local Offset = workspace.a.CFrame / workspace.b.CFrame
But this of course errors. How exactly can you get the position and rotation relative to an anchor point?
This method is the one you want;
http://wiki.roblox.com/index.php/CFrame#toObjectSpace
It returns the offset of b relative to a using
a:toObjectSpace(b)
You can try a.CFrame * b.CFrame:inverse()
That should give you the desired result.
Is there a way to use the stored offset and applying rotations to it?
For example:
local offset = a.CFrame * b.CFrame:inverse()
b.CFrame = a.CFrame * offset
I tried it in this case and it resulted like so:
local target = workspace.Target
local offset = target.a.CFrame * target.b.CFrame:inverse()
print(offset)
-- -34.6450272, -93.4899979, -17.1021347, 0.707106829, -0.707106829, 0, 0, 0, -1, 0.707106829, 0.707106829, 0
target.b.CFrame = target.a.CFrame * offset
Have a look at the link I sent. It will work correctly if you use this;
local offset = a.CFrame:toObjectSpace(b.CFrame)
b.CFrame = a.CFrame * offset
T̶h̶e̶ ̶m̶a̶t̶h̶ ̶t̶h̶a̶t̶ ̶J̶a̶r̶o̶d̶ ̶w̶a̶s̶ ̶t̶a̶l̶k̶i̶n̶g̶ ̶a̶b̶o̶u̶t̶ ̶s̶h̶o̶u̶l̶d̶ ̶b̶e̶ ̶t̶h̶e̶ ̶o̶t̶h̶e̶r̶ ̶w̶a̶y̶ ̶a̶r̶o̶u̶n̶d̶ ̶t̶o̶ ̶w̶o̶r̶k̶ ̶p̶r̶o̶p̶e̶r̶l̶y̶,̶ ̶i̶.̶e̶.̶;̶
I was totally wrong, his math was right
You can plug that back into your script and it should get you what you’re after, though I’d recommend the first method I suggested (toObjectSpace) as it’s an explicit operation as opposed to math (which isn’t as easily recognizable)
What do you mean about applying rotations? You can transform your part by some rotation as you could normally with any other CFrame, i.e.
b.CFrame = a.CFrame * offset * CFrame.Angles(0,0,math.pi/4)
When I first tried to figure it out, I got it to snap back in place but what would happen is the part would get put into a 0,0,0 rotation. So in case I needed parts to stay rotated the way they are at all time (for example with doors that recalculate all offsets of its parts relative to an anchor point) I had to find a way to keep their rotations intact.
CFrame:toObjectSpace() is working flawlessly. Thank you very much! Are there any other tricks with CFrames that are worth noting down?
Glad you got it working! Sorry I edited that post like 5 times in the last 15 minutes lol
There’s so much involved with CFrames that it’s hard to pick any few things to remember in particular - I’d just recommend keeping the wiki page handy and having a read over the quick reference table if there’s something in particular you’re after. The more you use them the more familiar you’ll get.
If you do want to read up a bit more there’s a lot of good mathy articles to go through on the wiki, though fair warning they do get fairly involved. This one is a good place to start if you’re interested 
Thank you very much 