Here's what we know:
* Trillions of stars: The Milky Way is estimated to contain between 100 and 400 billion stars.
* Planet formation: Many, if not most, stars are thought to have planets orbiting them.
* Exoplanet discoveries: Since the 1990s, we've discovered thousands of exoplanets, planets outside our solar system.
* Statistical estimates: Based on these discoveries, astronomers estimate that there could be hundreds of billions of planets in the Milky Way, meaning hundreds of billions of solar systems.
However, there are many uncertainties:
* Detection bias: We are more likely to detect larger planets closer to their stars, meaning we could be missing many smaller, more distant planets.
* Unseen planets: Many planets may be hidden from our current detection methods, particularly those far from their stars or those with low mass.
* Our limited view: We can only observe a small fraction of the Milky Way, making it difficult to extrapolate our findings to the entire galaxy.
In short, while we can't give a definitive number, it's likely that the Milky Way contains hundreds of billions of solar systems.