Fahrenheit Converter

Fahrenheit converter with a target toggle for Celsius, Kelvin, or Rankine.

Convert Target toggle Exact formula
Rate this calculator · 4.5 (2)

Fahrenheit Converter

Toggle target: Celsius, Kelvin, or Rankine · Exact NIST formulas

Instructions — Fahrenheit Converter

1

Type a Fahrenheit value

Enter the Fahrenheit temperature on the left. The target field on the right shows the converted value instantly. Default is 100 °F = 37.78 °C, just below the clinical fever threshold of 38.0 °C.

2

Pick a target unit

The toggle switches the right-hand unit between Celsius, Kelvin, and Rankine. Same input, three different output scales. Kelvin is the SI absolute temperature; Rankine is the absolute version of Fahrenheit used in some US engineering disciplines.

3

Use quick picks

Preset buttons cover the milestones: -40 °F (where F and C agree), 32 °F (water freezes), 68 °F (room), 98.6 °F (classic body temp), 212 °F (water boils at 1 atm), 350 °F (the default baking temperature for cookies and bread).

Mental shortcut (F to C): subtract 30, divide by 2. 72 °F gives (72 - 30)/2 = 21 °C. The exact answer is 22.2 °C - close enough for weather forecasts.
The -40 anomaly: the only point where Fahrenheit and Celsius show the same number is -40. Solve T = 9/5 · T + 32 and you get T = -40 in both scales.

Formulas

All three target scales are linear functions of Fahrenheit. Celsius and Kelvin share the same step size (5/9 of a Fahrenheit degree). Rankine uses the same step as Fahrenheit but starts at absolute zero.

Fahrenheit to Celsius
$$ T_{°C} = (T_{°F} - 32) \times \frac{5}{9} $$
Subtract 32, then multiply by 5/9 (= 0.5556). The order matters. 5/9 is recurring 0.555... so a calculator stores the slope as 0.5555555... to machine precision.
Fahrenheit to Kelvin
$$ T_K = (T_{°F} + 459.67) \times \frac{5}{9} $$
Adds the offset 459.67 (the Fahrenheit value of absolute zero) and applies the same 5/9 slope. Kelvin is the SI base unit for temperature.
Fahrenheit to Rankine
$$ T_{°R} = T_{°F} + 459.67 $$
Rankine uses Fahrenheit step size but starts at absolute zero. 0 °R = absolute zero = -459.67 °F. Common in US thermodynamics and aerospace where Fahrenheit data feeds directly into absolute calculations.
Absolute zero in three scales
$$ 0\,\text{K} = -273.15\,°\text{C} = -459.67\,°\text{F} = 0\,°\text{R} $$
The lowest possible temperature. No system can be cooler. The values are exact by definition of the scales.
Where F and C agree
$$ -40\,°\text{F} = -40\,°\text{C} $$
Set T = 9/5 · T + 32 and solve: T = -40. The only crossover. Fairbanks, Alaska, and northern Siberia hit this temperature most winters.
Reverse: C, K, or R to F
$$ T_{°F} = T_{°C} \times \frac{9}{5} + 32 $$
From Celsius, multiply by 9/5 (= 1.8), add 32. From Kelvin: (K · 9/5) - 459.67. From Rankine: subtract 459.67. The bidirectional converter handles all of this automatically.

Reference

Common Fahrenheit Temperatures
Context°F°CK°R
Absolute zero-459.67-273.1500
Liquid nitrogen boils-320-195.877.4139.7
Dry ice sublimes-109-78.5194.7350.7
F = C crossover-40-40233.15419.67
Fahrenheit zero0-17.78255.37459.67
Water freezes320273.15491.67
Cold day5010283.15509.67
Room temperature6820293.15527.67
Body (classic)98.637.0310.15558.27
Fever threshold100.438.0311.15560.07
Hot summer day10440313.15563.67
Water boils (1 atm)212100373.15671.67
Cookie oven350177450809.67
Pizza oven450232505909.67

Weather quick chart

Every 10 °F across the lived-temperature range, with the Celsius equivalent and a feel description.

Cold range
°F°CFeel
0-17.8Bitter
10-12.2Very cold
20-6.7Freezing
30-1.1Frost
404.4Cool
5010.0Light jacket
Warm range
°F°CFeel
6015.6Pleasant
7021.1Comfortable
8026.7Warm
9032.2Hot
10037.8Sweltering
11043.3Dangerous

Note: the classic 98.6 °F body temperature comes from Carl Wunderlich (1868). A 2020 Stanford Medicine reanalysis of 677,423 measurements showed the modern adult average is closer to 97.9 °F (36.6 °C). Human body temperature has dropped about 0.05 °F per decade since 1860.

Article — Fahrenheit Converter

Fahrenheit Converter: One Input, Three Target Scales

Fahrenheit is the temperature scale where pure water freezes at 32 °F and boils at 212 °F at one atmosphere of pressure. Daniel Gabriel Fahrenheit fixed it in 1724 by anchoring 0 °F to a salt-ice brine and 96 °F to body temperature. The 180-degree gap between freezing and boiling is finer than the 100-degree Celsius interval, giving each Fahrenheit degree a step size of 5/9 of a Celsius degree. The converter above takes any Fahrenheit value and shows it in your choice of Celsius, Kelvin, or Rankine.

The toggle changes only the target scale. The input field is always Fahrenheit, the output is your selection, and both fields are editable so you can type in either direction. The math uses the NIST conversion formulas verbatim, with no rounding shortcuts.

What is the Fahrenheit scale

Fahrenheit is one of three temperature scales in common use today, alongside Celsius and Kelvin. It is the everyday scale in the United States, US territories, the Bahamas, the Cayman Islands, and Palau. Everywhere else, weather forecasts and home cooking use Celsius, and scientific work uses Kelvin.

The scale dates to 1724 when Daniel Gabriel Fahrenheit, a Polish-German physicist and instrument maker working in the Netherlands, published the standardized version. His three anchor points were the freezing point of a salt-ice brine (0 °F), the freezing point of pure water (32 °F), and human body temperature (originally 96 °F, later refined to 98.6 °F). The 32 to 212 freezing-to-boiling span gives the scale 180 degrees in that interval, exactly 1.8 times the Celsius equivalent.

Did you know

Fahrenheit invented the mercury-in-glass thermometer in 1714. His scale was the international standard for temperature measurement throughout the 18th and 19th centuries. The metric system displaced it in continental Europe in the 1790s, and in the UK gradually through the 20th century, but it stuck in the US where the Metric Conversion Act of 1975 made metric use voluntary rather than mandatory.

Fahrenheit to Celsius conversion

To convert Fahrenheit to Celsius, subtract 32 and multiply by 5/9. The formula is T_C = (T_F - 32) * 5/9. The order matters; multiplying first gives the wrong answer. The 5/9 factor is exact as a fraction but produces the recurring decimal 0.5555... which calculators store to full machine precision.

The mental shortcut for weather temperatures is to subtract 30 and divide by 2. A 72 °F day gives (72 - 30)/2 = 21 °C; the exact answer is 22.2 °C. The approximation drifts by 1 to 3 degrees across the weather range, which is good enough for deciding between shorts and a sweater.

Fahrenheit to Celsius (exact)
0 °F = -17.78 °C
32 °F = 0 °C (freezing)
68 °F = 20 °C (room)
98.6 °F = 37 °C (body)
212 °F = 100 °C (boil)
350 °F = 176.67 °C (oven)

Fahrenheit to Kelvin conversion

Kelvin is the SI base unit for thermodynamic temperature. It uses the same step size as Celsius but its zero is absolute zero, the lowest possible temperature, where all molecular motion stops. The Fahrenheit-to-Kelvin formula is T_K = (T_F + 459.67) * 5/9. The 459.67 offset is the Fahrenheit value of absolute zero.

Kelvin matters for any thermodynamic calculation: heat engines, gas laws, blackbody radiation, semiconductor physics. If you are using Fahrenheit data in any equation that needs an absolute temperature, you must convert before the equation runs. Plugging Fahrenheit straight into PV = nRT gives wildly wrong numbers because the formula assumes the temperature is measured from absolute zero.

Never use Fahrenheit or Celsius in absolute thermodynamic equations

Gas laws, Stefan-Boltzmann radiation, Carnot efficiency, and most physics formulas require absolute temperature. Converting Fahrenheit to Kelvin (or to Rankine if you stay in US engineering units) is mandatory before substituting into the formula. A 100 °F input plugged into PV = nRT gives an answer off by orders of magnitude.

Fahrenheit to Rankine: the absolute twin

Rankine is to Fahrenheit what Kelvin is to Celsius: same step size, but starting at absolute zero. The conversion is T_R = T_F + 459.67. No multiplier; just an additive offset. Used in US thermodynamics, aerospace, and chemical engineering where Fahrenheit data feeds directly into equations that need an absolute scale.

Rankine is the only one of the three target scales where the step size equals Fahrenheit. That makes it the natural choice for US engineers who want to keep Fahrenheit-style numerical magnitudes while still being able to plug values into thermodynamic equations. 0 °R = absolute zero; room temperature (68 °F) becomes 527.67 °R; the boiling point of water is 671.67 °R.

Tip

The three absolute scales line up at exactly one point: absolute zero. 0 K = 0 °R = -273.15 °C = -459.67 °F. Above that, Kelvin and Celsius share step size; Rankine and Fahrenheit share step size; the two pairs differ by 1.8.

Why the US still uses Fahrenheit

The United States inherited Fahrenheit from Britain during the 1700s. By the time the metric system spread through Europe in the 1790s, American industry and weather reporting had already standardized on Fahrenheit. The Metric Conversion Act of 1975 declared metric the preferred system but made the switch voluntary. Industry never followed through outside of science and federal procurement.

British weather reports switched to Celsius officially in 1962, but tabloid headlines still report summer heat in Fahrenheit because the numbers sound more dramatic. A 95 °F headline sells papers; a 35 °C one does not. The same psychology keeps Fahrenheit in some specialist UK contexts: oven dials sold to the home market, swimming-pool brochures, and aviation cockpit temperature gauges in older aircraft.

Fahrenheit values you actually use

Most Fahrenheit values that matter for daily life cluster in three ranges: weather (0 to 110 °F), body temperature (95 to 105 °F), and cooking (200 to 500 °F). The converter handles all three by toggling the target scale. For weather, pair Fahrenheit with Celsius. For medical readings, pair with Celsius. For cooking, pair with Celsius. For physics homework, pair with Kelvin or Rankine.

Body temperature shifted in the medical reference literature in 2020. A Stanford Medicine reanalysis of 677,423 measurements showed the modern adult average is 97.9 °F (36.6 °C), about 0.7 °F below the classic 98.6 °F figure from Carl Wunderlich (1868). Human body temperature has been dropping at about 0.05 °F per decade since 1860, likely from lower background inflammation thanks to better nutrition and antibiotics.

  • -40 °F = -40 °C (the crossover, Siberia winter)
  • 32 °F = 0 °C (water freezes)
  • 68 °F = 20 °C (room temperature)
  • 98.6 °F = 37 °C (textbook body temp)
  • 100.4 °F = 38 °C (fever threshold)
  • 212 °F = 100 °C (water boils, sea level)
  • 350 °F = 177 °C (cookie oven)
  • 450 °F = 232 °C (pizza oven)

Common Fahrenheit conversion mistakes

Three errors come up repeatedly. The first is order-of-operations: multiplying by 5/9 before subtracting 32 gives the wrong answer. The correct order for Fahrenheit-to-Celsius is subtract first, then multiply. A 100 °F input wrongly multiplied first becomes 55.56 - 32 = 23.56 °C; the right answer is 37.78 °C.

The second is conflating Celsius and Centigrade. They are the same scale; Centigrade is the older name. Both anchor to water freezing at 0 and boiling at 100. The official 1948 redefinition fixed the name as Celsius after the Swedish astronomer Anders Celsius.

The third is the oven dial mistake: setting an oven to 350 °C while reading a recipe that meant 350 °F. The actual setting then hits 662 °F, hot enough to ignite cooking oil. Modern dual-scale oven dials reduce this error but older single-scale dials sold in the US display only Fahrenheit, and European travellers sometimes misread them.

FAQ

Subtract 32, then multiply by 5/9. Formula: °C = (°F - 32) × 5/9. Example: 72 °F = (72 - 32) × 5/9 = 22.2 °C. The order matters; multiplying first gives the wrong answer.
100 °F = 37.78 °C. That is just under the clinical fever threshold of 38.0 °C (100.4 °F). On the same input, the converter above gives 310.93 K and 559.67 °R if you switch the target toggle.
32 °F = 0 °C = 273.15 K. This is the freezing point of pure water at one atmosphere of pressure. The 273.15 K value is exact by definition of the Celsius scale relative to Kelvin.
At -40 degrees. The two scales cross at exactly one point: -40 °F = -40 °C. Solve the equation T = 9/5 × T + 32 and the algebra gives T = -40. Northern Alaska and Siberia hit this temperature most winters.
0 K = -459.67 °F = -273.15 °C = 0 °R. Absolute zero is the lowest possible temperature, where all thermal motion stops. The Fahrenheit and Celsius values are exact by definition of the scales relative to Kelvin.
The US inherited Fahrenheit from Britain in the 1700s. The Metric Conversion Act of 1975 made metric use voluntary, and the transition never finished. American scientific work uses Celsius and Kelvin; weather, home cooking, and medicine still report in Fahrenheit. The UK switched in the 1960s but tabloid headlines still report summer heat in Fahrenheit because the numbers sound more dramatic.
Rankine (°R) is the Fahrenheit-step absolute scale: 0 °R = absolute zero, same step size as °F. Used in US thermodynamics, aerospace, and some chemical engineering, especially where Fahrenheit input data feeds directly into thermodynamic equations that need an absolute scale. The conversion is just T_R = T_F + 459.67.
350 °F = 176.67 °C, usually rounded to 175 or 180 °C in European recipes. This is the standard temperature for cookies, cakes, banana bread, and casseroles. A common dangerous mistake is setting an oven to 350 °C thinking the recipe meant 350 °F - the oven hits 662 °F, hot enough to start a fire.