The Celsius to Fahrenheit Formula
Temperature conversion between Celsius and Fahrenheit is something nearly everyone needs at some point — whether you're cooking, traveling, reading a weather forecast, or following medical advice. The exact formula is:
°F = (°C × 9/5) + 32
To convert Fahrenheit back to Celsius: °C = (°F − 32) × 5/9
Key Reference Temperatures
- 0°C = 32°F — Water freezing point
- 20°C = 68°F — Comfortable room temperature
- 37°C = 98.6°F — Normal human body temperature
- 100°C = 212°F — Water boiling point (at sea level)
A Quick Mental Shortcut
Memorizing the formula is hard. Here's an easy two-step method: double the Celsius value, subtract 10%, then add 32. For 20°C: 20 × 2 = 40, minus 10% = 36, plus 32 = 68°F. It's a rough approximation but useful for everyday estimates.
Why Two Systems Exist
Celsius (also called Centigrade) was designed with scientific logic: 0° is the freezing point of water, 100° is the boiling point. It was proposed by Anders Celsius in 1742 and is used by most of the world. Fahrenheit was proposed by Daniel Gabriel Fahrenheit in 1724. The United States remains one of the few countries still using °F as its primary temperature scale.
Cooking Temperature Reference
- 150°C = 302°F (low oven)
- 180°C = 356°F (moderate oven)
- 200°C = 392°F (hot oven)
- 220°C = 428°F (very hot oven)
Skip the math entirely — use our free temperature converter to get instant results.
Frequently Asked Questions
What is the formula for Celsius to Fahrenheit?
The exact formula is: °F = (°C × 9/5) + 32. To go the other way: °C = (°F − 32) × 5/9. Key reference points: 0°C = 32°F (water freezes), 100°C = 212°F (water boils), 37°C = 98.6°F (normal body temperature).
Is there a quick mental trick for Celsius to Fahrenheit?
Yes — double the Celsius value and add 30. This gives a rough answer within a few degrees for most everyday temperatures. For example, 20°C: (20 × 2) + 30 = 70°F (exact: 68°F). Good enough for deciding what to wear.
What is -40°C in Fahrenheit?
−40°C equals exactly −40°F. This is the one temperature where the Celsius and Fahrenheit scales intersect. It's also well below any normal weather temperature, occurring mainly in extreme Arctic or Antarctic conditions.
Convert any temperature — Celsius, Fahrenheit, Kelvin, and Rankine.
⚡ Temperature Converter — FreeAccuracy note: Conversion factors on SwiftConvertHub are sourced from NIST and IEC standards. Results are accurate for general use. For safety-critical or professional applications, verify results independently. Full disclaimer →
Victor A. Calvo S. is a software engineer and digital entrepreneur who builds practical, free tools for developers, students, and professionals worldwide. He is the creator of SwiftConvertHub, InstantLinkHub, and Feexio. All conversion factors are cross-referenced against NIST and IEC standards. Learn more →