Strain, and the price of it
Strain first. — epsilon equals delta over L. (delta) is the change in length, how much the specimen grew under load; is the original gauge length, the marked span the instrument watches; is the strain, the growth per unit of original length. Both lengths must be in the SAME unit before you divide — that is the entire difficulty of this formula, and it catches somebody every year.
Then the price. — E equals sigma over epsilon — is Young's modulus: the stress it takes to buy one unit of strain. is the stress in the specimen, the strain it produced, the material's stiffness. Steel lands near 200 GPa, aluminium near 70, copper near 110 — and those numbers belong to the ALLOY, never to your particular bar. A thicker bar is stronger; it is not stiffer per unit of stress.
Because strain is a bare ratio, comes back wearing the stress's own unit. Feed it megapascals and megapascals come out; the gigapascal on the datasheet is one division by a thousand away, never a different quantity.