Fahrenheit to Celsius Formula
The complete formula for converting fahrenheit (°F) to celsius (°C). See the formula, how it works, and worked examples below.
°C = (°F - 32) × 5/9
How the Formula Works
Temperature conversion between fahrenheit and celsius uses an offset formula, not a simple multiplication. This is because temperature scales have different zero points.
Worked Examples
0 °F to °C
- Start with 0°F
- Subtract 32: 0 - 32 = -32
- Multiply by 5/9: -32 × 0.5556 = -17.78
- Result: 0°F = -17.78°C
20 °F to °C
- Start with 20°F
- Subtract 32: 20 - 32 = -12
- Multiply by 5/9: -12 × 0.5556 = -6.67
- Result: 20°F = -6.67°C
37 °F to °C
- Start with 37°F
- Subtract 32: 37 - 32 = 5
- Multiply by 5/9: 5 × 0.5556 = 2.78
- Result: 37°F = 2.78°C
100 °F to °C
- Start with 100°F
- Subtract 32: 100 - 32 = 68
- Multiply by 5/9: 68 × 0.5556 = 37.78
- Result: 100°F = 37.78°C
200 °F to °C
- Start with 200°F
- Subtract 32: 200 - 32 = 168
- Multiply by 5/9: 168 × 0.5556 = 93.33
- Result: 200°F = 93.33°C
Reverse Formula: Celsius to Fahrenheit
°F = °C × 9/5 + 32
See the full Celsius to Fahrenheit formula for worked examples.
Related
Frequently Asked Questions
The formula is: °C = (°F - 32) × 5/9. See the worked examples above for step-by-step breakdowns, or use the Fahrenheit to Celsius converter for instant results.
100 fahrenheit = 37.78 celsius. Apply the formula: °C = (°F - 32) × 5/9.