What "strength" actually means in concrete.
Concrete is rated by its compressive strength at 28 days — the pressure it can carry before crushing, measured after a 28-day cure under standard conditions. Higher strength means denser concrete, more cement per unit volume, and better resistance to wear, weather, and structural load.
The number comes from a lab test: a concrete cylinder or cube cured for 28 days is loaded in a hydraulic press until it fails. The recorded failure load divided by the specimen cross-sectional area is the compressive strength.
So a 3,000 psi mix is roughly 20 MPa. 4,000 psi is 28 MPa. 5,000 psi is 35 MPa. These are the conversions you'll see most often in residential and light-commercial work; structural and high-strength mixes go higher but the conversion rule is the same.
A UK mix written as C25/30 means 25 MPa cylinder strength and 30 MPa cube strength. Cubes test slightly stronger than cylinders because of how they fracture; the EU standardised on cylinder values for design and cube values for site testing. When converting to PSI, use the cylinder number — it matches what US ACI design assumes.