We also have periods in the winter (so solar of little to no use), where we can have a week or two of no wind.
As the gas generators are not run constantly, they're more expensive than if they were. There are various (at least 3) UK "gridwatch" sites available, offering real time and historical generation mix. Maybe have a look.
From memory, so probably flawed, we still tend to depend upon nuclear and gas for around 40 - 50 % of our generation (nuke being low - say between 5 and 10).