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

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Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

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

Value
Unit
Decimals

#

popular#

UnitSymbolSymbol
(plain text)
Value as symbolicValue as numericNotesUnit conversion formula
percentShow source/00\mathrlap{\it{/}}{^0}_{\,0}%Show source...\text{...}-Equvalent 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} = 0.01Show source......
permilShow source/000\mathrlap{\it{/}}{^0}_{\,00}Show source...\text{...}-Equvalent to one thousandth (1/1000) or one tenth of percent (0.1%). Permils are used, among other, to express blood alcohol levels.1/000=11000=0.001=0.1%1\mathrlap{\it{/}}{^0}_{\,00} = \frac{1}{1000} = 0.001 = 0.1\%Show source......
basis point (permyriad)Show source/0000\mathrlap{\it{/}}{^0}_{\,000}Show source...\text{...}-Equivalent 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=1/0000=110000=0.01%1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000} = \frac{1}{10000} = 0.01\%Show source......

financial#

UnitSymbolSymbol
(plain text)
Value as symbolicValue as numericNotesUnit conversion formula
basis point (permyriad)Show source/0000\mathrlap{\it{/}}{^0}_{\,000}Show source...\text{...}-Equivalent 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=1/0000=110000=0.01%1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000} = \frac{1}{10000} = 0.01\%Show source......
percentage in pointShow sourcepippippipShow source...\text{...}-Alternative name for basis point used on currency markets (FOREX). See the basis point for more information.1 pip=1 bp=1/00001\ pip = 1\ bp = 1\mathrlap{\it{/}}{^0}_{\,000}Show source......
tick size (US bonds)Show sourcetickticktickShow source...\text{...}-Equivalent 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}\%Show source......
tick size plus (US bonds)Show sourcetick+tick+tick+Show source...\text{...}-Equivalent 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)}Show source......

chemical#

UnitSymbolSymbol
(plain text)
Value as symbolicValue as numericNotesUnit conversion formula
parts per thousandShow sourceppthppthppthShow source...\text{...}-Equivalent to one permil. It's the abbreviation for parts per thousand. See the permil unit for more information.1 ppth=1/000=11000=0.1%=1031\ ppth = 1\mathrlap{\it{/}}{^0}_{\,00} = \frac{1}{1000} = 0.1\% = 10^{-3}Show source......
parts per millionShow sourceppmppmppmShow source...\text{...}-Unit 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%=1061\ ppm = \frac{1}{1\ 000\ 000} = 0.0001\% = 10^{-6}Show source......
parts per hundred millionShow sourcepphmpphmpphmShow source...\text{...}-Unit 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=106 %=1081\ pphm = \frac{1}{100\ 000\ 000} = 10^{-6}\ \% = 10^{-8}Show source......
parts per billionShow sourceppbppbppbShow source...\text{...}-Unit 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=109=107 %1\ ppb = \frac{1}{1\ 000\ 000\ 000} = 10^{-9} = 10^{-7}\ \%Show source......
parts per trillionShow sourcepptpptpptShow source...\text{...}-Unit 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=1012=1010 %1\ ppt = 10^{-12} = 10^{-10}\ \%Show source......
parts per quadrillionShow sourceppqppqppqShow source...\text{...}-Unit 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=1015=1013 %1\ ppq = 10^{-15} = 10^{-13}\ \%Show source......

SI#

UnitSymbolSymbol
(plain text)
Value as symbolicValue as numericNotesUnit conversion formula
yottaunoShow sourceYUYUYUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One yottauno is equal to septylion of uno: 1 YU=1024 U1\ YU= 10^{24}\ UShow source......
zettaunoShow sourceZUZUZUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One zettauno is equal to sextillion of uno: 1 ZU=1021 U1\ ZU= 10^{21}\ UShow source......
exaunoShow sourceEUEUEUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One exauno is equal to quintillion of uno: 1 EU=1018 U1\ EU= 10^{18}\ UShow source......
petaunoShow sourcePUPUPUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One petauno is equal to quadrillion of uno: 1 PU=1015 U1\ PU= 10^{15}\ UShow source......
teraunoShow sourceTUTUTUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One terauno is equal to trillion of uno: 1 TU=1012 U1\ TU= 10^{12}\ UShow source......
gigaunoShow sourceGUGUGUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One gigauno is equal to billion of uno: 1 GU=109 U1\ GU= 10^{9}\ UShow source......
megaunoShow sourceMUMUMUShow source...\text{...}-Derived 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}\ UShow source......
kilounoShow sourcekUkUkUShow source...\text{...}-Derived 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}\ UShow source......
hektounoShow sourcehUhUhUShow source...\text{...}-Derived 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}\ UShow source......
unoShow sourceUUUShow source...\text{...}-Base dimensionless quantity unit in SI system.Show source......
deciunoShow sourcedUdUdUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One deciuno is equal to one tenth of uno: 1 dU=0.1 U=101 U1\ dU=0.1\ U= 10^{-1}\ UShow source......
centiunoShow sourcecUcUcUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One centiuno is equal to one hundredth of uno: 1 cU=0.01 U=102 U1\ cU=0.01\ U= 10^{-2}\ UShow source......
miliunoShow sourcemUmUmUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One miliuno is equal to one thousandth of uno: 1 mU=0.001 U=103 U1\ mU=0.001\ U= 10^{-3}\ UShow source......
microunoShow sourceμU\mu UµUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One microuno is equal to one millionth of uno: 1 μU=0.000001 U=106 U1\ \mu U=0.000001\ U= 10^{-6}\ UShow source......
nanounoShow sourcenUnUnUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One nanouno is equal to one billionth of uno: 1 nU=109 U1\ nU= 10^{-9}\ UShow source......
pikounoShow sourcepUpUpUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One pikouno is equal to one trillionth of uno: 1 pU=1012 U1\ pU= 10^{-12}\ UShow source......
femtounoShow sourcefUfUfUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One femtouno is equal to one quadrillionth of uno: 1 fU=1015 U1\ fU= 10^{-15}\ UShow source......
attounoShow sourceaUaUaUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One attouno is equal to one quintillionth of uno: 1 aU=1018 U1\ aU= 10^{-18}\ UShow source......
zeptounoShow sourcezUzUzUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One zeptouno is equal to one sextillionth of uno: 1 zU=1021 U1\ zU= 10^{-21}\ UShow source......
yoctounoShow sourceyUyUyUShow source...\text{...}-Derived dimensionless quantity unit in SI system. One yoctouno is equal to one septillionth of uno: 1 yU=1024 U1\ yU= 10^{-24}\ UShow source......

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 (/00\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 (/000\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 (/0000\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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