The phrase "based on the facts of" is correct and usable in written English.
You can use it when you are referring to facts that are the foundation of a decision, opinion, or statement. For example, "Based on the facts of the case, the jury found the defendant guilty."
David Hemenway, director of the Harvard Injury Control Research Center, said it is foolish to draw policy conclusions based on the facts of one specific shooting when the U.S. has more than 30,000 gun deaths per year.
Once an individual becomes aware of himself as a being based on the facts of his or her past (such facts as where one was born, or who were one's parents), and also as projected towards the future which he or she chooses, the individual will assume full responsibility for his or her life and choices.
Project her future mobility based on the facts of her life and the data.
"We charged what we had based on the facts of the case," she said.
Their reasons were not based on the facts of the case, but on false guesses and erroneous speculations.
(A spokesperson for Perry says, "The Governor made his decision based on the facts of the case").
But history was based on the fact of storms taking different paths.
On the one hand you tell residents they are fully empowered civic participants but on the other you lobby and make claims on taxation and public spending based on the fact of communities' disempowerment.
Much Buddhist doctrine is based on the fact of suffering; its reality, cause, and means of suppression formed the subject of the Buddha's first sermon (see Four Noble Truths).
The planners also seem to have assumed that the overwhelming majority of Iraqi Shiites would welcome American forces as liberators -- an assumption based on the fact of the Shiite uprisings in southern Iraq in 1991, in the aftermath of the first gulf war.
They are based on the fact of who is making decisions about how data is processed.
