Temperature scales: Celsius, Fahrenheit, Kelvin and conversions
“100°F” — what does that feel like? Most of the world uses Celsius, but Fahrenheit dominates in the US. This article walks through the scales and their conversions.
The main scales
| Scale | Symbol | Water freeze | Water boil | Absolute zero |
|---|---|---|---|---|
| Celsius | °C | 0°C | 100°C | -273.15°C |
| Fahrenheit | °F | 32°F | 212°F | -459.67°F |
| Kelvin | K | 273.15 K | 373.15 K | 0 K |
| Rankine | °R | 491.67°R | 671.67°R | 0°R |
Celsius — water-anchored
Defined by Anders Celsius (Sweden, 1742):
- 0°C — water freezing point.
- 100°C — water boiling point.
- Linearly divided into 100.
Intuitive and used by almost every country except the US and a few others.
Fahrenheit — body-temperature anchored
Defined by Daniel Fahrenheit (Germany, 1724):
- 0°F — coldest mixture he could make (ice + salt + water).
- 96°F — human body temperature (later refined to 98.6°F).
- 32°F — water freezing (a derived consequence).
- 212°F — water boiling.
He wanted body temperature near 100, but measurement precision left awkward numbers. Used by the US, Caribbean nations, and a handful of others.
Kelvin — absolute scale
Defined by Lord Kelvin (UK, 1848):
- 0 K — absolute zero (no molecular motion).
- Same step size as Celsius.
- No “degree” — just K.
Standard in science and engineering. Physics formulas (ideal gas law, etc.) use Kelvin.
Rankine — Fahrenheit’s absolute scale
William Rankine (UK, 1859):
- 0°R — absolute zero.
- Same step size as Fahrenheit.
- Used in some US engineering, especially thermodynamics.
R = F + 459.67
Conversions
Celsius ↔ Fahrenheit
F = C × 9/5 + 32
C = (F - 32) × 5/9 Examples:
- 25°C → 25 × 1.8 + 32 = 77°F (warm summer day).
- 100°F → (100 − 32) × 5/9 = 37.8°C (close to body temp).
Celsius ↔ Kelvin
K = C + 273.15
C = K - 273.15 Examples:
- 0°C = 273.15 K.
- 25°C = 298.15 K.
- −273.15°C = 0 K (absolute zero).
Fahrenheit ↔ Kelvin
K = (F - 32) × 5/9 + 273.15
F = (K - 273.15) × 9/5 + 32 Direct conversion is uncommon — usually go via Celsius.
Mental-math approximations
Quick “F to C”:
C ≒ (F - 30) / 2 - 70°F → 20°C (actual 21°C).
- 80°F → 25°C (actual 26.7°C).
Less accurate but instant.
Reverse (C to F):
F ≒ C × 2 + 30 - 20°C → 70°F (actual 68°F).
- 25°C → 80°F (actual 77°F).
Why -40 is the same in both
Solve F = C × 1.8 + 32 for F = C:
C = 1.8C + 32
-0.8C = 32
C = -40 -40°C = -40°F. Shows up in materials testing and weather.
Kelvin notation
Kelvin is just K — “degrees Kelvin” and “°K” are wrong:
- Correct —
273.15 K,0 K. - Wrong —
273.15°K,degrees Kelvin.
It’s an absolute scale (with a true zero), not a relative one like Celsius or Fahrenheit. The ”°” was officially dropped in 1967.
Sense of temperature
Celsius:
| Temp | Feel |
|---|---|
| -10°C | deep winter |
| 0°C | freezing |
| 10°C | cold |
| 20°C | comfortable |
| 25°C | warm |
| 30°C | hot |
| 35°C | very hot |
| 40°C | dangerous |
Fahrenheit:
| Temp | Feel |
|---|---|
| 32°F | freezing |
| 50°F | cool |
| 70°F | comfortable |
| 80°F | warm |
| 90°F | hot |
| 100°F | body temp |
Cooking
Oven temperatures:
| Use | Celsius | Fahrenheit | Gas mark |
|---|---|---|---|
| Low / dry | 100°C | 212°F | 1/4 |
| Warm | 150°C | 300°F | 2 |
| Moderate | 180°C | 350°F | 4 |
| Hot | 220°C | 425°F | 7 |
| Very hot | 250°C | 480°F | 9 |
US/UK recipes use Fahrenheit; conversion is common.
Why Fahrenheit looks weird
“Water freezes at 32°F” feels arbitrary because Fahrenheit isn’t anchored to water:
- 0°F — coldest reproducible mixture.
- ~100°F — human body.
It’s anchored to human-scale weather: the 30–100°F range covers most of where people live, and that range is divided into pleasant round numbers. Water just lands wherever.
Country usage
- Celsius (°C) — Japan, Europe, Russia, Latin America, most of Africa, most of Asia.
- Fahrenheit (°F) — US, Liberia, Cayman Islands, Bahamas.
- Both — Canada, UK (official Celsius, colloquial Fahrenheit too).
About 95% of the world uses Celsius.
Summary
- Celsius — water freeze/boil at 0/100, intuitive.
- Fahrenheit — historical, anchored to human comfort range.
- Kelvin — scientific standard, absolute zero at 0.
- Mental approximations get you close.
- -40°C = -40°F (the unique crossover point).
For arbitrary temperature conversion, the temperature converter on this site handles all four scales.