If 3% of the population suddenly gained superpower, you can be sure the entire world would be in an uproar. So much unprecendented possibilities popping up overnight out of nowhere on a global scale, ending up in the hands of hundreds of millions of totally random people, with totally random values and mindsets, in a society that is completely unprepared to deal with the phenomenon, and notably doesn't have any way to counter/control/regulate the superpowered population ?
What could possibly go wrong ? ^ ^;
10 years later, you would end up with a post-apocalyptic law-of-the-jungle anarchy, in which power users who won the lottery rule the world as demi-gods, and everyone below is organized according to a purely "asskicking equals authority" power hierarchy that would make social darwinism look like an utopia, with the surviving majority of non-powered people treated as worthless disposable property.
TL;DR : with world-wide random superpowers comes a cataclysmic civilization collapse.