See the overall percentage completion of a recursive cp command

Question

Is it a simple way to track the completion of a large cp -r command?
To get something like:

copying 10%
...
copying 20%

Maybe using a pipe to another command?
cp -rvv orig dest | show_as_percent

---

update

I've checked this question, but when I try to copy folder:
rsync -P source dest
or
rsync --progress source dest
or
rsync --info=progress2 source dest

it says: skipping directory source

After checking this resource, I see the rsync command working is:
rsync -r --progress source dest, great, but the output comes as:

source/
source/a.c
          4,114 100%    0.00kB/s    0:00:00 (xfr#1, to-chk=3/5)
source/b.c
          5,480 100%    5.23MB/s    0:00:00 (xfr#2, to-chk=2/5)
source/c.c
          4,615 100%    4.40MB/s    0:00:00 (xfr#3, to-chk=1/5)

Is there an easy way to have the overall percentage (and not per file percentage) and a more simple output which can be easily parsed using awk for example? Looking for a way of getting in console a nice integer representing a completion percentage.

Any suggestion in the shape of:
cp -rvv orig dest | show_as_percent