This fungi is most likely to be Ganoderma lucidum. It is commonly known as Ling Chih. This fungi has a shiney surface on top. It should be corky/moist when fresh and woody/dry when old. It should have no odor. This fungi generally grows on living deciduous trees.
Someone mentioned that it may be Ganoderma applanatum. But it doesn't appear to be it because G. applanatum does not have a shiney surface and has grey and brown to black concentric rings. The pictured showed here has reddish tints and appears to be shiney. The white-greyish areas that you see in additional photos is probably a secondary fungus (mold), which is indicative of the later stages of decomposition.
It cannot be a Resinous polypore (Ischnoderma resinosum) because this polypore grows on nonliving logs and stumps of deciduous trees and does not have a shiney cap. Rather, it has a velvety cap and has liquidy amber drops that exude from the underside. It also a anise (black licorice) odor and is soft like a saturated sponge when fresh - not corky.
Note that the G. lucidum is a concern for arborists, for it is a heart rot fungus for deciduous trees. Now, I. resinosum is not a concern because it is a dead-feeder and does not grow on living trees.
I don't know what location you found it at, though.... it could be Ganoderma oregonense, if you found it in the NW US, eg Washington State.
I have additional photos of all these species if anyone would needs extra images for their reference collection.
Ty