Temperature Converter

Convert Celsius to Fahrenheit and back (Kelvin included) with the exact formulas, the anchor points worth memorizing, and the −40° crossover — plus oven and weather quick references.

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About the Scales

The US reads weather and ovens in Fahrenheit; nearly everyone else lives in Celsius; science runs on Kelvin. Recipes, travel forecasts, medical thermometers, and datasheet specs cross these borders constantly — and the conversion is simple enough that the real skill is sanity-checking the answer against known anchors.

Enter any temperature — negatives included — and get all three scales with the formula worked. The anchors table below is the part worth internalizing; with four or five reference points, most conversions become estimation rather than arithmetic.

Converting oven temperatures while scaling a recipe? Pair this with the Recipe Converter

The Exact Formulas

The 9⁄5 factor exists because 100 Celsius degrees span the same range as 180 Fahrenheit degrees:

°F = °C × 9⁄5 + 32 °C = (°F − 32) × 5⁄9 K = °C + 273.15 Mental shortcut: °F ≈ °C × 2 + 30 (good within ~4° for weather)

Worked examples: 100 °C = 212 °F (boiling), 98.6 °F = 37 °C (the textbook body temperature), and −40° is the same in both scales — the crossover every physics teacher loves.

Anchor Points Worth Memorizing

Five anchors cover most real-world estimation:

Reference°C°F
Scales cross−40−40
Water freezes032
Room temperature20–2268–72
Body temperature3798.6
Hot summer day3595
Water boils (sea level)100212
Moderate oven180356

Fever check without math: 38 °C ≈ 100.4 °F is the common clinical fever threshold — a pair worth knowing exactly.

Oven & Weather Quick Sense

Kitchens: UK/EU recipes bake at 160–220 °C, US recipes at 325–425 °F — the ranges map almost perfectly (180 °C ≈ 350 °F is the single most useful pair, the “moderate oven” both traditions share). Fan/convection ovens typically run recipes ~20 °C / 25 °F lower than conventional settings, a conversion layered on top of the scale change.

Weather intuition for travelers: 0 °C is freezing, 10 °C a jacket, 20 °C pleasant, 30 °C hot, 40 °C dangerous — versus 32/50/68/86/104 °F. Kelvin never appears in daily life precisely because its zero is absolute: it exists so equations don't need negative temperatures, not so forecasts can avoid them.

Frequently Asked Questions

What is 100 degrees Fahrenheit in Celsius?

37.78 °C — essentially body temperature. The conversion: (100 − 32) × 5⁄9. A 100 °F day is genuinely hot; a 100 °C day would be boiling water.

Why does −40 equal −40 in both scales?

The scales are two straight lines with different slopes; they must cross somewhere. Setting C = F in the formula: C = 1.8C + 32 → C = −40. It's also a handy formula self-check the converter passes by construction.

What's the quick mental conversion?

Double the Celsius and add 30 (°C 20 → ~70 °F; exact: 68). Reverse: subtract 30, halve. It drifts a few degrees at the extremes — the exact 9⁄5 formula is what this converter runs.

What is 180 °C for baking?

356 °F — recipes round it to 350 °F, the universal “moderate oven.” The common baking ladder: 160 °C/325 °F, 180 °C/350 °F, 200 °C/400 °F, 220 °C/425 °F. Fan ovens: set ~20 °C lower than the recipe's conventional figure.

When do I need Kelvin?

Science and engineering — gas laws, thermodynamics, color temperature of light. It's Celsius shifted so zero is absolute zero (−273.15 °C); a comfortable room is about 295 K. No weather forecast will ever use it, by design.

What temperature is a fever?

The common clinical threshold is 38.0 °C / 100.4 °F measured orally — a memorable exact pair. “Normal” 37 °C / 98.6 °F is a 19th-century average; healthy readings drift a few tenths around it through the day.

Methodology. This calculator uses standard, peer-reviewed mathematical formulas. It is reviewed and maintained by the Vast Calculators editorial team.

Last updated · July 11, 2026

Results are estimates for general use; verify critical figures independently.