How do I multiplayer?

Looking to add an enemy where I load in the stats he has remaining from his last fight with a different person.

Player A does 20% damage

Player B does 40% damage

Player C should see a something with 40% health left

Anyone have any links to a video or forum that covers something like this?

My approach would be to not sync health values, but have the host and peers all keep track of the value in question.

Then, when the host detects a reduction of health, the host sets it on the object representing the peer and broadcasts a message with the health value and the peerID. All peers receive this message and update the peer objects health value accordingly.