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Dimensionless quantities converter
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Converts dimensionless quantity units such as percent, permile, ppm (parts per million) mU (miliuno) etc.

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Inputs data - value and unit, which we're going to convert#

Value
Unit
Decimals

#

popular#

UnitSymbolSymbol
(plain text)		ValueNotes
percentShow source/0 0\mathrlap{\it{/}}{^0}_{\,0}%1Equvalent to one hundredth (1/100). Percents are very common in everyday life e.g. to express various financial data such as inflation rate, profit from bank deposit or to measure concentration of solutions. See the percentage calculator for more information.1%=1100=0.011\% = \frac{1}{100} = 0.01
permilShow source/0 00\mathrlap{\it{/}}{^0}_{\,00}‰10Equvalent to one thousandth (1/1000) or one tenth of percent (0.1%). Permils are used, among other, to express blood alcohol levels.1/0 00=11000=0.001=0.1%1\mathrlap{\it{/}}{^0}_{\,00} = \frac{1}{1000} = 0.001 = 0.1\%
basis point (permyriad)Show source/0 000\mathrlap{\it{/}}{^0}_{\,000}‱100Equivalent to one ten-thousandth (1/10000) or one hundredth of a percent (0.01%). The basis point is often used to express small changes in financial values.1 bp=1/0 000=110000=0.01%1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000} = \frac{1}{10000} = 0.01\%

financial#

UnitSymbolSymbol
(plain text)		ValueNotes
basis point (permyriad)Show source/0 000\mathrlap{\it{/}}{^0}_{\,000}‱100Equivalent to one ten-thousandth (1/10000) or one hundredth of a percent (0.01%). The basis point is often used to express small changes in financial values.1 bp=1/0 000=110000=0.01%1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000} = \frac{1}{10000} = 0.01\%
percentage in pointShow sourcepippippip100Alternative name for basis point used on currency markets (FOREX). See the basis point for more information.1 pip=1 bp=1/0 0001\ pip = 1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000}
tick size (US bonds)Show sourcetickticktick32Equivalent to one thirty-second of percent (1/32 %). US tick is used to measure small price changes on financial markets in United States (e.g. prices of bonds, stocks or futures).1 tick (US)=132%1\ \text{tick (US)} = \frac{1}{32}\%
tick size plus (US bonds)Show sourcetick+tick+tick+64Equivalent to one sixty-fourth of percent (1/64 %). US tick+ is used to measure small price changes on financial markets in United States (e.g. prices of bonds, stocks or futures).1 tick+ (US)=164%=2 tick (US)1\ \text{tick+ (US)} = \frac{1}{64}\% = 2\ \text{tick (US)}

chemical#

UnitSymbolSymbol
(plain text)		ValueNotes
parts per thousandShow sourceppthppthppth10Equivalent to one permil. It's the abbreviation for parts per thousand. See the permil unit for more information.1 ppth=1/0 00=11000=0.1%=10−31\ ppth = 1\mathrlap{\it{/}}{^0}_{\,00} = \frac{1}{1000} = 0.1\% = 10^{-3}
parts per millionShow sourceppmppmppm10000Unit used in chemistry to measure very small concentrations. It's the abbreviation for parts per million. The solution has concentration of one ppm if there is one part of substance (solute) per million parts of solution (mass, volume, molar etc.).1 ppm=11 000 000=0.0001%=10−61\ ppm = \frac{1}{1\ 000\ 000} = 0.0001\% = 10^{-6}
parts per hundred millionShow sourcepphmpphmpphm1000000Unit used in chemistry to measure very small concentrations. It's the abbreviation for parts per hundred million. The solution has concentration of one pphm if there is one part of substance (solute) per one hundred million parts of solution (mass, volume, molar etc.).1 pphm=1100 000 000=10−6 %=10−81\ pphm = \frac{1}{100\ 000\ 000} = 10^{-6}\ \% = 10^{-8}
parts per billionShow sourceppbppbppb10000000Unit used in chemistry to measure very small concentrations. It's the abbreviation for parts per billion. The solution has concentration of one ppb if there is one part of substance (solute) per billion parts of solution (mass, volume, molar etc.).1 ppb=11 000 000 000=10−9=10−7 %1\ ppb = \frac{1}{1\ 000\ 000\ 000} = 10^{-9} = 10^{-7}\ \%
parts per trillionShow sourcepptpptppt10000000000Unit used in chemistry to measure very small concentrations. It's the abbreviation for parts per trillion. The solution has concentration of one ppt if there is one part of substance (solute) per trillion parts of solution (mass, volume, molar etc.).1 ppt=10−12=10−10 %1\ ppt = 10^{-12} = 10^{-10}\ \%
parts per quadrillionShow sourceppqppqppq1×1013Unit used in chemistry to measure very small concentrations. It's the abbreviation for parts per quadrillion. The solution has concentration of one ppq if there is one part of substance (solute) per quadrillion parts of solution (mass, volume, molar etc.).1 ppq=10−15=10−13 %1\ ppq = 10^{-15} = 10^{-13}\ \%

SI#

UnitSymbolSymbol
(plain text)		ValueNotes
yottaunoShow sourceYUYUYU1×10-26Derived dimensionless quantity unit in SI system. One yottauno is equal to septylion of uno: 1 YU=1024 U1\ YU= 10^{24}\ U
zettaunoShow sourceZUZUZU1×10-23Derived dimensionless quantity unit in SI system. One zettauno is equal to sextillion of uno: 1 ZU=1021 U1\ ZU= 10^{21}\ U
exaunoShow sourceEUEUEU1×10-20Derived dimensionless quantity unit in SI system. One exauno is equal to quintillion of uno: 1 EU=1018 U1\ EU= 10^{18}\ U
petaunoShow sourcePUPUPU1×10-17Derived dimensionless quantity unit in SI system. One petauno is equal to quadrillion of uno: 1 PU=1015 U1\ PU= 10^{15}\ U
teraunoShow sourceTUTUTU1×10-14Derived dimensionless quantity unit in SI system. One terauno is equal to trillion of uno: 1 TU=1012 U1\ TU= 10^{12}\ U
gigaunoShow sourceGUGUGU1×10-11Derived dimensionless quantity unit in SI system. One gigauno is equal to billion of uno: 1 GU=109 U1\ GU= 10^{9}\ U
megaunoShow sourceMUMUMU1×10-8Derived dimensionless quantity unit in SI system. One megauno is equal to million of uno: 1 MU=1000000 U=106 U1\ MU=1000000\ U= 10^{6}\ U
kilounoShow sourcekUkUkU0.00001Derived dimensionless quantity unit in SI system. One kilouno is equal to thausand of uno: 1 kU=1000 U=103 U1\ kU=1000\ U= 10^{3}\ U
hektounoShow sourcehUhUhU0.0001Derived dimensionless quantity unit in SI system. One hektouno is equal to hundred of uno: 1 hU=100 U=102 U1\ hU=100\ U= 10^{2}\ U
unoShow sourceUUU0.01Base dimensionless quantity unit in SI system.
deciunoShow sourcedUdUdU0.1Derived dimensionless quantity unit in SI system. One deciuno is equal to one tenth of uno: 1 dU=0.1 U=10−1 U1\ dU=0.1\ U= 10^{-1}\ U
centiunoShow sourcecUcUcU1Derived dimensionless quantity unit in SI system. One centiuno is equal to one hundredth of uno: 1 cU=0.01 U=10−2 U1\ cU=0.01\ U= 10^{-2}\ U
miliunoShow sourcemUmUmU10Derived dimensionless quantity unit in SI system. One miliuno is equal to one thousandth of uno: 1 mU=0.001 U=10−3 U1\ mU=0.001\ U= 10^{-3}\ U
microunoShow sourceμU\mu UµU10000Derived dimensionless quantity unit in SI system. One microuno is equal to one millionth of uno: 1 μU=0.000001 U=10−6 U1\ \mu U=0.000001\ U= 10^{-6}\ U
nanounoShow sourcenUnUnU10000000Derived dimensionless quantity unit in SI system. One nanouno is equal to one billionth of uno: 1 nU=10−9 U1\ nU= 10^{-9}\ U
pikounoShow sourcepUpUpU10000000000Derived dimensionless quantity unit in SI system. One pikouno is equal to one trillionth of uno: 1 pU=10−12 U1\ pU= 10^{-12}\ U
femtounoShow sourcefUfUfU1×1013Derived dimensionless quantity unit in SI system. One femtouno is equal to one quadrillionth of uno: 1 fU=10−15 U1\ fU= 10^{-15}\ U
attounoShow sourceaUaUaU1×1016Derived dimensionless quantity unit in SI system. One attouno is equal to one quintillionth of uno: 1 aU=10−18 U1\ aU= 10^{-18}\ U
zeptounoShow sourcezUzUzU1×1019Derived dimensionless quantity unit in SI system. One zeptouno is equal to one sextillionth of uno: 1 zU=10−21 U1\ zU= 10^{-21}\ U
yoctounoShow sourceyUyUyU1×1022Derived dimensionless quantity unit in SI system. One yoctouno is equal to one septillionth of uno: 1 yU=10−24 U1\ yU= 10^{-24}\ U

Some facts#

  • The basic unit for expressing dimensionless quantities in the SI system is one uno:
    1U=1=11=100%1 U = 1 = \dfrac{1}{1} = 100 \%
  • In practice, however, SI units are rarely used for this purpose in favor of traditional units, often developed for the needs of a given field, e.g.:
    • percent (/0 0\mathrlap{\it{/}}{^0}_{\,0}) - equal to one hundredth of the whole (1100\frac{1}{100}), used in many fields such as finance (e.g. interest rate on deposits) or chemistry (e.g. concentration of solutions), you can find more about percentages in our other calculator: Percentage
    • permile (/0 00\mathrlap{\it{/}}{^0}_{\,00}) - equal to one thousandth of the whole (11000\frac{1}{1000}), used, for example, when determining the alcohol concentration in the blood,
    • basis point (/0 000\mathrlap{\it{/}}{^0}_{\,000}) - equal to one ten-thousandth of the whole (110000\frac{1}{10000}), used in economics and accounting,
    • pip (percentage in point) - equal to one ten-thousandth of the whole (110000\frac{1}{10000}), used to determine the change in exchange rates on foreign exchange markets (so-called FOREX),
    • tick size - equal to one thirty-second (132%\frac{1}{32}\%) or one six-quarter (164%\frac{1}{64}\%, so-called tick plus) of the percent, used when determining fluctuations bond rates on the US stock exchange,
    • ppm (parts per million) - equal to one millionth of the total (11000000\frac{1}{1000000} ), used in the natural sciences to determine very small concentrations, analogous units are also used such as ppb (parts per billion), ppq (parts per quantillion) etc.

How to convert#

  • Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
    Examples:
    • 1000000
    • 123,23
    • 999.99999
  • Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
  • And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.

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