Percentages only? Or percentages with population numbers?
Note that population numbers are not required for the result but are useful to simplify
the manual calculation below — and to avoid the use of algebra for those who have
been out of school for a while!
Size of the population
Percentage of the population vaccinated
%
Number of deaths
Percentage of deaths that were vaccinated
%
Death for the unvaccinated is 13.59 times more likely than for the vaccinated.
Calculations
87% of the population of 100000 are vaccinated. That is, 87000 are
vaccinated.
100% - 87% = 13% of the population of 100000
are not vaccinated. That is, 13000
are NOT vaccinated.
33% of the 100 deaths were vaccinated. That is, 33 who died were vaccinated.
100% - 33% = 67%
of the 100 deaths were not vaccinated. That is, 67 who died were NOT vaccinated.
67 unvaccinated died out of the unvaccinated 13000. That is, 1 in 194.03 unvaccinated
died.
33 vaccinated died out of the vaccinated 87000. That is, 1 in 2636.4 vaccinated
died.
So, unvaccinated are 2636.4/194.03 = 13.59 times more likely to die than are vaccinated for these inputs.