Why temperature needs more than a multiplier
Most unit conversions are a single multiplication: feet to meters is times 0.3048. Temperature is different because the scales do not start at the same place. 0 °C is the freezing point of water and 0 °F is a much colder temperature, so converting needs an addition as well as a multiplication.
Between Celsius and Fahrenheit: °F = °C × 9/5 + 32 and °C = (°F − 32) × 5/9. Water freezes at 0 °C, which is 32 °F, and boils at 100 °C, which is 212 °F, at standard sea level pressure. One Celsius degree is 1.8 Fahrenheit degrees, so a 10 degree rise in Celsius is an 18 degree rise in Fahrenheit.
That last point is the most common mistake. This converter turns a temperature on one scale into the same temperature on another. It is not for converting a temperature change: if it got 10 °C warmer, it got 18 °F warmer, not 50 °F.
The five scales
- Celsius (°C) is used for weather, cooking and body temperature in most of the world. It is defined from the kelvin: 0 °C is exactly 273.15 K.
- Fahrenheit (°F) is used for everyday temperatures in the US and a few other places. Water freezes at 32 °F and boils at 212 °F, 180 degrees apart.
- Kelvin (K) starts at absolute zero. It has the same size of step as Celsius, so K = °C + 273.15. It is written without a degree sign: since 1967 the unit is called the kelvin, not the degree Kelvin.
- Rankine (°R) starts at absolute zero like kelvin but has the same size of step as Fahrenheit. It is used in some US engineering work. 0 °C is 491.67 °R.
- Réaumur (°Ré) puts the freezing and boiling points of water at 0 and 80. It is historical, and turns up in older books and papers.
Landmark temperatures
- Absolute zero: 0 K, -273.15 °C, -459.67 °F. Nothing can be colder.
- Water freezes: 0 °C, 32 °F, 273.15 K.
- Comfortable room: about 20 to 22 °C, which is 68 to 71.6 °F.
- Normal body temperature: about 37 °C, 98.6 °F. Real body temperature varies between people and through the day.
- Water boils: 100 °C, 212 °F, 373.15 K, at standard sea level pressure. It boils at a lower temperature on a mountain.
- -40: the one temperature that is the same in Celsius and Fahrenheit.
For the two most common conversions on their own pages, see Celsius to Fahrenheit and Fahrenheit to Celsius.