I'm not even going to discuss archaic d20 percentile rolling. I don't see the relevance and more experienced gamers than I have more than sufficiently explained the method that does not involve 2d10 percentile die addressed in the OP.
When rolling 2d10 for a percentile, common practice is to have a ten sided percentile die that is marked as 00,10,20,30,40,50,60,70,80,90 and a standard 10 sided die that us marked as 1,2,3,4,5,6,7,8,9,0.
Now, some may say that I'm already inconsistent in listing 00 first for the percentile and then 0 last for the unit, but even if I were using two unit d10s, I'd still consider 0 to come first on the die allocated for the percentage and last for the single digit, when listing them in order for this type of roll.
The percentile d10 represents the "tens" digit in the percentile result and the single digit die represents the "ones" digit.
In the range of numbers from 01-100, there are 10 positions where there is a 0 in the "tens" place. Those are 01,02,03,04,05,06,07,08,09, and 100.
In mathematics, the number 10 can be broken down to a "1" in the "tens" spot and a 0 in the "ones" spot or 10+0.
Given that, please consider the zeroes on a percentile die as placeholders and not "zero in the ones spot."
It doesn't matter what you roll on the percentile die, the first digit that you see will be in the tens spot and the number remains undefined, e.g. 10 = 1 in the "tens" spot with an undefined "ones" spot or 1?, and, 00 = 0 in the "tens" spot with an undefined "ones" spot or 0?, where in both cases ? can only be 0,1,2,3,4,5,6,7,8, or 9.
Therefore the result for a throw of 00 for the percentile die and 0 for the single digit die, where the result must fall within a range of 1-100, must result in a 0 in the "tens" spot and a 0 in the "ones" spot which compels a 1 in the "hundreds" spot or 100+00+0=100.
Furthermore, the range is 1-100, not 0-100, because a percent is part of 100, not part of 101. Also a 0% on an attempt to hit is essentially missing the shot you never took, because at 1% there will be an outcome of the attempt, dismal as it may be.
I suppose if I were to be running a game and one of the players were to insist that your 00 + 0 as 0% be allowed, I were to allow it for them alone, and they were to roll 00 and 0 for the percentage and single unit d10s respectively, then the outcome would be something along the lines of:
The advancing enemy continues to close within striking distance, appearing slightly confused as you stand, shoulders squared, weapon sheathed, and a look of proud determination on your face as you do absolutely nothing, leaving him free to swing his longsword, seperate your head cleanly from your neck, and send your head flying across the room, bouncing off the wall, and rolling to a stop, your smug, self assured smile settling firmly into the rigor of your cooling muscles and flesh.