This is a collection of temperature conversion formulas and comparisons among eight different temperature scales, several of which have long been obsolete.

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 ≘).

Conversion calculator + Calculator for temperature conversion Celsius Fahrenheit Kelvin Rankine Delisle Newton Réaumur Rømer

Celsius scale

Kelvin scale

Fahrenheit scale

Rankine scale

Delisle scale

Newton scale

Réaumur scale

Rømer scale

Comparison values chart

Celsius Fahrenheit Kelvin Rankine Delisle Newton Réaumur Rømer 500.00 932.00 773.15 1391.67 −600.00 165.00 400.00 270.00 490.00 914.00 763.15 1373.67 −585.00 161.70 392.00 264.75 480.00 896.00 753.15 1355.67 −570.00 158.40 384.00 259.50 470.00 878.00 743.15 1337.67 −555.00 155.10 376.00 254.25 460.00 860.00 733.15 1319.67 −540.00 151.80 368.00 249.00 450.00 842.00 723.15 1301.67 −525.00 148.50 360.00 243.75 440.00 824.00 713.15 1283.67 −510.00 145.20 352.00 238.50 430.00 806.00 703.15 1265.67 −495.00 141.90 344.00 233.25 420.00 788.00 693.15 1247.67 −480.00 138.60 336.00 228.00 410.00 770.00 683.15 1229.67 −465.00 135.30 328.00 222.75 400.00 752.00 673.15 1211.67 −450.00 132.00 320.00 217.50 390.00 734.00 663.15 1193.67 −435.00 128.70 312.00 212.25 380.00 716.00 653.15 1175.67 −420.00 125.40 304.00 207.00 370.00 698.00 643.15 1157.67 −405.00 122.10 296.00 201.75 360.00 680.00 633.15 1139.67 −390.00 118.80 288.00 196.50 350.00 662.00 623.15 1121.67 −375.00 115.50 280.00 191.25 340.00 644.00 613.15 1103.67 −360.00 112.20 272.00 186.00 330.00 626.00 603.15 1085.67 −345.00 108.90 264.00 180.75 320.00 608.00 593.15 1067.67 −330.00 105.60 256.00 175.50 310.00 590.00 583.15 1049.67 −315.00 102.30 248.00 170.25 300.00 572.00 573.15 1031.67 −300.00 99.00 240.00 165.00 290.00 554.00 563.15 1013.67 −285.00 95.70 232.00 159.75 280.00 536.00 553.15 995.67 −270.00 92.40 224.00 154.50 270.00 518.00 543.15 977.67 −255.00 89.10 216.00 149.25 260.00 500.00 533.15 959.67 −240.00 85.80 208.00 144.00 250.00 482.00 523.15 941.67 −225.00 82.50 200.00 138.75 240.00 464.00 513.15 923.67 −210.00 79.20 192.00 133.50 230.00 446.00 503.15 905.67 −195.00 75.90 184.00 128.25 220.00 428.00 493.15 887.67 −180.00 72.60 176.00 123.00 210.00 410.00 483.15 869.67 −165.00 69.30 168.00 117.75 200.00 392.00 473.15 851.67 −150.00 66.00 160.00 112.50 190.00 374.00 463.15 833.67 −135.00 62.70 152.00 107.25 180.00 356.00 453.15 815.67 −120.00 59.40 144.00 102.00 170.00 338.00 443.15 797.67 −105.00 56.10 136.00 96.75 160.00 320.00 433.15 779.67 −90.00 52.80 128.00 91.50 150.00 302.00 423.15 761.67 −75.00 49.50 120.00 86.25 140.00 284.00 413.15 743.67 −60.00 46.20 112.00 81.00 130.00 266.00 403.15 725.67 −45.00 42.90 104.00 75.75 120.00 248.00 393.15 707.67 −30.00 39.60 96.00 70.50 110.00 230.00 383.15 689.67 −15.00 36.30 88.00 65.25 100.00 212.00 373.15 671.67 0.00 33.00 80.00 60.00 90.00 194.00 363.15 653.67 15.00 29.70 72.00 54.75 80.00 176.00 353.15 635.67 30.00 26.40 64.00 49.50 70.00 158.00 343.15 617.67 45.00 23.10 56.00 44.25 60.00 140.00 333.15 599.67 60.00 19.80 48.00 39.00 50.00 122.00 323.15 581.67 75.00 16.50 40.00 33.75 40.00 104.00 313.15 563.67 90.00 13.20 32.00 28.50 30.00 86.00 303.15 545.67 105.00 9.90 24.00 23.25 20.00 68.00 293.15 527.67 120.00 6.60 16.00 18.00 10.00 50.00 283.15 509.67 135.00 3.30 8.00 12.75 0.00 32.00 273.15 491.67 150.00 0.00 0.00 7.50 −10.00 14.00 263.15 473.67 165.00 −3.30 −8.00 2.25 −14.26 6.29 258.86 465.96 171.43 −4.71 −11.43 0.00 −17.78 0.00 255.37 459.67 176.67 −5.87 −14.22 −1.83 −20.00 −4.00 253.15 455.67 180.00 −6.60 −16.00 −3.00 −30.00 −22.00 243.15 437.67 195.00 −9.90 −24.00 −8.25 −40.00 −40.00 233.15 419.67 210.00 −13.20 −32.00 −13.50 −50.00 −58.00 223.15 401.67 225.00 −16.50 −40.00 −18.75 −60.00 −76.00 213.15 383.67 240.00 −19.80 −48.00 −24.00 −70.00 −94.00 203.15 365.67 255.00 −23.10 −56.00 −29.25 −80.00 −112.00 193.15 347.67 270.00 −26.40 −64.00 −34.50 −90.00 −130.00 183.15 329.67 285.00 −29.70 −72.00 −39.75 −100.00 −148.00 173.15 311.67 300.00 −33.00 −80.00 −45.00 −110.00 −166.00 163.15 293.67 315.00 −36.30 −88.00 −50.25 −120.00 −184.00 153.15 275.67 330.00 −39.60 −96.00 −55.50 −130.00 −202.00 143.15 257.67 345.00 −42.90 −104.00 −60.75 −140.00 −220.00 133.15 239.67 360.00 −46.20 −112.00 −66.00 −150.00 −238.00 123.15 221.67 375.00 −49.50 −120.00 −71.25 −160.00 −256.00 113.15 203.67 390.00 −52.80 −128.00 −76.50 −170.00 −274.00 103.15 185.67 405.00 −56.10 −136.00 −81.75 −180.00 −292.00 93.15 167.67 420.00 −59.40 −144.00 −87.00 −190.00 −310.00 83.15 149.67 435.00 −62.70 −152.00 −92.25 −200.00 −328.00 73.15 131.67 450.00 −66.00 −160.00 −97.50 −210.00 −346.00 63.15 113.67 465.00 −69.30 −168.00 −102.75 −220.00 −364.00 53.15 95.67 480.00 −72.60 −176.00 −108.00 −230.00 −382.00 43.15 77.67 495.00 −75.90 −184.00 −113.25 −240.00 −400.00 33.15 59.67 510.00 −79.20 −192.00 −118.50 −250.00 −418.00 23.15 41.67 525.00 −82.50 −200.00 −123.75 −260.00 −436.00 13.15 23.67 540.00 −85.80 −208.00 −129.00 −270.00 −454.00 3.15 5.67 555.00 −89.10 −216.00 −134.25 −273.15 −459.67 0.00 0.00 559.725 −90.1395 −218.52 −135.90375 Celsius Fahrenheit Kelvin Rankine Delisle Newton Réaumur Rømer

Comparison of temperature scales + Comparison of temperature scales Comment Kelvin Celsius Fahrenheit Rankine Delisle Newton Réaumur Rømer Absolute zero 0.00 −273.15 −459.67 0.00 559.73 −90.14 −218.52 −135.90 Lowest recorded surface temperature on EarthThe Coldest Inhabited Places on Earth; researchers of the Vostok Station recorded the coldest known temperature on Earth on July 21st 1983: −89.2 °C (−128.6 °F). 184 −89.2 −128.6 331 284 −29 −71 −39 Fahrenheit's ice/salt mixture 255.37 −17.78 0.00 459.67 176.67 −5.87 −14.22 −1.83 Ice melts (at standard pressure) 273.15 0.00 32.00 491.67 150.00 0.00 0.00 7.50 Triple point of water 273.16 0.01 32.018 491.688 149.985 0.0033 0.008 7.50525 Average surface temperature on Earth 288 15 59 519 128 5 12 15 Average human body temperature* 310 37 98 558 95 12 29 27 Highest recorded surface temperature on Earth 331 58 136.4 596 63 19 46 38 Water boils (at standard pressure) 373.1339 99.9839 211.97102 671.64102 0.00 33.00 80.00 60.00 Titanium melts 1941 1668 3034 3494 −2352 550 1334 883 The surface of the Sun 5800 5500 9900 10400 −8100 1800 4400 2900

* Normal human body temperature is 36.8 °C ±0.7 °C, or 98.2 °F ±1.3 °F. The commonly given value 98.6 °F is simply the exact conversion of the nineteenth-century German standard of 37 °C. Since it does not list an acceptable range, it could therefore be said to have excess (invalid) precision.

Some numbers in this table have been rounded.

Graphical representation Rankine (°R) Kelvin (K) Fahrenheit (°F) Celsius (°C)Réaumur (°Ré)Rømer (°Rø)Newton (°N) Delisle (°D)   Absolute zero Lowest recorded surface temperature on Earth Fahrenheit's ice/water/salt mixture Melting point of ice (at standard pressure) Average surface temperature on Earth (15 °C) Average human body temperature (37 °C) Highest recorded surface temperature on Earth Boiling point of water (at standard pressure)    

Conversion table between the different temperature units

Converting units of temperature differences For most pairs of scales, converting units of temperature differences (also referred to as temperature deltas) is not the same as converting absolute temperature values, and different formulae must be used.

For example, to convert a change in temperature from degrees Celsius to degrees Fahrenheit, the formula is

However, a couple exceptions exist, including kelvin (K)/degrees Celsius (°C) and degrees Rankine (°R)/degrees Fahrenheit (°F), where the former of each pair is the resulting scale from the zero-calibration of absolute zero of the latter scale. Because this transformation is a simple additive shift, the magnitude of the unit is perfectly preserved.

As such, a change in temperature given in degrees Celsius (°C) is the same value in kelvin (K), that is: Analogously, a change in temperature given in degrees Fahrenheit (°F) is the same value in degrees rankine (°R), that is: {ΔT}°R = {ΔT}°F.

See also Outline of metrology and measurement Degree of frost Conversion of units Gas mark

Notes and references