Anchor point conversion

[kittyPGR (KittyPlays)]

how can I change the Anchor point and the position of a GUI such that it will remain in the same position.
Ex
Initial AnchorPoint = 0.5, 0.5
Initial Position = 0.5, 0, 0.5, 0

Final AnchorPoint = 0, 0
Final Position = ??
and the GUI should remain in the same position on the screen

[TenX29]

Assuming the initial anchor point is x_a1, y_a1, final anchor point is x_a2, y_a2 and the initial position is x₁, 0, y₁, 0, you can get the final position’s x and y scale components like this:
x = x₁ + x_a2 - x_a1
y = y₁ + y_a2 - y_a1

This will give you the final position
x, 0, y, 0
which will result in the same absolute position as the original situation when used with the final AnchorPoint x_a2, y_a2.