exposed to the virus before they received vaccine then vaccine's effectiveness is reduced. The effectiveness of HPV vaccine is studied by the reduction rate of cervical cancer, genital warts and HPV related oral disease, not based on the detection of antibodies as the vax of other viral diseases. The reduction rate is 97% for HPV-naive population but only 44% for general population