Read a brian pickings article titled Neuroscientist Sam Harris on Happiness, Spirituality Without Religion, and How to Cultivate the Art of Presence
The essence of this was discovering that feeling in that a person feels extremely comfortable and happy with the self. That feeling is described using a loaded word called "spirituality" and associated with religion. For folks who have experienced it, it is not related to religion at all.
It is outside of it. It is an innate existential feeling that one can get, when a person is honest with his thoughts, feelings and happy for the present moment.