As the Satanic ideals and religion grew more popular throughout the decades of the 20th century, most Satanists were only symbolic Satanists. This means they used Satan as a symbol for desires that other religions denied, individuality, strength, independance, etc, but did not actually worship or believe in Satan. To be a Theistic, or traditional Satanist, means to be one that truly believes in Satan and worships him as the deity that he is.
*Philosophical/Symbolic Satanism- " We don't actually believe in Satan, but we live very similarly to the principles of which a true Satanist operates on, minus worshipping"
*Theistic Satanism*- I believe in and worship Satan as a god