Jump on the boxes, then jump off in order to block the lasers. After jumping past the last buzzsaw on the right where the laser was initially hitting, hit
to flip onto the platform that held the storage location.
Now for the tricky part: you need to jump back between the boxes, using
to slow your descent and land safely at the exit door. This takes a bit of practice to get down, but the idea is to jump towards the first box by the exit door, flip, move towards the second box, flip, then flip again as soon as you can to land by the door.
As mentioned in the achievement, you only need to get to the location, you don't need to pick up the storage device and do this on the first run.