Rocketman:
Lots of calcs done by the engine management system to determine when to enable/disable stop start. Lots of factors like temps, length of time running, ambient conditions, engine load (AC etc.) taken into account.
They have a large starter-generator that acts as an alternator an a quick starter. Technically they’re classed as micro-hybrids. Just let it do it’s thing and it will generally save you a bit.
However, they’re designed to give you a better economy figure on the Euro (or US) drive cycle. The Euro one has several longish stops in it, so stop start systems give around 4-5% better economy figures on the official test. In reality, with shorter stops, it’s probably a bit less than that.
EDIT: And you don’t really use/waste a significant amount of fuel starting a warm engine.