The number of PEs in the US seems to be around 500,000 per NCEES. That represents way more than 1% of all "engineers" -- there are not 50 million "engineers" in the US, unless Subway has started calling their employees "Sandwich Engineers" now. What are you counting as an engineer, if not a PE? For this discussion, an engineer would be someone working in a profession where a PE license is available, matching their day-to-day work. You could say "what about software engineers?" but that will skew your numbers, because we don't know how many SEs would be licensed PEs if a licensing program was available (which is kinda what we're discussing here).
The question is: for those professions where a PE license is available, how many get it? This is a number that seems a bit hard to find, but the consensus seems to be around 20%. So you're off by a factor of 20x. Please don't just make up random stats, or you will be contributing to the misinformation in the world.
I also don't care about the numbers of an organization who has a conflict-of-interest in the matter. I teach graduate level engineering classes and I know for a fact that almost nobody in my classes goes for the PE license. That is representative enough for me over the years.