Remove the old strapping with a sharp knife and clean the excess strapping out of the 1-inch grooves on the frame of the chair.
Apply a thin layer of petroleum jelly over the holes where the strapping is intended to fit. Use about a dime-sized bead on the strap slots on the aluminum frame of the chair. The lubrication will make it easier to install the replacement strapping.
When holding the strap, you will notice a little tab cut into each end of the vinyl. Use the screwdriver to push the tab of the strapping into the gap on the chair frame. Wrap the strapping over the chair frame. Apply petroleum jelly to the hole on the other side of the frame, and use the screwdriver to push the second tab into place.