**Contents**hide

- What is ppm?
- Parts-per notations
- Chemical concentration
- Frequency stability
- Decimal, percent, permille, ppm, ppb, ppt conversion calculator
- PPM conversions
- How to convert ppm to decimal fraction
- How to convert decimal fraction to ppm
- How to convert ppm to percent
- How to convert percent to ppm
- How to convert ppb to ppm
- How to convert ppm to ppb
- How to convert milligrams/liter to ppm
- How to convert grams/liter to ppm
- How to convert moles/liter to ppm
- How to convert ppm to Hz
- ppm to ratio, percent, ppb, ppt conversion table

### What is ppm?

**ppm** is an abbreviation of parts per million. ppm is a value that represents the part of a whole number in units of 1/1000000.

**ppm** is dimensionless quantity, a ratio of 2 quantities of the same unit.

For example: mg/kg.

One ppm is equal to 1/1000000 of the whole:

1ppm = 1/1000000 = 0.000001 = 1×10^{-6}

One ppm is equal to 0.0001%:

1ppm = 0.0001%

**ppmw** – abbreviation of parts per million weight, a subunit of ppm that is used for part of weights like milligrams per kilogram (mg/kg).

**ppmv** – abbreviation of parts per million volume, a subunit of ppm that is used for part of volumes like milliliters per cubic meter (ml/m3).

### Parts-per notations

Other part-per notations are written here:

Name | Notation | Coefficient |

Percent | % | 10^{-2} |

Per-mile | ‰ | 10^{-3} |

Parts per million | ppm | 10^{-6} |

Parts per billion | ppb | 10^{-9} |

Parts per trillion | ppt | 10^{-12} |

### Chemical concentration

ppm is used to measure chemical concentration, usually in a solution of water.

Solute concentration of 1 ppm is solute concentration of 1/1000000 of the solution.

The concentration *C* in ppm is calculated from the solute mass m_{solute} in milligrams and the solution mass m_{solution} in milligrams.

*C*_{(ppm)} = 1000000 × *m _{solute}* / (

*m*+

_{solution}*m*)

_{solute}Usually the solute mass m_{solute} is much smaller than the solution mass m_{solution}.

*m _{solute} ≪ m_{solution}*

Then the concentration C in ppm is equal to 1000000 times the solute mass msolute in milligrams (mg) divided by the solution mass msolution in milligrams (mg):

*C*_{(ppm)} = 1000000 × *m*_{solute (mg)} / *m*_{solution (mg)}

The concentration *C* in ppm is also equal to the solute mass *m _{solute}* in milligrams (mg) divided by the solution mass

*m*in kilograms (kg):

_{solution}*C*_{(ppm)} = *m*_{solute (mg)} / *m*_{solution (kg)}

When the solution is water, the volume of mass of one kilogram is approximately one liter.

The concentration *C* in ppm is also equal to the solute mass *m _{solute}* in milligrams (mg) divided by the water solution volume

*V*in liters (l):

_{solution}*C*_{(ppm)} = *m*_{solute (mg)} / *V*_{solution (l)}

**Concentration of CO _{2}**

The concentration of carbon dioxide (CO_{2}) in the atmosphere is about 388ppm.

### Frequency stability

The frequency stability of an electronic oscillator component can be measured in ppm.

The maximal frequency variation * Δf*, divided by the frequency

**is equal to the frequency stability**

*f*Δ*f*_{(Hz)} / *f*_{(Hz)} = *FS*_{(ppm)} / 1000000

**For example**

Oscillator with frequency of 64MHz and accuracy of ±400ppm, has frequency accuracy of

Δ*f*_{(Hz)} = ±400ppm × 64MHz / 1000000 = ±25.6kHz

So the oscillator produces clock signal within the range of 64MHz±25.6kHz.

The supplied frequency variation is caused from temperature change, aging, supply voltage and load changes.

### Decimal, percent, permille, ppm, ppb, ppt conversion calculator

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### PPM conversions

### How to convert ppm to decimal fraction

The part ** P** in decimal is equal to the part

**in ppm divided by 1000000:**

*P**P _{(decimal)} = P_{(ppm) }*/ 1000000

**For example**

Find the decimal fraction of 500ppm:

*P*_{(decimal)} = 300ppm / 1000000 = 0.0005

### How to convert decimal fraction to ppm

The part * P* in ppm is equal to the part

*in decimal times 1000000:*

**P***P*_{(ppm)} = *P*_{(decimal)} × 1000000

**For example**

Find how many ppm are in 0.0073:

*P*_{(ppm)} = 0.0073 × 1000000 = 7300ppm

### How to convert ppm to percent

The part * P* in percent (%) is equal to the part

**in ppm divided by 10000:**

*P**P*_{(%)} = *P*_{(ppm)} / 10000

**For example**

Find how many percent are in 6ppm:

*P*_{(%)} = 9ppm / 10000 = 0.0009%

### How to convert percent to ppm

The part * P* in ppm is equal to the part

**in percent (%) times 10000:**

*P**P*_{(ppm)} = *P*_{(%)} × 10000

**For example**

Find how many ppm are in 6%:

*P*_{(ppm)} = 9% × 10000 = 90000ppm

### How to convert ppb to ppm

The part * P* in ppm is equal to the part

*in ppb divided by 1000:*

**P***P*_{(ppm)} = *P*_{(ppb)} / 1000

**For example**

Find how many ppm are in 9ppb:

*P*_{(ppm)} = 9ppb / 1000 = 0.009ppm

### How to convert ppm to ppb

The part * P* in ppb is equal to the part

*in ppm times 1000:*

**P***P*_{(ppb)} = *P*_{(ppm)} × 1000

**For example**

Find how many ppb are in 8ppm:

P_{(ppb)} = 8ppm × 1000 = 8000ppb

### How to convert milligrams/liter to ppm

The concentration ** C** in parts-per million (ppm) is equal to the concentration

*in milligrams per kilogram (mg/kg) and equal to 1000 times the concentration*

**C***in milligrams per liter (mg/L), divided by the solution density*

**C****in kilograms per cubic meter (kg/m**

*ρ*^{3}):

*C*_{(ppm)} = *C*_{(mg/kg)} = 1000 × *C*_{(mg/L)} / *ρ*_{(kg/m3)}

In water solution, the concentration * C* in parts-per million (ppm) is equal to 1000 times the concentration

*in milligrams per liter (mg/L) divided by the water solution density at temperature of 20ºC, 998.2071 in kilograms per cubic meter (kg/m*

**C**^{3}) and approximately equal to the concentration

*in milligrams per liter (mg/L):*

**C***C*_{(ppm)} = 1000 × *C*_{(mg/L)} / 998.2071_{(kg/m3)} ≈ *1*_{(L/kg)} × *C*_{(mg/L)}

### How to convert grams/liter to ppm

The concentration ** C** in parts-per million (ppm) is equal to 1000 times the concentration

*in grams per kilogram (g/kg) and equal to 1000000 times the concentration*

**C****in grams per liter (g/L), divided by the solution density**

*C**in kilograms per cubic meter (kg/m*

**ρ**^{3}):

*C*_{(ppm)} = 1000 × *C*_{(g/kg)} = 10^{6} × *C*_{(g/L)} / *ρ*_{(kg/m3)}

In water solution, the concentration * C* in parts-per million (ppm) is equal to 1000 times the concentration C in grams per kilogram (g/kg) and equal to 1000000 times the concentration

**in grams per liter (g/L), divided by the water solution density at temperature of 20ºC 998.2071 in kilograms per cubic meter (kg/m**

*C*^{3}) and approximately equal to 1000 times the concentration

**in milligrams per liter (mg/L):**

*C**C*_{(ppm)} = 1000 × *C*_{(g/kg)} = 10^{6} × *C*_{(g/L}) / 998.2071_{(kg/m3)} ≈ 1000 × *C*_{(g/L)}

### How to convert moles/liter to ppm

The concentration * C* in parts-per million (ppm) is equal to the concentration

**in milligrams per kilogram (mg/kg) and equal to 1000000 times the molar concentration (molarity)**

*C***in moles per liter (mol/L), times the solute molar mass in grams per mole (g/mol), divided by the solution density**

*c**in kilograms per cubic meter (kg/m3):*

**ρ***C*_{(ppm)} = *C*_{(mg/kg)} = 10^{6} × *c*_{(mol/L)} × *M*_{(g/mol)} / *ρ*_{(kg/m3)}

In water solution, the concentration ** C** in parts-per million (ppm) is equal to the concentration

**in milligrams per kilogram (mg/kg) and equal to 1000000 times the molar concentration (molarity)**

*C***in moles per liter (mol/L), times the solute molar mass in grams per mole (g/mol), divided by the water solution density at temperature of 20ºC 998.2071 in kilograms per cubic meter (kg/m**

*c*^{3}):

*C*_{(ppm)} = *C*_{(mg/kg)} = 106 × *c*_{(mol/L)} × *M*_{(g/mol)} / 998.2071_{(kg/m3)} ≈ 1000 × *c*_{(mol/L)} × *M*_{(g/mol)}

### How to convert ppm to Hz

The frequency variation in hertz (Hz) is equal to the frequency stability ** FS** in ppm times the frequency in hertz (Hz) divided by 1000000:

Δ*f*_{(Hz)} = ± *FS*_{(ppm)} × *f*_{(Hz)} / 1000000

**For example**

Oscillator with frequency of 64MHz and accuracy of ±400ppm, has frequency accu0racy of

Δ*f*_{(Hz)} = ±400ppm × 64MHz / 1000000 = ±25.6kHz

So the oscillator produces clock signal within the range of 64MHz±25.6kHz.

### ppm to ratio, percent, ppb, ppt conversion table

Parts-per million (ppm) | Coefficient / Ratio | Percent (%) | Parts per billion (ppb) | Parts per trillion (ppt) |

1 ppm | 1×10^{-6} | 0.0001% | 1000 ppb | 1×10^{6} ppt |

2 ppm | 2×10^{-6} | 0.0002% | 2000 ppb | 2×10^{6} ppt |

3 ppm | 3×10^{-6} | 0.0003% | 3000 ppb | 3×10^{6} ppt |

4 ppm | 4×10^{-6} | 0.0005% | 4000 ppb | 4×10^{6} ppt |

5 ppm | 5×10^{-6} | 0.0005% | 5000 ppb | 5×10^{6} ppt |

6 ppm | 6×10^{-6} | 0.0006% | 6000 ppb | 6×10^{6} ppt |

7 ppm | 7×10^{-6} | 0.0007% | 7000 ppb | 7×10^{6} ppt |

8 ppm | 8×10^{-6} | 0.0008% | 8000 ppb | 8×10^{6} ppt |

9 ppm | 9×10^{-6} | 0.0009% | 9000 ppb | 9×10^{6} ppt |

10 ppm | 1×10^{-5} | 0.0010% | 10000 ppb | 1×10^{7} ppt |

20 ppm | 2×10^{-5} | 0.0020% | 20000 ppb | 2×10^{7} ppt |

30 ppm | 3×10^{-5} | 0.0030% | 30000 ppb | 3×10^{7} ppt |

40 ppm | 4×10^{-5} | 0.0040% | 40000 ppb | 4×10^{7} ppt |

50 ppm | 5×10^{-5} | 0.0050% | 50000 ppb | 5×10^{7} ppt |

60 ppm | 6×10^{-5} | 0.0060% | 60000 ppb | 6×10^{7} ppt |

70 ppm | 7×10^{-5} | 0.0070% | 70000 ppb | 7×10^{7} ppt |

80 ppm | 8×10^{-5} | 0.0080% | 80000 ppb | 8×10^{7} ppt |

90 ppm | 9×10^{-5} | 0.0090% | 90000 ppb | 9×10^{7} ppt |

100 ppm | 1×10^{-4} | 0.0100% | 100000 ppb | 01×10^{8} ppt |

200 ppm | 2×10^{-4} | 0.0200% | 200000 ppb | 2×10^{8} ppt |

300 ppm | 3×10^{-4} | 0.0300% | 300000 ppb | 3×10^{8} ppt |

400 ppm | 4×10^{-4} | 0.0400% | 400000 ppb | 4×10^{8} ppt |

500 ppm | 5×10^{-4} | 0.0500% | 500000 ppb | 5×10^{8} ppt |

1000 ppm | 0.001 | 0.1000% | 1×106 ppb | 1×10^{9} ppt |

10000 ppm | 0.010 | 1.0000% | 1×107 ppb | 1×10^{10} ppt |

100000 ppm | 0.100 | 10.0000% | 1×108 ppb | 1×10^{11} ppt |

1000000 ppm | 1.000 | 100.0000% | 1×109 ppb | 1×10^{12} ppt |