Conversions

Celsius to Fahrenheit: °C to °F Formula & Examples

Temperature scales have different zero points as well as different step sizes. That is why converting a Celsius temperature to Fahrenheit requires both multiplication and an offset, rather than a single conversion factor.

Worked example · Updated

Temperature conversion diagram: multiply Celsius by nine fifths, then add thirty-two for Fahrenheit.
20 °C = 68 °F. Illustration, not a live result.

Convert 20 °C step by step

Multiply 20 by 9/5 to obtain 36. Add 32, giving 68 °F. For the reverse direction, subtract 32 from Fahrenheit first, then multiply by 5/9. Thus (68 − 32) × 5/9 returns 20 °C.

A temperature change is different

For a change or difference in temperature, do not add 32. A rise of 10 Celsius degrees is a rise of 18 Fahrenheit degrees. The offset is only needed when converting an actual temperature reading.

Celsius to kelvin uses K = °C + 273.15. In ordinary thermodynamic use, a temperature below 0 K is not physically valid. Check the meaning of the reading before using a result.

Convert a reading

Open the converter, enter the reading, choose Celsius and Fahrenheit, and press Convert. The initial example is 20 °C. You can swap the scales to check the reverse calculation.

Numerical conversion does not account for sensor calibration, uncertainty or a safety limit. Those require information about the particular instrument and situation.

Illustrative absolute temperatures
CelsiusFahrenheit
−40 °C−40 °F
0 °C32 °F
20 °C68 °F
37 °C98.6 °F
100 °C212 °F
Check the assumptions. These are educational examples. A conversion or formula does not validate its inputs or replace professional advice. Read the limitations.
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