Same degree, different zero
The kelvin and the Celsius degree are the same size; the scales differ only in where zero sits. Celsius puts 0 at the freezing point of water, kelvin puts 0 at absolute zero, the point at which molecular motion is minimal. That gap is exactly 273.15, so converting is a subtraction or an addition and nothing else. Kelvin has no degree sign — it is written 300 K, not 300 °K.
Where kelvin shows up
Kelvin is the scientific temperature scale: gas laws, blackbody radiation and thermodynamics all need a true zero, because doubling the temperature only means something when zero really is zero. Colour temperature of light bulbs (2,700 K warm white, 6,500 K daylight) and the surface of the Sun (about 5,772 K) are the two places most people meet it outside a lab. Room temperature is roughly 293–298 K.
Landmarks
Absolute zero is 0 K = −273.15 °C. Liquid nitrogen boils at 77 K (−196 °C). Water freezes at 273.15 K and boils at 373.15 K at sea level. Body temperature is 310.15 K. The Rankine row is the Fahrenheit-sized absolute scale used in some US engineering work: °R = K × 1.8.