The law system inspired by the Koran, the Sunna, older Arabic law systems, parallel traditions, and work of Muslim scholars over the two first centuries of Islam. Sharia is often referred to as Islamic law, but this is wrong, as only a small part is irrefutably based upon the core Islamic text, the Koran. A correct designation is "Muslim Law" (i.e. the law system of the Muslims), or "Islam-inspired", "Islam-derived," or even "the law system of Muslims."
This is well known to most Muslims, yet Sharia is always referred to as "based upon the Koran", hence it is the "will of God."
One sees traces of many non-Muslim juridical systems in the Sharia, such as Old Arab Bedouin law, commercial law from Mecca, agrarian law from Madina, law from the conquered countries, Roman law and Jewish law.
Also, calling the Sharia 'law' can be misleading, as Sharia extends beyond law. Sharia is the totality of religious, political, social, domestic and private life. Sharia is primarily meant for all Muslims, but applies to a certain extent also for people living inside a Muslim society. Muslims are not totally bound by the Sharia when they live or travel outside the Muslim world.