I would like to know the ratio of cosmic microwave background radiation to normal radiation in the universe. I am considering cosmic microwave background radiation to include the microwave, and any other radiation that is being emanated from near the "edge of the universe", while normal radiation is radiation emmitted by stars, nebulae, and other sources within the universe (excluding the cosmic microwave background). Since we are in a galaxy, I know that the normal radiation here far exceeds the cosmic microwave background, but I am interested in the "average" value over the universe. For example: total cosmic microwave background radation in the universe / total normal radiation in the universe.
Photons from the CMB outnumber all other photons by more than 200:1. This is contained in Pela's excellent answer to: Does the number density of photons nγ≈108m−3 refer to CMB photons only?. Pela uses this graph from Hill et al. 2018 to derive this ratio. Note that the CMB forms the largest contribution to the electromagnetic spectrum.
Most of the light energy in the universe is still in the cosmic microwave background (CMB). If you take the CMB map as measured by COBE, WMAP, or Planck and remove the emission from the MW, then you have a map that represents the IR/MW light distribution at a random point in space. This map is strongly dominated by the relic photons. The maps do show lots of point sources, which are the galaxies, but their contribution to the total photon number or energy is small. I do not have exact numbers on this though.