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Fahrenheit to Celsius Converter

To convert Fahrenheit to Celsius, subtract 32 and multiply by 5/9. 98.6 °F = 37 °C.

Sources: NIST SP 811, BIPM SI Brochure Updated

Result

68 °F = 20 °C

How to convert Fahrenheit to Celsius

°C = (°F − 32) × 5/9

The numbers in the formula are exact. Both scales are defined through the kelvin: a Celsius temperature is the kelvin temperature minus 273.15, and a Fahrenheit degree is 5/9 of a Celsius degree with 32 °F at 0 °C.

Worked example: 98.6 °F

  1. Start with the temperature in Fahrenheit: 98.6 °F.
  2. Subtract 32: 98.6 − 32 = 66.6.
  3. Multiply by 5/9: 66.6 × 5/9 = 37 °C.

Fahrenheit and Celsius side by side

°F°C0102030405060708090100−100102030
Fahrenheit on top, Celsius below, lined up with the exact formula. The line marks the value in the converter. Drawn to proportion, not to actual size.

Fahrenheit to Celsius chart

Degrees Fahrenheit from −40 to 500 converted to degrees Celsius with the exact formula, shown to five significant digits.

Fahrenheit to Celsius, part 1 of 2
°F°C
−40−40
−35−37.222
−30−34.444
−25−31.667
−20−28.889
−15−26.111
−10−23.333
−5−20.556
0−17.778
5−15
10−12.222
15−9.4444
20−6.6667
25−3.8889
30−1.1111
351.6667
404.4444
457.2222
5010
5512.778
6015.556
6518.333
7021.111
7523.889
Fahrenheit to Celsius, part 2 of 2
°F°C
8026.667
8529.444
9032.222
9535
10037.778
10540.556
11043.333
11546.111
12048.889
15065.556
17579.444
20093.333
225107.22
250121.11
275135
300148.89
325162.78
350176.67
375190.56
400204.44
425218.33
450232.22
475246.11
500260

°C = (°F − 32) × 5/9. Factors: NIST SP 811, BIPM SI Brochure. unitcheck.net/temperature/fahrenheit-to-celsius/

Common values

FahrenheitCelsiusWhat it is
−459.67 °F−273.15 °Cabsolute zero
−40 °F−40 °Cthe only temperature where both scales read the same
0 °F−17.7778 °C
32 °F0 °Cfreezing point of water
68 °F20 °C
98.6 °F37 °Cconventional figure for normal body temperature
212 °F100 °Cboiling point of water at standard pressure, to the nearest degree
350 °F176.667 °C
400 °F204.444 °C
450 °F232.222 °C

A degree is not the same size on both scales

A change of 1 °F is a change of 5/9 °C (about 0.556 °C). That is why the formula has two steps: subtracting 32 lines up the freezing points, and multiplying by 5/9 rescales the degrees. For a temperature difference, such as “10 °F warmer than yesterday”, skip the 32 and multiply by 5/9 only: 10 °F warmer is about 5.6 °C warmer.

Going the other way? Use the Celsius to Fahrenheit converter.

Frequently asked questions

What is the formula for Fahrenheit to Celsius?

°C = (°F − 32) × 5/9. In words: subtract 32 and multiply by 5/9. Example: 98.6 °F = 37 °C.

At what temperature are Celsius and Fahrenheit equal?

At −40. Put −40 into either formula and the same number comes out: −40 °C = −40 °F. Above that point the Fahrenheit number is always the larger one.

What is 350 °F in Celsius for an oven?

350 °F is 176.7 °C; the nearest common Celsius oven setting is 180 °C. Likewise 400 °F is 204.4 °C (nearest setting 200 °C) and 425 °F is 218.3 °C (220 °C). The chart on this page covers oven temperatures up to 500 °F.

Is there a quick way to estimate it?

Subtract 30 and halve the result. It is exact at 50 °F and within about 1 °C between 32 and 68 °F, but the error grows as you move away: at 212 °F it says 91 °C instead of 100 °C.

Is the conversion exact?

Yes. The factor 9/5 and the offset 32 are exact by definition, so the only rounding is in the number of decimals you display.

Sources