Percentage of mutations caused by radiation?
You might use the frequency of thymine-thymine dimers to extrapolate the rate of UV induced damage. This has been studied but I couldn't find a paper in human cell lines. It appears different cell lines have different susceptibilities to thymine-thymine dimers. The majority of DNA mutation in healthy people comes from endogenous sources, not radiation. Recombination during fertilization may also contribute significantly to changes in DNA sequence. Wikipedia nicely breaks down some of the different sources of mutation. 

Manifestations of mutations from endogenous sources is measurable as our bodies become genetically more chimeric with time. Regions of our bodies become deferentially susceptible to disease due in largest part to errors in DNA repair and replication, unrelated to electromagnetic insult.

Damage due to UV radiation, like the creation of a thymine-thymine dimer, can be repaired readily by base excision and replacement. While DNA is dividing, it is cut many times to allow the molecule to unwind. Single strand breaks resulting from DNA damage have robust mechanisms for repair. For example, when a thymine-thymine dimer is excised or single strand break is otherwise introduced, enzymatic recognition makes identification of a template for repair possible. It is also very unlikely in a single strand break that another break will occur in the same location, decreasing the mutation effect of UV. 

Double strand breaks and errors in DNA replication are intrinsically more permanent as a substituted base is chemically indistinguishable from any other of the same type. Much of the new genetic information introduced into any mammalian genome comes from endogenous sources, not the environment. 


Error rate of human DNA polymerase
Deamination is a major contributor to mutation rate