How Celsius to Fahrenheit is worked out
Celsius and Fahrenheit are two ways of measuring the same temperature, and the formula between them is exact: °F = °C × 9/5 + 32. Multiply the Celsius temperature by 9, divide by 5, and add 32. The reverse is °C = (°F − 32) × 5/9: subtract 32 from the Fahrenheit temperature, multiply by 5, and divide by 9. The chart lists the nine temperatures people look up most, from -40 °C to 100 °C, with the exact Fahrenheit value for each, and the lookup converts any Celsius value you enter and shows the nearest table row.
At the default — 20 °C — the Fahrenheit is 20 × 9/5 + 32 = 68 °F, and the nearest table row is 20 °C → 68 °F, room temperature. The reverse of 68 °F is 20 °C, the reverse of 32 °F is 0 °C, the reverse of 212 °F is 100 °C, the reverse of 98.6 °F is 37 °C, the reverse of -40 °F is -40 °C, and the reverse of 77 °F is 25 °C.
| °C | °F | Conversion | What it is |
| -40 °C | -40 °F | -40 × 9/5 + 32 = -40 | the crossover point |
| -20 °C | -4 °F | -20 × 9/5 + 32 = -4 | a cold winter day |
| 0 °C | 32 °F | 0 × 9/5 + 32 = 32 | water freezes |
| 10 °C | 50 °F | 10 × 9/5 + 32 = 50 | a cool day |
| 20 °C | 68 °F | 20 × 9/5 + 32 = 68 | room temperature |
| 25 °C | 77 °F | 25 × 9/5 + 32 = 77 | a warm day |
| 30 °C | 86 °F | 30 × 9/5 + 32 = 86 | a hot day |
| 37 °C | 98.6 °F | 37 × 9/5 + 32 = 98.6 | body temperature |
| 100 °C | 212 °F | 100 × 9/5 + 32 = 212 | water boils |
This is a Celsius-to-Fahrenheit chart, and it is not a Kelvin chart: Kelvin is a third scale, and a Kelvin temperature is the Celsius temperature plus 273.15, so 20 °C is 293.15 K. Nothing here is in Kelvin, and no row in the chart is a Kelvin value. Body temperature is 37 °C, which is 98.6 °F: that is the standard figure, and a real body runs a little above or below it through the day.
The worked example, line by line
Setup: 20 °C.
Line 1 — multiply by 9/5. 20 × 9 ÷ 5 = 36.
Line 2 — add 32. 36 + 32 = 68 °F.
Line 3 — the nearest row. 20 °C is a row in the chart itself: 20 °C → 68 °F, room temperature.
Line 4 — the reverse. (68 − 32) × 5/9 = 36 × 5 ÷ 9 = 20 °C.
Every branch, checked
0 °C: 0 × 9/5 + 32 = 32 °F — water freezes. This is the freezing point on both scales, and it is the row most people look up first.
37 °C: 37 × 9/5 + 32 = 66.6 + 32 = 98.6 °F — body temperature. This is the one row with a decimal: 37 × 9/5 is 66.6, not a whole number.
100 °C: 100 × 9/5 + 32 = 180 + 32 = 212 °F — water boils. This is the boiling point at sea level, and it is the top row of the chart.
-40 °C: -40 × 9/5 + 32 = -72 + 32 = -40 °F — the crossover point. This is the only temperature where Celsius and Fahrenheit agree, and it is the same in both directions: -40 °F is -40 °C.
25 °C: 25 × 9/5 + 32 = 45 + 32 = 77 °F — a warm day. This is the row for a warm summer afternoon.
-20 °C: -20 × 9/5 + 32 = -36 + 32 = -4 °F — a cold winter day. Below zero, the Fahrenheit stays negative until the Celsius passes -17.78 °C.
Extra — 15 °C: 15 × 9/5 + 32 = 27 + 32 = 59 °F. This is not a row in the chart: it sits between the 10 °C row (50 °F) and the 20 °C row (68 °F), and the nearest row is 10 °C at 5 °C away, against 20 °C at 5 °C away — a tie, settled to the lower row.
Reverse — Fahrenheit to Celsius: 68 °F is 20 °C, 32 °F is 0 °C, 212 °F is 100 °C, 98.6 °F is 37 °C, -40 °F is -40 °C, and 77 °F is 25 °C. The reverse formula is °C = (°F − 32) × 5/9.
What the defaults assume
The model assumes the standard formula, °F = °C × 9/5 + 32, which is exact: there is no rounding in the formula itself, and the Fahrenheit is shown to 1 decimal place, so 37 °C shows as 98.6 °F and every whole-number result shows without a decimal. The nearest row is the table row closest in Celsius, settled to the lower row on a tie. Body temperature is taken as 37 °C, which is 98.6 °F, and water is taken to freeze at 0 °C and boil at 100 °C at sea level. This is not a Kelvin chart: Kelvin is Celsius plus 273.15, and no row here is a Kelvin value. Rounding convention: Fahrenheit to 1 decimal place, Celsius as entered, and all figures are computed from unrounded values, rounded only for display.
Output · formula · meaning
| Output | Formula | What it means |
| Fahrenheit | °C × 9/5 + 32 | 68 °F. |
| Nearest table row | closest row in °C | 20 °C → 68 °F (room temperature). |
| Formula | 20 × 9/5 + 32 | 20 × 9/5 + 32 = 68. |
| Reverse | (°F − 32) × 5/9 | 68 °F → 20 °C. |
| 0 °C | 0 × 9/5 + 32 | 0 °C → 32 °F (water freezes). |
| 37 °C | 37 × 9/5 + 32 | 37 °C → 98.6 °F (body temperature). |
| 100 °C | 100 × 9/5 + 32 | 100 °C → 212 °F (water boils). |
| -40 °C | -40 × 9/5 + 32 | -40 °C → -40 °F (the crossover point). |
| 25 °C | 25 × 9/5 + 32 | 25 °C → 77 °F (a warm day). |
| -20 °C | -20 × 9/5 + 32 | -20 °C → -4 °F (a cold winter day). |
| Extra: 15 °C | 15 × 9/5 + 32 | . |
| Reverse: 32 °F | (32 − 32) × 5/9 | 32 °F → 0 °C. |
| Reverse: 212 °F | (212 − 32) × 5/9 | 212 °F → 100 °C. |
| Reverse: 98.6 °F | (98.6 − 32) × 5/9 | 98.6 °F → 37 °C. |
| Reverse: -40 °F | (-40 − 32) × 5/9 | -40 °F → -40 °C. |
| Reverse: 77 °F | (77 − 32) × 5/9 | 77 °F → 25 °C. |
Who uses this
- The cook following an American recipe: they learn 20 °C is 68 °F, and an oven at 180 °C is 356 °F — so they know the room temperature row by heart, and they check the chart before they set the oven.
- The traveller checking the weather abroad: they learn 25 °C is 77 °F, a warm day, and 0 °C is 32 °F, freezing — so they know whether to pack a jacket, and they check the reverse when the forecast is in Fahrenheit.
- The parent taking a temperature: they learn 37 °C is 98.6 °F, body temperature — so they know a reading of 100.4 °F is 38 °C, and they check the chart instead of guessing.
- The student learning the two scales: they learn -40 °C is -40 °F, the crossover point — so they know the two scales meet at exactly one temperature, and they check the formula °F = °C × 9/5 + 32.
Accuracy & limitations
The math is exact for the numbers you enter: the Fahrenheit is the Celsius times 9/5 plus 32, and the reverse is the Fahrenheit minus 32 times 5/9. What the model cannot do is measure your temperature for you: check the thermometer, and check whether it reads in Celsius or Fahrenheit before you convert. Body temperature is taken as 37 °C, which is 98.6 °F, and a real body runs a little above or below it through the day. Water is taken to freeze at 0 °C and boil at 100 °C at sea level, and the boiling point falls as the altitude rises. This is not a Kelvin chart: Kelvin is Celsius plus 273.15, and no row here is a Kelvin value. For oven temperatures, see oven temperature chart; for grill temperatures, see grill temperature chart.
Cite this reference tableBright Side Kit. “Celsius to Fahrenheit Chart: Common Temperatures 2026.” brightoolbox.com, 2026. Method: °F = °C × 9/5 + 32; °C = (°F − 32) × 5/9. Table: -40 °C → -40 °F, the crossover point; -20 °C → -4 °F, a cold winter day; 0 °C → 32 °F, water freezes; 10 °C → 50 °F, a cool day; 20 °C → 68 °F, room temperature; 25 °C → 77 °F, a warm day; 30 °C → 86 °F, a hot day; 37 °C → 98.6 °F, body temperature; 100 °C → 212 °F, water boils. Lookup: enter any Celsius value and the chart returns the exact Fahrenheit plus the nearest table row. Defaults: 20 °C → 68 °F, room temperature; 0 °C → 32 °F; 37 °C → 98.6 °F; 100 °C → 212 °F; -40 °C → -40 °F; 25 °C → 77 °F; -20 °C → -4 °F; 15 °C → 59 °F; reverse 68 °F → 20 °C; 32 °F → 0 °C; 212 °F → 100 °C; 98.6 °F → 37 °C; -40 °F → -40 °C; 77 °F → 25 °C. This is NOT a Kelvin chart: Kelvin is Celsius plus 273.15. Bright Side Kit. "Celsius to Fahrenheit Chart: Common Temperatures 2026." https://brightoolbox.com/celsius-to-fahrenheit-chart/ Accessed October 25, 2026.
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