When people in the West say that they are atheists, they generally mean that they do not believe in a personal, anthropomorphic deity, such as the triune god of Christianity. But of course, there are other versions of the divine … the totality of being (Spinoza), the enduring possibility of being (Reines), one’s ultimate concern (Tillich), etc.
And since the terms we are using are all in the public domain, we are each free to give them whatever spin that we wish. So when the question comes up in polite conversation, I prefer to say that the existence of God is contingent upon the definition of God.