How is the compensation value for an injured worker determined when there are faults on the part of both the company and the injured person himself, and what is the role of each party in determining the percentage of fault and the appropriate compensation?

If a sane, adult worker's hand slips and he is injured, then the offense is against himself, whether it occurs during work, at the workplace, or outside it, and whether he was commanded by someone or not. The employer does not guarantee anything unless he was the cause. Islamic Sharia does not differentiate between an injury resulting from work or otherwise, unless it was due to the hirer. If the hirer did not cause it in any way, then the worker has no right against him.

The jurists have stipulated that if someone hired to dig a well falls into it, or if someone commanded to descend a well or climb a tree perishes, there is no guarantee on the one who hired him.

If another person makes a mistake by operating a machine while the worker has his hand in it, then the one who made the mistake bears the offense.

What was mentioned about the engineer needing to prevent him or the presence of a monitoring official is irrelevant, because the worker is a responsible, discerning individual who interacted with the machine of his own volition, so no one guarantees him. If the employer or employees choose to give him money, this is a kindness and an act of charity.