Temperature conversion tables
Temperatures on scales that either do not share a numeric zero or are nonlinearly related cannot correctly be mathematically equated (related using the symbol \( = \)), and thus temperatures on different scales are more correctly described as corresponding (related using the symbol \(\overset{\frown}{=}\) it reads 'corresponds to').
Celsius \( \left( ^{\circ}\mathrm{C} \right) \)
| scale | from | to |
|---|---|---|
| Kelvin | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left( x + 273.15 \right)\mathrm{K}$$ | $$y\ \mathrm{K} \overset{\frown}{=} \left( x - 273.15 \right)\ ^{\circ}\mathrm{C}$$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x \times \frac{9}{5} + 32\right)\ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x - 32\right) \times \frac{5}{9} \ ^{\circ}\mathrm{C} $$ |
| Rankine | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x + 273.15\right) \times \frac{9}{5} \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 491.67\right) \times \frac{5}{9} \ ^{\circ}\mathrm{C}$$ |
| Delisle | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(100 - x \right) \times \frac{3}{2}\ ^{\circ}\mathrm{De} $$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(100 - x \times \frac{2}{3}\right)\ ^{\circ}\mathrm{C} $$ |
| Newton | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} x \times \frac{33}{100} \ ^{\circ}\mathrm{N} $$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} x \times \frac{100}{33} \ ^{\circ}\mathrm{C} $$ |
| Réaumur | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} x \times \frac{4}{5} \ ^{\circ}\mathrm{Ré} $$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} x \times \frac{5}{4} \ ^{\circ}\mathrm{C} $$ |
| Rømer | $$x\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x \times \frac{21}{40} + 7.5 \right) \ ^{\circ}\mathrm{Rø} $$ | $$x\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x - 7.5 \right) \times \frac{40}{21} \ ^{\circ}\mathrm{C} $$ |
Kelvin \( \left( \mathrm{K} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ \mathrm{K} \overset{\frown}{=} \left( x - 273.15 \right)\ ^{\circ}\mathrm{C}$$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left( x + 273.15 \right)\mathrm{K}$$ |
| Fahrenheit | $$y\ \mathrm{K} \overset{\frown}{=} \left(x \times \frac{9}{5} - 459.67 \right) \ ^{\circ}\mathrm{F}$$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x + 459.67\right) \times \frac{5}{9}\ \mathrm{K} $$ |
| Rankine | $$y\ \mathrm{K} \overset{\frown}{=} x \times \frac{9}{5} \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} x \times \frac{5}{9} \mathrm{K} $$ |
| Delisle | $$y\ \mathrm{K} \overset{\frown}{=} \left(373.15 - x \right) \times \frac{3}{2}\ ^{\circ}\mathrm{De} $$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(373.15 - x \times \frac{2}{3} \right) \mathrm{K} $$ |
| Newton | $$y\ \mathrm{K} \overset{\frown}{=} \left(x - 273.15\right) \times \frac{33}{100}\ ^{\circ}\mathrm{N} $$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left(x \times \frac{100}{33} + 273.15\right) \mathrm{K} $$ |
| Réaumur | $$y\ \mathrm{K} \overset{\frown}{=} \left(x - 273.15\right) \times \frac{4}{5} \ ^{\circ}\mathrm{Ré} $$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{5}{4} + 273.15\right) \mathrm{K} $$ |
| Rømer | $$x\ \mathrm{K} \overset{\frown}{=} \left(\left(x - 273.15\right) \times \frac{21}{40} + 7.5\right) \ ^{\circ}\mathrm{Rø}$$ | $$x\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{40}{21} + 273.15\right) \mathrm{K} $$ |
Fahrenheit \( \left( ^{\circ}\mathrm{F} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x - 32\right) \times \frac{5}{9} \ ^{\circ}\mathrm{C} $$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x \times \frac{9}{5} + 32\right)\ ^{\circ}\mathrm{F} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x + 459.67\right) \times \frac{5}{9}\ \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} \left(x \times \frac{9}{5} - 459.67 \right) \ ^{\circ}\mathrm{F}$$ |
| Rankine | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x + 459.67\right) \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 459.67\right) \ ^{\circ}\mathrm{F} $$ |
| Delisle | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(212 - x\right) \times \frac{5}{6} \ ^{\circ}\mathrm{De} $$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(212 - x \times \frac{6}{5} \right) \ ^{\circ}\mathrm{F} $$ |
| Newton | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x - 32\right) \times \frac{11}{60} \ ^{\circ}\mathrm{N} $$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( x \times \frac{60}{11} + 32 \right) \ ^{\circ}\mathrm{F} $$ |
| Réaumur | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} (x - 32) \times \frac{4}{9} \ ^{\circ}\mathrm{Ré} $$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{9}{4} + 32\right) \ ^{\circ}\mathrm{F} $$ |
| Rømer | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(\left(x - 32\right) \times \frac{7}{24} + 7.5\right) \ ^{\circ}\mathrm{Rø} $$ | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{24}{7} + 32\right) \ ^{\circ}\mathrm{F} $$ |
Rankine \( \left( ^{\circ}\mathrm{R} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 491.67\right) \times \frac{5}{9} \ ^{\circ}\mathrm{C}$$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x + 273.15\right) \times \frac{9}{5} \ ^{\circ}\mathrm{R} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} x \times \frac{5}{9} \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} x \times \frac{9}{5} \ ^{\circ}\mathrm{R} $$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 459.67\right) \ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x + 459.67\right) \ ^{\circ}\mathrm{R} $$ |
| Delisle | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(671.67 - x\right) \times \frac{5}{6} \ ^{\circ}\mathrm{De}$$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(671.67 - x \times \frac{6}{5}\right) \ ^{\circ}\mathrm{R} $$ |
| Newton | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 491.67\right) \times \frac{11}{60} \ ^{\circ}\mathrm{N}$$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left(x \times\frac{60}{11} + 491.67\right) \ ^{\circ}\mathrm{R} $$ |
| Réaumur | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} (x - 491.67) \times \frac{4}{9} \ ^{\circ}\mathrm{Ré} $$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{9}{4} + 491.67\right) \ ^{\circ}\mathrm{R} $$ |
| Rømer | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(\left(x - 491.67\right) \times \frac{7}{24} + 7.5\right) \ ^{\circ}\mathrm{Rø}$$ | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{24}{7} + 491.67\right) \ ^{\circ}\mathrm{R}$$ |
Delisle \( \left( ^{\circ}\mathrm{De} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(100 - x \times \frac{2}{3}\right)\ ^{\circ}\mathrm{C} $$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(100 - x \right) \times \frac{3}{2}\ ^{\circ}\mathrm{De} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(373.15 - x \times \frac{2}{3} \right) \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} \left(373.15 - x \right) \times \frac{3}{2}\ ^{\circ}\mathrm{De} $$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(212 - x \times \frac{6}{5} \right) \ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(212 - x\right) \times \frac{5}{6} \ ^{\circ}\mathrm{De} $$ |
| Rankine | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(671.67 - x \times \frac{6}{5}\right) \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(671.67 - x\right) \times \frac{5}{6} \ ^{\circ}\mathrm{De}$$ |
| Newton | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(100 - x \times \frac{11}{50}\right) \ ^{\circ}\mathrm{N}$$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( 100 - x \right) \times\ \frac{50}{11} ^{\circ}\mathrm{De}$$ |
| Réaumur | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left( 100 - x \times \frac{8}{15} \right) \ ^{\circ}\mathrm{Ré}$$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left( 100 - x \right) \frac{15}{8} \ ^{\circ}\mathrm{De}$$ |
| Rømer | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left( 95 - x \times \frac{7}{20} \right) \ ^{\circ}\mathrm{Rø}$$ | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left( 95 - x \right) \frac{20}{7} \ ^{\circ}\mathrm{De}$$ |
Newton \( \left( ^{\circ}\mathrm{N} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} x \times \frac{100}{33} \ ^{\circ}\mathrm{C} $$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} x \times \frac{33}{100} \ ^{\circ}\mathrm{N} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left(x \times \frac{100}{33} + 273.15\right) \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} \left(x - 273.15\right) \times \frac{33}{100}\ ^{\circ}\mathrm{N} $$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( x \times \frac{60}{11} + 32 \right) \ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(x - 32\right) \times \frac{11}{60} \ ^{\circ}\mathrm{N} $$ |
| Rankine | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=}\left(x \times \frac{60}{11} + 491.67\right) \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(x - 491.67\right) \times \frac{11}{60} \ ^{\circ}\mathrm{N}$$ |
| Delisle | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( 100 - x \right) \times\ \frac{50}{11}\ ^{\circ}\mathrm{De}$$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left(100 - x \times \frac{11}{50}\right) \ ^{\circ}\mathrm{N}$$ |
| Réaumur | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} x \times \frac{80}{33} \ ^{\circ}\mathrm{Ré}$$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=}x \times \frac{33}{80} \ ^{\circ}\mathrm{N}$$ |
| Rømer | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( x \times \frac{35}{22} +\frac{250}{11} \right) \ ^{\circ}\mathrm{Rø}$$ | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x \times \frac{22}{35} -\frac{100}{7} \right) \ ^{\circ}\mathrm{N}$$ |
Réaumur \( \left( ^{\circ}\mathrm{Ré} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} x \times \frac{5}{4} \ ^{\circ}\mathrm{C} $$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} x \times \frac{4}{5} \ ^{\circ}\mathrm{Ré} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{5}{4} + 273.15\right) \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} \left(x - 273.15\right) \times \frac{4}{5} \ ^{\circ}\mathrm{Ré} $$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{9}{4} + 32\right) \ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} (x - 32) \times \frac{4}{9} \ ^{\circ}\mathrm{Ré} $$ |
| Rankine | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left(x \times \frac{9}{4} + 491.67\right) \ ^{\circ}\mathrm{R} $$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} (x - 491.67) \times \frac{4}{9} \ ^{\circ}\mathrm{Ré} $$ |
| Delisle | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left( 100 - x \right) \frac{15}{8} \ ^{\circ}\mathrm{De}$$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left( 100- x \times \frac{8}{15} \right) \ ^{\circ}\mathrm{Ré}$$ |
| Newton | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=}x \times \frac{33}{80} \ ^{\circ}\mathrm{N}$$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} x \times \frac{80}{33} ^{\circ}\mathrm{Ré}$$ |
| Rømer | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left( x \times \frac{21}{32} + \frac{75}{8} \right) \ ^{\circ}\mathrm{Rø}$$ | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x \times \frac{32}{21} - \frac{100}{7} \right) \ ^{\circ}\mathrm{Ré} $$ |
Rømer \( \left( ^{\circ}\mathrm{Rø} \right) \)
| scale | from | to |
|---|---|---|
| Celsius | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x - 7.5 \right) \times \frac{40}{21} \ ^{\circ}\mathrm{C} $$ | $$y\ ^{\circ}\mathrm{C} \overset{\frown}{=} \left(x \times \frac{21}{40} + 7.5 \right) \ ^{\circ}\mathrm{Rø} $$ |
| Kelvin | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{40}{21} + 273.15\right) \mathrm{K} $$ | $$y\ \mathrm{K} \overset{\frown}{=} \left(\left(x - 273.15\right) \times \frac{21}{40} + 7.5\right) \ ^{\circ}\mathrm{Rø}$$ |
| Fahrenheit | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{24}{7} + 32\right) \ ^{\circ}\mathrm{F} $$ | $$y\ ^{\circ}\mathrm{F} \overset{\frown}{=} \left(\left(x - 32\right) \times \frac{7}{24} + 7.5\right) \ ^{\circ}\mathrm{Rø} $$ |
| Rankine | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(\left(x - 7.5\right) \times \frac{24}{7} + 491.67\right) \ ^{\circ}\mathrm{R}$$ | $$y\ ^{\circ}\mathrm{R} \overset{\frown}{=} \left(\left(x - 491.67\right) \times \frac{7}{24} + 7.5\right) \ ^{\circ}\mathrm{Rø}$$ |
| Delisle | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left( 95 - x \right) \frac{20}{7} \ ^{\circ}\mathrm{De}$$ | $$y\ ^{\circ}\mathrm{De} \overset{\frown}{=} \left( 95 - x \times \frac{7}{20} \right) \ ^{\circ}\mathrm{Rø}$$ |
| Newton | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x \times \frac{22}{35} -\frac{100}{7} \right) \ ^{\circ}\mathrm{N}$$ | $$y\ ^{\circ}\mathrm{N} \overset{\frown}{=} \left( x \times \frac{35}{22} +\frac{250}{11} \right) \ ^{\circ}\mathrm{Rø}$$ |
| Réaumur | $$y\ ^{\circ}\mathrm{Rø} \overset{\frown}{=} \left(x \times \frac{32}{21} - \frac{100}{7} \right) \ ^{\circ}\mathrm{Ré} $$ | $$y\ ^{\circ}\mathrm{Ré} \overset{\frown}{=} \left( x \times \frac{21}{32} + \frac{75}{8} \right) \ ^{\circ}\mathrm{Rø}$$ |