The only thing that exists is your perception. I can be perceived and all things that can be perceived can be perceived but, again, this is limited to your perception.
I agree that my perception exists. However I don't know whether your does. I assume it is somewhere there, but this is just an assumption, whereas my perception is a fact for me.
Sometimes I see the following scheme:
1. The world exists because it is perceived by me.
2. The question "is the world objective, or is it just a product of imagination" doesn't make much sense since those 2 options are indistinguishable.
The true question is who I am. Either I am a particular human body (with particular brain molded in society), or am I some (non-material) observer.
2.1. If I think that I am a particular human body, then I accept the perceived world as the reflection of the objective one (because human body is the part of it), and there are about 7E+9 more reflections on Earth. So there are other people too with their independent perceptions.
2.2. If I am an abstract observer, then I can't influence this world because I don't have a body to act in it (the body I am tied to obeys the laws of the world it exists in). In that case I think I can be tied to any body (e. g. to a stone). But it doesn't matter, because I do not exist: I was killed by Occam's razor.
I neglect the possibility that I created this world deliberately and can create anything with my imagination. I failed to materialize one million bucks so far. So the world doesn't really depend that much on my consciousness. My experience shows me that it has objective nature.