David McCandless of Information is Beautiful summarizes the available research on HPV vaccine safety in yet another compelling graphic. In summary, Gardasil is no more dangerous than living.




Instead, the odds are calculated using the National Safety Council’s method. That is:
population of United States / number of deaths per year
That gives the one year risk rate. Then if you divide that number again
by the average US lifespan (77.8 years) you get the lifetime risk. See
the risk chart here.
In summary, Gardasil is no more dangerous than living.
"...Gardasil and Cervarix prevent nearly 100 percent of the precancerous
cervical cell changes caused by the types of HPV targeted by the
vaccine for up to 4 years after vaccination among women who were not
infected at the time of vaccination"
There are no unusual patterns or clustering in the deaths that would suggest they were cause by the vaccine.
By showing a 500:1 chance of dying from cervical cancer, it hasn't been established whether that is a statistic against all deaths for women, or only for those that contracted cervical cancer. Since the statistic for getting cervical cancer is not mentioned, the benefit of HPV can't actually be articulated.
It would also be useful to know how many that get HPV may still get cervical cancer.