Skip to main content
Mathovia

Science / Chemistry

PPM Calculator

Enter the part value and the whole (total) to calculate the concentration in parts per million (ppm).

Parts Per Million
5.0000 ppm
Percent
5.000000e-4 %
Parts Per Billion
5,000.00 ppb
002.50507.50100ppm%5 ppm0 %
The same concentration read as parts per million and as a percent.

PPM = (Part ÷ Whole) × 1,000,000. Both values must be in the same unit (e.g., mg/mg, g/g, mL/mL).

Written by
MPhil in Mathematics, Founder of Mathovia
Updated

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

PPM Calculator formula
The PPM formula

What ppm measures

Parts per million answers a simple question: out of a million equal parts of the whole mixture, how many are the substance you care about? It’s a fraction, scaled up by a million instead of by a hundred the way percent is. That scaling is the whole point — trace concentrations that would be unreadable strings of zeros in percent become clean two- and three-digit numbers in ppm. A drinking-water chlorine residual of 0.0002% is the same thing as 2 ppm, and 2 ppm is what gets written on the log sheet.

The ppm formula

The “part” is the amount of the substance; the “whole” is the total amount of mixture, solute included. Both must be in the same unit — grams with grams, milligrams with milligrams, millilitres with millilitres — because ppm is a pure ratio with the units cancelling out.

Worked example

The calculator’s defaults are a part of 5 and a whole of 1,000,000.

A real-world version: a 500 g water sample is found to hold 0.025 g of dissolved salt.

And in the other direction — how much solute is in a known volume at a known ppm? For 400 ppm in 2 L of water (2,000 g):

Reading ppm at a glance

part in wholeppmas percent
1 g in 1,000,000 g10.0001%
1 mg in 1 kg10.0001%
1 g in 1 kg1,0000.1%
1 mL in 1,000 L10.0001%
1 teaspoon in 1,300 gallons≈ 10.0001%

Where the calculation is used

  • Water testing. Hardness, chloride, nitrate, and disinfectant residuals from a measured solute mass and sample size.
  • Hydroponics and aquariums. Dosing nutrients or salts to a target ppm in a known tank volume.
  • Food and beverage. Additive and preservative levels against a batch weight.
  • Soil and agriculture. Element concentrations from a lab digestion.
  • Air quality. Contaminant volume in a sampled air volume (a by-volume ppm).

Common mistakes

  • Mismatched units — dividing milligrams by litres. Convert first, or treat the water as 1 g/mL on purpose.
  • Using solvent mass as the whole instead of total solution mass. Fine when dilute, wrong when concentrated.
  • Multiplying by 100 (that’s percent) or by 1,000 (that’s per-thousand).

For converting an existing ppm figure into other units, use the ppm converter. For the mass-per-volume form, see ppm to mg/L.

Dosing to a target ppm

Rearranging the formula tells you how much to add. A hydroponic reservoir holds 20 L of water (20,000 g) and needs 150 ppm of nitrogen:

If the fertilizer is 20% nitrogen by mass, you need g of fertilizer. Forgetting that last step is the usual reason a reservoir comes out at a fifth of its target.

Diluting a stock solution

To make a weaker solution from a stronger one, use . To make 500 mL of a 20 ppm standard from a 1,000 ppm stock:

Measure 10 mL of stock and top it up to 500 mL with water. For a big dilution like this, doing it in two steps (1,000 to 100, then 100 to 20) is usually more accurate than pipetting a tiny volume.

ppm in air

For gases, ppm is by volume. Outdoor carbon dioxide at about 420 ppm means 420 mL of CO₂ in every cubic metre of air, since one cubic metre is 1,000,000 mL. Indoor readings above about 1,000 ppm are a common sign that a room needs more ventilation.

About the formula: PPM = (Part ÷ Whole) × 1,000,000. Both values must be in the same unit (e.g., mg/mg, g/g, mL/mL).

Frequently Asked Questions

What does ppm mean?+

Parts per million expresses a small proportion: 1 ppm is 1 unit of substance per 1,000,000 units of total. That's 1 mg in a kg, 1 g in a tonne, or 1 mL in 1,000 L.

How do I calculate ppm from a mass?+

Divide the mass of solute by the total mass of solution, then multiply by 1,000,000. 0.03 g of salt in 600 g of water is (0.03 ÷ 600) × 1,000,000 = 50 ppm.

Do part and whole have to be in the same unit?+

Yes. ppm is a pure ratio, so mg goes with mg, grams with grams, mL with mL. Mixing mg with litres only works if you're treating the solution as water (density 1).

Is the whole the solute plus solvent, or just the solvent?+

Solute plus solvent — the total solution. In dilute solutions the difference is tiny, but for a concentrated mix, using solvent-only overstates the ppm.

Is 1 ppm the same as 1 mg/L?+

For water, yes. Strictly, ppm is mg/kg (mass per mass); mg/L is mass per volume. They match when a litre of solution weighs a kilogram.

How is ppm different from molarity?+

ppm is a mass ratio and needs no molar mass. Molarity is moles per litre. Converting requires the solute's molar mass and the solution density.

Related calculators