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Alligation Calculator

Find how many parts of a stronger and a weaker mix you need to reach a target strength.

 

 

 

Parts high
Parts low

About this calculator

Use this calculator in pharmacy and compounding when you have two stocks, such as 90% and 40%, and you want an in-between strength such as 70%. The same method works for alcohol, cream, or any two strengths on one scale.

Alligation alternate: parts of the high strength = target − low, and parts of the low strength = high − target. Mix those parts by mass or by volume, using the same unit on both stocks. The target must sit strictly between the high and low strengths.

This is a mixing-ratio method. It does not correct for density changes, heat of mixing, or volume contraction.

High strength: The stronger of the two stocks, as a percent or any consistent strength number, for example 90.

Low strength: The weaker stock on the same scale, for example 40, or 0 if you are diluting with solvent.

Target strength: The strength you want, strictly between high and low, for example 70.

Parts high: Relative parts of the stronger stock to mix.

Parts low: Relative parts of the weaker stock to mix.