Formulation

Dilution maths: supplied strength and the final blend

Keep bottle strength, the amount weighed and the complete trial mass separate, with a worked example and an interactive arithmetic check.

The amount you weigh from a bottle is not always the amount of the named ingredient that reaches your blend. Keep the supplied preparation, its stated strength and the total trial mass separate, and the arithmetic becomes much easier to follow.

Start with the basis on the label

A percentage needs a basis. A preparation described as 10% by mass contains a nominal 10 parts of the specified ingredient in every 100 parts of that preparation by mass. A percentage by volume describes a different quantity. If the listing does not identify the basis, check it before using a mass-based calculation.

Here, every percentage is by mass, often written % w/w. We use grams throughout. The calculation does not convert millilitres or drops into grams, and it does not infer density, purity or the composition of an undisclosed mixture.

Three things to write down

  • The exact supplied preparation and its stated percentage basis.
  • The mass of that preparation entered in the trial.
  • The total mass of the complete trial, including any carrier.

For example, “Material A, 10% w/w preparation, 2.000 g added to a 100.000 g trial” is a much clearer record than “Material A, 2%”. The shorter entry leaves the next reader guessing whether 2% means the preparation or the nominal named ingredient.

Follow one entry through the calculation

This is an illustrative arithmetic exercise. Material A is fictional, and these numbers are not a perfume recipe or a suggested use level.

A 100 g paper exercise

2 g of a 10% w/w preparation

On a narrow screen, scroll the diagram sideways to read every label.

2.000 g supplied10% w/w preparation0.200 g named ingredient1.800 g remaining preparationWithin a 100.000 g total trial
  1. Find the nominal ingredient mass. 2.000 g × 10 ÷ 100 = 0.200 g.
  2. Divide by the complete trial mass. 0.200 g ÷ 100.000 g × 100 = 0.200% w/w.
  3. Keep the remaining preparation in the total. The other 1.800 g still contributes to the 100.000 g trial.

The supplied preparation accounts for 2% of this trial by mass. The nominal named ingredient accounts for 0.2%. Both statements can be correct, but they describe different things.

If you enter a pre-diluted preparation as though it were undiluted, a later comparison or scale-up can be misleading. That is why an ingredient line should retain its preparation strength instead of keeping only the trade name.

Try your own numbers

Use this only when the preparation strength is stated by mass and the named component is known. The result is an arithmetic check, not a suitability, solubility or finished-product safety assessment.

Example: 0.200 g nominal named ingredient; 0.200% w/w of the complete trial. 1.800 g remaining preparation.

Make the next trial reproducible

Keep separate columns for the preparation as supplied and any calculated nominal ingredient contribution. Record the carrier when it is identified, the batch or lot reference available to you, the date, the target total mass and the mass actually achieved.

A nominal strength is not an independent purity test. The calculator uses the value you enter and does not verify the supplier’s specification or tell you what other constituents are present. Keep the original listing and relevant supplier information with the record.

Scroll sideways to see every column when needed.

An example entry, not a formula
RecordExampleWhy keep it?
Supplied identityMaterial A, 10% w/w preparationDistinguishes the preparation from the named ingredient.
Mass added2.000 gShows what was actually weighed.
Complete trial100.000 gDefines the denominator of the percentage.
Calculated contribution0.200 g; 0.200% w/wMakes the nominal ingredient basis explicit.

Four mix-ups worth checking

  • 10% preparation versus 10% in the trial. A bottle strength and a formula entry are different percentages.
  • Grams versus millilitres. This mass-based example does not make them interchangeable.
  • Rounding too early. Retain the recorded precision during the calculation and round the displayed result consistently with your measurement.
  • Arithmetic versus suitability. A correct percentage does not establish that the materials dissolve, remain stable or are appropriate for an intended use.

Next, use a clear batch record and compare one change at a time. For wider context, read our beginner perfumery guide and cloudy-dilution troubleshooting guide.