If the CO2 in use was only 99% pure, given that you use 5% CO2, the total volume of other gases would only be 0.05% of the total incubator gas content. With the degree of gas mixing that happens with each opening of an incubator and the ever changing content of incoming air, i cant imagine such a small % impurity could have any impact on cell culture.
The composition of the 1% would really depend on the method of gas production employed by your supplier. The most commonly used method (as far as i am aware) is purification of CO2 from another output gas such as exhaust gases from chemical and petrochemical processes or natural gas. In those cases the most probable contaminants would be hydrocarbons but if you live in or close to a city then you can be pretty sure the air your breathing is already pretty contaminated with those already.
As correctly pointed out, the answer to your question is with your supplier.
If one wants to be really picky, he may also consider that the actual tank can be a source of contamination (possibly more than the 0.1% impurities in the gas). Some "Food-grade" CO2 supplier use coated tanks. At least, make sure you get newish tanks.
It is also a good idea to have a filter (for hydrocarbons and for particulates) upstream from your cultures.
In any case, consider that the 0.1% of impurities in your CO2 will most likely also include N2 and O2. The proportion of other contaminants will be very small. Unless it is something with a strong biological activity, it is unlikely to constitute a major problem. Of course, how careful you ought to be, also depends on what you are doing with your cells.
Some of the comments on CO2 equilibria above are rather peculiar; luckily it is not what you are interested in.