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Celsius to Fahrenheit — The Formula, Quick Tricks & Common Temperatures

Converting between Celsius and Fahrenheit is easier than it looks. Learn the exact formula, a fast mental-math shortcut, and a handy reference table for everyday temperatures.

3 May 2026 3 min read By Tools.Town Team Fact Checked

Key Takeaways

  • °F = (°C × 9/5) + 32
  • °C = (°F − 32) × 5/9
  • −40° is the one temperature that is identical in both scales
  • Double the Celsius value and add 30

The Two Scales

Celsius (°C) is the metric standard. Water freezes at 0°C and boils at 100°C. Used in most of the world.

Fahrenheit (°F) is used primarily in the United States. Water freezes at 32°F and boils at 212°F.

The scales overlap at one exact point: −40° is identical in both systems.

0°C = 32°F

Water freezes (°C)

100°C = 212°F

Water boils (°C)

37°C = 98.6°F

Body temperature

−40°C = −40°F

Equal point


Celsius → Fahrenheit Formula

°F = (°C × 9/5) + 32

Or written differently: °F = (°C × 1.8) + 32

Example 1: Body temperature

Normal body temperature is 37°C. What is it in Fahrenheit?

°F = (37 × 1.8) + 32
°F = 66.6 + 32
°F = 98.6°F

Example 2: A hot summer day

35°C in Fahrenheit:

°F = (35 × 1.8) + 32
°F = 63 + 32
°F = 95°F


Fahrenheit → Celsius Formula

°C = (°F − 32) × 5/9

Or: °C = (°F − 32) ÷ 1.8

Example: Oven temperature

A recipe calls for 350°F. What is that in Celsius?

°C = (350 − 32) ÷ 1.8
°C = 318 ÷ 1.8
°C = 176.7°C (round to 175°C or 180°C for a home oven)

°F = (°C × 1.8) + 32

Examples:
37°C → (37 × 1.8) + 32 = 98.6°F  (body temp)
35°C → (35 × 1.8) + 32 = 95°F    (hot day)
0°C  → (0 × 1.8) + 32  = 32°F    (freezing)

Mental-Math Shortcut

For a fast estimate without a calculator:

°C → °F: Double the Celsius, then add 30

Actual °C Shortcut (×2+30) Exact °F Error
0°C 0 + 30 = 30 32°F −2
10°C 20 + 30 = 50 50°F 0 ✓
20°C 40 + 30 = 70 68°F +2
30°C 60 + 30 = 90 86°F +4
40°C 80 + 30 = 110 104°F +6

The shortcut is accurate to within ±5°F for everyday temperatures. It breaks down at extremes.


Reference Table: Common Temperatures

Description °C °F
Absolute zero −273.15 −459.67
Water freezes 0 32
Cold winter day −10 14
Comfortable room 22 71.6
Body temperature 37 98.6
Hot summer day 40 104
Water boils 100 212
Oven (medium) 180 356
Oven (high) 220 428

Why Two Scales Exist

Daniel Gabriel Fahrenheit (1686–1736) proposed his scale using a saltwater brine mixture as 0° and human body temperature as ~96°. The scale was later adjusted and standardized.

Anders Celsius (1701–1744) proposed a scale with 0° at boiling and 100° at freezing — the opposite of today’s convention. It was later reversed after his death.

The scientific community adopted Celsius as part of the metric (SI) system. The US retained Fahrenheit largely due to historical inertia and the cost of switching.

  • 1724

    Daniel Gabriel Fahrenheit proposes his temperature scale

    Used saltwater brine as 0° and human body temperature as ~96°. Later standardized.

  • 1742

    Anders Celsius proposes centigrade scale

    Originally with 0° at boiling and 100° at freezing — the reverse of today. Inverted after his death.

  • 1960

    Celsius adopted as the SI standard worldwide

    The scientific community standardizes on Celsius. US retains Fahrenheit due to historical inertia.

Use our Temperature Converter to instantly convert between Celsius, Fahrenheit, and Kelvin for any value.

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Frequently Asked Questions

What is the formula to convert Celsius to Fahrenheit?
°F = (°C × 9/5) + 32. Multiply the Celsius value by 1.8, then add 32.
What is the formula to convert Fahrenheit to Celsius?
°C = (°F − 32) × 5/9. Subtract 32 first, then multiply by 0.5556.
What temperature is the same in Celsius and Fahrenheit?
−40° is the one temperature that is identical in both scales. At −40°F = −40°C.
What is a quick mental-math trick for Celsius to Fahrenheit?
Double the Celsius value and add 30. It's not exact but gives a fast estimate — e.g. 20°C → 40 + 30 = 70°F (actual: 68°F).

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