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Temperature converter

Convert readings between Celsius, Fahrenheit and Kelvin.

Answer

68 °F

Steps

20 °C = 68 °F

The same temperature on two scales
Ticks: −40° where °C and °F agree, water freezing, body temperature and water boiling.
Two aligned temperature scales: 20 °C on the top scale lines up with 68 °F on the bottom scale.

Watch the explainer

262 seconds · 7 chapters · captions included

0:00 / 4:22A 118 °F afternoon?

Explanation

Three scales, different zero points

Celsius, Fahrenheit and Kelvin place zero in different places, so converting a reading needs an offset as well as a factor. Kelvin starts at absolute zero, the coldest possible temperature.

F = C × 9/5 + 32 and K = C + 273.15

Variables
Creading in degrees Celsius
Freading in degrees Fahrenheit
Kreading in kelvin

0 °C to Fahrenheit

Value0
FromCelsius (°C)
ToFahrenheit (°F)
Result32 °F

0 °C = 32 °F

100 °C to kelvin

Value100
FromCelsius (°C)
ToKelvin (K)
Result373.15 K

100 °C = 373.15 K

−459.67 °F to kelvin

Value-459.67
FromFahrenheit (°F)
ToKelvin (K)
Result0 K

-459.67 °F = 0 K

Diagram of this result

Both scales are drawn over the same range of temperatures. Ticks line up at −40, where Celsius and Fahrenheit agree, at water's freezing point, at body temperature and at water's boiling point; the marker shows the entered reading.

The answer and the steps state both readings with their unit symbols.

Definitions and limits

Absolute zero is exactly 0 K, −273.15 °C and −459.67 °F; readings below it are rejected. Water freezes at 0 °C (32 °F) and boils at 100 °C (212 °F) at sea level. Answers are shown to six significant figures; the calculation keeps every digit.

Common mistakes

A temperature difference converts without the offset: a rise of 10 °C is a rise of 18 °F, not 50 °F. This calculator converts readings. Kelvin is written without a degree sign.

Where do Celsius and Fahrenheit meet?

At −40: −40 °C is exactly −40 °F. Room temperature of 20 °C is 68 °F, and a body temperature of 37 °C is 98.6 °F.

References

NIST SP 811, Guide for the Use of the International System of Units, including its conversion factors: https://www.nist.gov/pml/special-publication-811.