That's highly-dependent on the country. Ecuador has been almost totally powered by renewables, when they're not experiencing droughts, due to harnessing their normally abundant rainfall and mountainous terrain via hydroelectric power.
Off-shore wind is another power source that's nearly 24/7, if you aggregate it over a large enough region. There are even certain locations where the wind is pretty much always blowing at a decent strength.
In near equatorial regions with lots of sunlight, it's possible to be entirely solar powered. Germany actually has lots of solar power, but it's not the most sunny place and it's located pretty far north. I've heard a much higher proportion of their power is from renewables than the US. I'm pretty sure they were even one of the leading users of renewables in Europe, at one point.