About Temperature Converter
This tool does temperature conversion between Celsius, Fahrenheit, Kelvin and Rankine in any direction. Type a reading, choose From and To, and it returns the answer, the formula for that pair (for example °F = °C × 9/5 + 32) and a table showing the same temperature on all four scales. So 20 °C gives 68 °F, 293.15 K and 527.67 °R in one go. Unlike length or weight, temperature scales do not share a zero point, so most conversions need an offset as well as a multiplier. The offset is easy to drop when working by hand, which is why the formula is displayed each time.
Temperature conversion formulas for all 12 pairs
These are the formulas the tool applies and displays. The last column is what each one gives for an input of 100, rounded to two decimal places.
| From | To | Formula | 100 becomes |
|---|---|---|---|
| Celsius | Fahrenheit | °F = °C × 9/5 + 32 | 212 °F |
| Celsius | Kelvin | K = °C + 273.15 | 373.15 K |
| Celsius | Rankine | °R = (°C + 273.15) × 9/5 | 671.67 °R |
| Fahrenheit | Celsius | °C = (°F − 32) × 5/9 | 37.78 °C |
| Fahrenheit | Kelvin | K = (°F − 32) × 5/9 + 273.15 | 310.93 K |
| Fahrenheit | Rankine | °R = °F + 459.67 | 559.67 °R |
| Kelvin | Celsius | °C = K − 273.15 | -173.15 °C |
| Kelvin | Fahrenheit | °F = (K − 273.15) × 9/5 + 32 | -279.67 °F |
| Kelvin | Rankine | °R = K × 9/5 | 180 °R |
| Rankine | Celsius | °C = (°R − 491.67) × 5/9 | -217.59 °C |
| Rankine | Fahrenheit | °F = °R − 459.67 | -359.67 °F |
| Rankine | Kelvin | K = °R × 5/9 | 55.56 K |
Only Kelvin to Rankine and back are a plain multiplication, because both scales start at absolute zero.
Celsius to Fahrenheit and Kelvin chart
Everyday temperatures from deep cold to boiling water.
| Celsius | Fahrenheit | Kelvin | Rankine |
|---|---|---|---|
| -40 °C | -40 °F | 233.15 K | 419.67 °R |
| -18 °C | -0.4 °F | 255.15 K | 459.27 °R |
| -10 °C | 14 °F | 263.15 K | 473.67 °R |
| 0 °C | 32 °F | 273.15 K | 491.67 °R |
| 4 °C | 39.2 °F | 277.15 K | 498.87 °R |
| 10 °C | 50 °F | 283.15 K | 509.67 °R |
| 15 °C | 59 °F | 288.15 K | 518.67 °R |
| 20 °C | 68 °F | 293.15 K | 527.67 °R |
| 25 °C | 77 °F | 298.15 K | 536.67 °R |
| 30 °C | 86 °F | 303.15 K | 545.67 °R |
| 37 °C | 98.6 °F | 310.15 K | 558.27 °R |
| 38 °C | 100.4 °F | 311.15 K | 560.07 °R |
| 40 °C | 104 °F | 313.15 K | 563.67 °R |
| 100 °C | 212 °F | 373.15 K | 671.67 °R |
Oven temperatures: Fahrenheit to Celsius
Exact conversions of common US oven settings. Recipes and oven dials usually round the Celsius figure to the nearest 10.
| Fahrenheit | Celsius (exact) | Typical dial setting |
|---|---|---|
| 250 °F | 121.11 °C | 120 °C |
| 275 °F | 135 °C | 140 °C |
| 300 °F | 148.89 °C | 150 °C |
| 325 °F | 162.78 °C | 160 °C |
| 350 °F | 176.67 °C | 180 °C |
| 375 °F | 190.56 °C | 190 °C |
| 400 °F | 204.44 °C | 200 °C |
| 425 °F | 218.33 °C | 220 °C |
| 450 °F | 232.22 °C | 230 °C |
| 475 °F | 246.11 °C | 240 °C |
| 500 °F | 260 °C | 260 °C |
The dial settings are conventional roundings, not tool output. Going the other way, 180 °C is exactly 356 °F and 200 °C is 392 °F.
Temperature difference conversion is not the same as converting a reading
A temperature and a temperature difference convert differently. A reading of 10 °C is 50 °F, but a change of 10 °C is a change of 18 °F. The 32 in the Celsius to Fahrenheit formula moves the zero point; a difference between two readings has no zero point to move, so only the 9/5 scale factor applies.
The rule for intervals: a difference in °C or K, times 1.8, is the difference in °F or °R. A difference in °F or °R, divided by 1.8, is the difference in °C or K. One Celsius degree and one kelvin are the same size, and so are one Fahrenheit degree and one Rankine degree.
This tool converts readings, so entering a difference with From Celsius and To Fahrenheit adds 32 and gives the wrong answer. There is a workaround: set From to Kelvin (K) and To to Rankine (°R). That pair is a pure multiplication by 9/5, so 10 in gives 18 out, which is the Fahrenheit difference for a 10 °C change. Use Rankine to Kelvin for the reverse.
Worked temperature conversions
A weather reading
Value 18.9, From Celsius (°C), To Fahrenheit (°F)
66.02 °F, with Formula °F = °C × 9/5 + 32
The table also shows 292.05 K and 525.69 °R.
A hot oven in Celsius
Value 203, From Celsius (°C), To Fahrenheit (°F)
397.4 °F
Just under boiling, in Fahrenheit
Value 209, From Fahrenheit (°F), To Celsius (°C)
98.333333 °C (Rounded: 98.33 °C)
Room temperature for a gas law calculation
Value 25, From Celsius (°C), To Kelvin (K)
298.15 K, with Formula K = °C + 273.15
Zero Fahrenheit
Value 0, From Fahrenheit (°F), To Celsius (°C)
-17.777778 °C (Rounded: -17.78 °C)
Quick ways to estimate without a calculator
- Celsius to Fahrenheit, exact: double the Celsius figure, subtract a tenth of that, then add 32. For 20 °C: 40 minus 4 is 36, plus 32 is 68 °F.
- Celsius to Fahrenheit, rough: double it and add 30. 20 °C gives 70 °F, two degrees high.
- Fahrenheit to Celsius, rough: subtract 30 and halve. 70 °F gives 20 °C, close to the true 21.11 °C.
- Anchor points worth knowing: 0 °C is 32 °F, 10 °C is 50 °F, 20 °C is 68 °F, 30 °C is 86 °F and 37 °C is 98.6 °F.
- Every 5 °C step is a 9 °F step, so you can count up or down from an anchor.
How to get your result
- 1
Type the reading into Value. Use a minus sign for temperatures below zero.
- 2
Set From to the scale the reading is on: Celsius (°C), Fahrenheit (°F), Kelvin (K) or Rankine (°R).
- 3
Set To to the scale you want.
- 4
Read Result. Under Conversion details, Formula shows the equation for that pair and Rounded gives two decimal places.
- 5
Check the Same value in every unit table for the reading on all four scales.