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CALCPARK

Temperature Converter

Convert between °C, °F, K and °R with the formula shown step by step (°F = °C × 9/5 + 32), a reference table from −40 to 250 °C and an absolute-zero check.

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How to use it

  1. Type the temperature – negative values and decimals are accepted.
  2. Choose the scale you have under From and the one you want under To; Swap scales reverses them.
  3. The headline shows the converted value with the formula and the numbers filled in; the rows below give all four scales at once.
  4. Use the reference chips (−40 °C, 37 °C, 98.6 °F, 350 °F, 0 K …) to check a familiar value, and copy the result or the link.

Example

Convert 100 °C to Fahrenheit: 100 × 9/5 = 180, plus 32 = 212 °F. In kelvin it is 100 + 273.15 = 373.15 K, and in Rankine 373.15 × 9/5 = 671.67 °R. The other way, a recipe at 350 °F is (350 − 32) × 5/9 = 176.67 °C, so set a metric oven to 175–180 °C.

Formulas

°F = °C × 9/5 + 32          °C = (°F − 32) × 5/9
K  = °C + 273.15            °C = K − 273.15
K  = (°F + 459.67) × 5/9    °F = K × 9/5 − 459.67
°R = °F + 459.67            °R = K × 9/5
°R = (°C + 273.15) × 9/5    °C = (°R − 491.67) × 5/9

The kelvin is the SI base unit of thermodynamic temperature; since the 2019 SI revision it is fixed through the Boltzmann constant, and the Celsius scale is defined by 0 °C = 273.15 K with degrees of the same size. The Fahrenheit degree is exactly 5/9 of a kelvin, with 32 °F at 0 °C and 212 °F at 100 °C. Rankine, used in some US engineering work, is the absolute scale with Fahrenheit-sized degrees. Readings below absolute zero are flagged but still computed, because the same arithmetic applies to temperature differences (a change of 18 °F is a change of 10 °C – the +32 offset does not apply to differences).

Reference table

°C°FKNote
-40-40233.15where °C and °F coincide
-30-22243.15
-20-4253.15
-18-0.4255.15typical freezer
-1014263.15
032273.15water freezes
439.2277.15typical fridge
1050283.15
2068293.15room temperature
2577298.15
3086303.15hot summer day
3798.6310.15body temperature
40104313.15
50122323.15
60140333.15
70158343.15
80176353.15
90194363.15
100212373.15water boils at sea level
150302423.15
180356453.15common oven setting
200392473.15
250482523.15

Sources: BIPM – The International System of Units (SI brochure, 9th edition), section 2.3.1 kelvin, NIST – SI Units: Temperature.

Body temperature and fever

98.6 °F is the 19th-century average that became the textbook “normal” (37 °C); modern measurements put the average nearer 36.6 °C (97.9 °F), and normal readings range from about 36.1 to 37.2 °C (97 to 99 °F). 38 °C (100.4 °F) is the common threshold for a fever.

Questions

What is the fastest way to convert Celsius to Fahrenheit in my head?
Double the Celsius value and add 30. 25 °C → 50 + 30 = 80 °F (exact: 77 °F). For a better answer, double it, subtract a tenth of that, then add 32: 25 → 50 − 5 + 32 = 77 °F.
Is there a temperature where Celsius and Fahrenheit are the same?
Yes, −40. Setting C = C × 9/5 + 32 gives C = −40, so −40 °C = −40 °F. On the Kelvin and Celsius scales no such point exists; they differ by 273.15 everywhere.
Why does Kelvin have no degree sign?
Since 1967 the SI unit is simply the kelvin (symbol K), not the “degree Kelvin”, because it is an absolute unit counted from absolute zero rather than a scale with an arbitrary zero. Write 300 K, not 300 °K.
What is 350 °F in Celsius for baking?
(350 − 32) × 5/9 = 176.7 °C. Most ovens are set in 5–10 degree steps, so use 175 or 180 °C; 400 °F is about 200 °C and 450 °F about 230 °C.