You are posting old science that is outdated the second it comes out. Read the NEW science, how the number of cases continue to soar even in the most highly vaccinated places on the planet. As I said, the percentages don't really matter. It doesn't matter whether breakthrough cases are 20%, 40%, 50% or the much higher percent I claim. The bottom line is in the most highly vaccinated places on the planet, cases continue to soar. That's because the vaccinated are spreading Delta. Until you guys realize this and accept it, cases will continue soaring. Already, most of the scientists have been changing their stories to "the vaccines greatly reduce hospitalizations and deaths" (which is true) because your very own leftists have given up trying to claim that the vaccinated aren't spreading the virus. And, they are also giving up on the idea that most breakthrough cases are not symptomatic because they are realizing that the cases are NOT asymptomatic, harping now on what I said before, "the vaccines greatly reduce hospitalizations and deaths". And they have begun mask mandates again because they now realize that the vaccinated are spreading the virus. Why can't you get on board your very own leftist train?