Correct. Islam was founded by Muhammed around 632 AD.in Saudi Arabia. The first major jihad was against the Jews of Medina for rejecting Islam.
By the time of Muhammads death, they occupied all Arabia. They proceeded with Imperialistic military campaigns of jihad conquest until they had conquered, occupied, and colonized the entire Middle East, North Africa, and southern Europe.
They were stopped at Tours by Charles Martel. And again in 1683 at the Gates of Vienna.
They are the “occupiers”.