Fahrenheit to Celsius Converter

Instantly convert any temperature between °F and Celsius — with full working shown.

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The Fahrenheit to Celsius converter lets you type a temperature in either scale and see the other value update instantly, with the full step-by-step arithmetic shown on demand. Whether you are checking a weather forecast, following an American recipe, reading a medical chart, or programming a thermostat, this tool gives you the exact answer in under a second — no rounding, no tables to scan, no guesswork.

The formula

There are two exact conversion formulas, derived from the definition of both scales:

Converting °F → °C (subtract the ice-point offset, then scale):

°C = (°F − 32) × 5/9

Converting °C → °F (scale up, then add the ice-point offset):

°F = °C × 9/5 + 32

The factor 5/9 (≈ 0.5556) exists because a Fahrenheit degree is exactly 5/9 the size of a Celsius degree. Fahrenheit placed water’s freezing point at 32 °F and boiling at 212 °F, giving a span of 180 °F across what Celsius covers in 100 °C — hence the 9/5 ratio between them.

Worked example

Problem: a recipe calls for a 350 °F oven. What is that in Celsius?

  1. Start: 350 °F
  2. Subtract 32: 350 − 32 = 318
  3. Multiply by 5/9: 318 × 5/9 = 1590/9 = 176.67 °C

So set your oven to approximately 177 °C (or Gas Mark 4 in UK gas ovens).

Reverse example: 20 °C room temperature in Fahrenheit:

  1. Start: 20 °C
  2. Multiply by 9/5: 20 × 1.8 = 36
  3. Add 32: 36 + 32 = 68 °F

Key reference temperatures

Point°F°C
Absolute zero−459.67−273.15
Water freezes320
Room temperature68–7220–22
Normal body temperature98.637
Water boils (sea level)212100
Moderate oven350176.67

The two scales are equal at −40°, the only temperature where both readings are identical — a useful sanity-check if you ever need to verify a formula mentally.

Why the formulas look the way they do

The offset of 32 comes from Fahrenheit’s choice of 32 as his ice-point. The 9/5 factor comes from his choice of 180 degrees between freezing and boiling (compared to Celsius’s 100 degrees). 180/100 simplifies to 9/5. Both formulas are algebraic inverses: applying one and then the other always returns you to the original value.

Celsius (formerly called centigrade) is anchored to water: 0 °C = freezing, 100 °C = boiling at sea-level standard pressure. This makes it far more intuitive for everyday science and cooking. Fahrenheit’s original anchors were a brine solution and human body temperature — neither of which are as reproducible — so Celsius was adopted as the global scientific standard.

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