I'm actually not that convinced that this will happen. I've seen some places chuck around 60% infected figures for reasons I don't follow (it'd take two weeks of unhindered spread for a virus with an R0 of 3.5 to infect 60% of a population, if we assume the viral load replicates sufficiently to become infectious but not symptomatic within 24h), but - unless we assume China is lying by two orders of magnitude, and suppressing testing to suppress numbers - even in Wuhan, the number is 0.5%. That's still the largest rate in the world - in Italy right now, the percentage of people infected is 0.025%. Spain is starting to spike, at 0.01%. Iran, in third place of highest total cases, is at 0.012%, and they'd all have to be suppressing numbers even more.
China saw new cases slowly increase over a fortnight, then jump to almost ten times the rate over a week, followed by a week in which it doubling. For three weeks it remained at that level - with some variation - before new cases started to decline back to a handful.
The ROW figures started to rise as the China cases started to fall. We've seen them slowly increase over a fortnight, then jump to almost ten times the rate over a week, then double over another week, and it's been pretty stable at 4k new cases a day for just about a week and a half now. While it seems to be at a peak, we can't safely say that'll last until next weekend then start to fall just because it did in China - China's approach may differ from other people's - but the pattern is pretty similar thus far. I need to check into active case numbers (ongoing, not resolved by death or recovery), but I recall the rate is either close to or equal to the new infections rate at the moment.
Even accounting for unknowingly infected and never tested (mild symptoms) of two-thirds or more of the actual infected count, we're still only seeing tiny proportions of populations becoming infected.
