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Science & Math

Temperature Converter

Convert temperatures between Celsius, Fahrenheit, and Kelvin instantly. Enter a value, choose the units, and get an accurate result with a worked example.

By CalculatorPlanet Editorial Team

Last updated

Converted temperature
212.00°
How it works

How the Temperature Converter Formula Works

Every temperature is converted through Celsius as a common reference point, then out to whichever unit you asked for. Going from Fahrenheit, that means subtracting 32 and multiplying by five-ninths to land on Celsius, then, if Kelvin is the target, adding 273.15. Going from Celsius to Fahrenheit runs the same steps in reverse: multiply by nine-fifths, then add 32.

Kelvin and Celsius only ever differ by that fixed 273.15 offset, since a change of one degree is identical in size on both scales; Fahrenheit is the odd one out because its degrees are smaller, nine of them spanning the same range as five Celsius degrees.

One boundary matters more than any other: nothing can go colder than absolute zero, 0 K, which is -273.15°C and -459.67°F. A value that converts to anything below that isn't a valid physical temperature, and this calculator rejects it rather than silently returning a negative Kelvin reading that doesn't correspond to anything real.

result = fromUnit(value) -> celsius -> toUnit
What goes in, what comes out
  • valuedegreesThe temperature you're starting from, in whichever unit you select below.
  • fromunitThe unit the value is currently in: Celsius, Fahrenheit, or Kelvin.
  • tounitThe unit you want the result converted to.
Converted temperature
212
result = fromUnit(value) -> celsius -> toUnit
Values shown are from the worked example below
value
degrees
The temperature you're starting from, in whichever unit you select below.
from
unit
The unit the value is currently in: Celsius, Fahrenheit, or Kelvin.
to
unit
The unit you want the result converted to.
Step by step

Using the Temperature Converter

  1. Enter temperature

    Type the figure you already have — the result updates as you type.

  2. Enter from

    Choose from Celsius (°C), Fahrenheit (°F), Kelvin (K).

  3. Enter to

    Choose from Celsius (°C), Fahrenheit (°F), Kelvin (K).

  4. Read the result

    The figure updates live as you type, so there is nothing to submit. Press Calculate if you want the answer brought into view — useful on a phone, where the keyboard covers the result panel.

Photograph representing science & math
Science & Math — where this calculation gets used.
Worked example

A Real Worked Example

100 degrees Celsius is the boiling point of water at sea level. Multiplying by nine-fifths gives 180, and adding 32 gives 212 degrees Fahrenheit — the same physical temperature, just measured on a scale with smaller degrees and a different zero point.

A few other fixed points are worth knowing because they come up constantly and make good sanity checks on any conversion this tool returns. Water freezes at 0°C, which is 32°F. Average human body temperature, 37°C, converts to 98.6°F: 37 times nine-fifths is 66.6, plus 32 is 98.6. And absolute zero, the coldest temperature physically possible, is -273.15°C, which works out to -459.67°F and, by definition, exactly 0 K.

There's also one temperature where Celsius and Fahrenheit agree: -40 degrees reads the same on both scales. Plugging -40 into the formula confirms it: -40 times nine-fifths is -72, plus 32 is -40. It's the only point where the two scales cross, and it's a quick way to check that a conversion tool is using the right formula rather than an approximation.

1
value
100
2
from
celsius
3
to
fahrenheit
This calculator returns212result
Going deeper

What Else to Know

The Strange History Behind Three Different Scales

Daniel Gabriel Fahrenheit built his scale in 1724 while working as an instrument maker in the Dutch Republic, and both of its reference points came from what he could reliably reproduce on a lab bench rather than anything universal.

He set zero at the coldest temperature he could stabilize using a mixture of ice, water, and ammonium chloride salt, a combination that holds steady rather than drifting as it melts.

For his upper reference, he used roughly human body temperature, landing on 96 degrees, a number divisible by 2, 3, 4, 6, 8, and 12, which made the scale easy to subdivide with the equipment of the time.

Water's freezing and boiling points fell out at 32°F and 212°F almost incidentally, and body temperature was later remeasured more precisely as 98.6°F, leaving the round 96 behind. The British Royal Society adopted Fahrenheit's scale, and it spread through the British Empire, including its American colonies, well before any serious rival existed.

Anders Celsius proposed his scale in 1742, based on the more intuitive idea of a full 100-degree span between water's freezing and boiling points. Oddly, he had it backward: his original scale put 0 at boiling and 100 at freezing, on the reasoning that everyday temperatures in Sweden would then rarely dip below zero.

Other scientists and instrument makers, including the botanist Carl Linnaeus, flipped it to the familiar orientation within a few years, and by the early 1800s the modern 0-at-freezing, 100-at-boiling version had become the European standard, later renamed Celsius in 1948 in his honor.

Kelvin came more than a century later and solved a different problem entirely: neither Celsius nor Fahrenheit had a zero point tied to anything physical, so both allow negative readings that don't mean anything is genuinely below zero energy.

In 1848, the physicist William Thomson, later Lord Kelvin, proposed a scale anchored to absolute zero, the temperature at which molecular motion theoretically stops, which he calculated at close to -273°C, remarkably near the modern value of -273.15°C.

Because the kelvin uses the same degree size as Celsius, converting between them is nothing more than adding or subtracting that fixed 273.15 offset, and there's never a negative reading to worry about, since 0 K is by definition the coldest anything can get.

Converting in Your Head: The Real Shortcut and Its Error Margin

The formula this calculator uses, multiply by nine-fifths and add 32, isn't the easiest thing to run in your head, so a shortcut has been in common use for a long time: double the Celsius value and add 30.

It works because 2 is close to the real multiplier of 1.8, and 30 is close to the real offset of 32, so the two small errors mostly cancel out over ordinary weather-range temperatures. Twenty degrees Celsius doubles to 40, plus 30 is 70°F; the real answer is 68°F, a two-degree miss that's close enough for deciding what to wear.

The shortcut isn't uniformly accurate, though, and knowing where it drifts is what makes it actually useful rather than just approximately right by luck. It's exact at exactly one point, 10°C, which converts to precisely 50°F under both the shortcut and the real formula.

Moving away from that point in either direction, the error grows by about 1°F for every 5°C of distance, because the gap between the shortcut's rough constants (2 and 30) and the real ones (1.8 and 32) scales with the input. At 30°C, ten degrees above the exact point, the shortcut is off by about 2°F.

At -20°C, the shortcut gives -10°F where the real answer is -4°F, a 6-degree miss.

For everyday outdoor temperatures, roughly 0°C to 35°C, that keeps the error within about 5°F, which is why the trick holds up for weather and room temperature but starts to noticeably diverge for oven temperatures, industrial processes, or anything near the scale's extremes — situations where reaching for an exact conversion, like the one above, actually matters.

Going the other direction, from Fahrenheit to Celsius, the same shortcut runs in reverse: subtract 30, then divide by 2. It carries the identical error pattern, exact at 50°F and drifting by roughly the same margin the farther the value sits from that point.

Why Kelvin Matters in Science (and Never Shows Up on the Weather Report)

Kelvin is the SI base unit for temperature, the one that appears in scientific equations rather than everyday conversation, and that's a direct consequence of it being an absolute scale rather than an arbitrary one.

Gas laws, thermodynamics, and blackbody radiation calculations all depend on temperature being proportional to the actual thermal energy present, which only works if zero on the scale genuinely means zero energy.

Plugging a Celsius or Fahrenheit value into a formula like the ideal gas law produces nonsense, since neither scale's zero corresponds to zero molecular motion; Kelvin's zero does, by construction, which is exactly the gap Lord Kelvin's 1848 proposal was built to close.

That's also why nothing in the physical universe reads a negative number on the Kelvin scale under normal circumstances: 0 K is the coldest anything can theoretically be, so every legitimate physical temperature is zero or higher. Astronomers report the temperature of interstellar space, roughly 2.7 K, left over as cosmic microwave background radiation from the early universe.

Photographers and lighting designers describe the color of light in kelvins too, unrelated to how hot the fixture actually runs.

It's a separate physical phenomenon, black-body radiation, where an object's emitted light color is fully determined by its temperature; a candle flame's warm glow corresponds to roughly 1,900 K, while overcast daylight sits closer to 6,500 K, and higher kelvin numbers correspond to cooler, bluer light, which is the opposite of what the word 'warm' would suggest and trips people up the first time they shop for light bulbs by color temperature.

Oven Temperatures, and the Two Scales This Tool Leaves Out

The conversion people actually look up most often outside of weather and body temperature is an oven dial: a recipe written in one country's scale against an oven that reads in the other. 325°F works out to about 163°C, 350°F to 177°C, 375°F to 191°C, 400°F to 204°C, and 425°F to 218°C, with 450°F landing near 232°C for a hot roast or pizza stone. None of these are round numbers on both sides at once, which is exactly why recipe cards get it wrong often enough that it's worth checking rather than assuming a tidy 350°F equals 180°C — it's closer to 177°C, and the extra few degrees rarely matter for baking but can matter for candy- or bread-making, where a thermometer reading a decimal off from the recipe's real target changes the result.

This calculator deliberately covers three scales, Celsius, Fahrenheit, and Kelvin, since between them they handle essentially every weather, cooking, medical, and scientific conversion a person runs into. Two other scales exist and still show up occasionally: Rankine, an absolute scale built on Fahrenheit-sized degrees that some U.S. engineering and aerospace thermodynamics work still uses instead of Kelvin, and Réaumur, a largely retired scale from 18th-century France that a handful of European culinary and dairy traditions kept using long after Celsius took over elsewhere. Neither gets enough real everyday use to justify diluting this tool's focus, but the formulas are short enough to do by hand if one comes up: add 459.67 to a Fahrenheit value to get Rankine, or multiply a Celsius value by 0.8 to get Réaumur.

Questions

Frequently Asked Questions About the Temperature Converter

How do I convert Celsius to Fahrenheit?

Multiply the Celsius temperature by nine-fifths and add 32. Twenty degrees Celsius becomes 68 degrees Fahrenheit: 20 times nine-fifths is 36, plus 32 equals 68. This calculator handles that instantly, along with Kelvin, so there's no need to memorize the formula or reach for a separate reference every time.

How do I convert Fahrenheit to Celsius?

Subtract 32 from the Fahrenheit temperature, then multiply by five-ninths. 68 degrees Fahrenheit becomes 20 degrees Celsius: 68 minus 32 is 36, times five-ninths is 20. It's the same formula used to go the other direction, just rearranged and run in reverse order.

What is absolute zero?

Absolute zero is the coldest temperature theoretically possible, the point at which molecular motion stops entirely. It equals 0 K, -273.15°C, and -459.67°F. It's a real physical limit, not just a convenient starting point for the Kelvin scale, which is why this calculator rejects any conversion that would land below it as physically invalid rather than returning a meaningless negative Kelvin reading.

Why does the US still use Fahrenheit?

Fahrenheit arrived first, spreading through the British Empire in the 1700s before Celsius existed, and it was already deeply embedded in American life, cookbooks, building codes, thermostats, weather reports, by the time metrication became a serious policy conversation. The Metric Conversion Act of 1975 made the metric system the country's preferred standard but explicitly kept conversion voluntary, so Fahrenheit simply never got displaced.

How can I convert temperatures without a calculator?

Double the Celsius value and add 30 for a quick Fahrenheit estimate; subtract 30 and halve a Fahrenheit value to estimate Celsius. The shortcut is exact at 10°C/50°F and drifts by roughly 1°F for every 5°C away from that point, staying within about 5°F for ordinary weather-range temperatures, though it loses accuracy at temperature extremes like oven heat or deep cold.

Was the Celsius scale always 0 at freezing and 100 at boiling?

No. Anders Celsius's original 1742 scale was reversed, with 0 representing boiling and 100 representing freezing, reportedly so everyday Swedish temperatures would rarely go negative. Other scientists, including botanist Carl Linnaeus, flipped it to the familiar orientation within a few years, and the inverted version had become the European standard by the early 1800s.

What is 0 Kelvin in Celsius and Fahrenheit?

0 K equals -273.15°C and -459.67°F. This is absolute zero, the coldest temperature physically possible, and it's the fixed reference point the Kelvin scale is built around rather than an arbitrary number like the freezing or boiling points other scales use.

Can Kelvin ever be negative?

Not under any normal physical circumstance. Kelvin is an absolute scale where 0 K represents the total absence of thermal motion, the coldest anything can theoretically be, so every ordinary physical temperature reads zero or higher. That's the entire reason Lord Kelvin proposed the scale in 1848: to give science a zero point that means something physically, unlike the arbitrary zeros of Celsius and Fahrenheit.

Is there a temperature where Celsius and Fahrenheit are equal?

Yes, -40 degrees. Plug -40 into the formula and it holds on both scales: -40 times nine-fifths is -72, plus 32 is -40. It's the only point where the two scales cross, and a handy way to check that a temperature conversion is using the exact formula rather than a rough shortcut.

Why do scientists use Kelvin instead of Celsius?

Because Kelvin's zero corresponds to zero thermal energy, formulas in thermodynamics and gas laws only produce meaningful results when temperature is measured on an absolute scale. Celsius and Fahrenheit both have arbitrary zero points unrelated to actual molecular motion, so plugging either into those equations directly would produce physically meaningless results.

Does this converter also do Rankine or Réaumur?

No — this tool covers Celsius, Fahrenheit, and Kelvin, the three scales that between them handle nearly every weather, cooking, medical, and scientific conversion. Rankine (an absolute scale built on Fahrenheit-sized degrees, still used in some U.S. engineering and aerospace thermodynamics) and Réaumur (a largely retired 18th-century French scale that survives in a few European culinary traditions) come up rarely enough that depth on the three main scales serves readers better than spreading coverage across five. If you need one: add 459.67 to a Fahrenheit value for Rankine, or multiply a Celsius value by 0.8 for Réaumur.

What does a 1°C change equal in Fahrenheit?

A 1°C change equals a 1.8°F change, which is different from converting a single absolute reading. Converting a specific temperature, like turning 20°C into a Fahrenheit reading, needs both the multiplication and the plus-32 offset. But tracking a change or difference between two temperatures only needs the multiplication step, since the offset is the same on both ends and cancels out. That's why a 5-degree Celsius rise is a 9-degree Fahrenheit rise, not a 41-degree one — multiply the change by nine-fifths, and stop there.

Is 100°F the same as 40°C?

No, that's a common mix-up between two round numbers that don't actually line up. 100°F converts to about 37.78°C: subtract 32 to get 68, then multiply by five-ninths. 40°C, on the other hand, converts to 104°F: 40 times nine-fifths is 72, plus 32 is 104. The two round numbers are close enough on their own scales to feel interchangeable, but they sit about four Fahrenheit degrees apart, which matters for anything more precise than a rough weather estimate.

References

  1. [1] American Physical Society. “May 24, 1686: Daniel Gabriel Fahrenheit and the Birth of Precision Thermometry.” APS News. Accessed 2026-08-23.
  2. [2] Linda Hall Library. “Anders Celsius - Scientist of the Day.” The Linda Hall Library. Accessed 2026-08-23.
  3. [3] NIST. “How Low Can Temperature Go? Lord Kelvin and the Science of Absolute Zero.” NIST. Accessed 2026-08-23.
  4. [4] NIST. “U.S. Metrication Frequently Asked Questions (FAQs).” NIST. Accessed 2026-08-23.
  5. [5] Evan Hahn. “A mental math heuristic to convert between Fahrenheit and Celsius.” evanhahn.com. Accessed 2026-08-23.