Alligation Calculator

Find mixing parts to reach a target concentration.

Parts of lower 8

Parts of higher 7

Formula: parts low = high − target ; parts high = target − low

Step-by-step with your numbers:

1. Values used:

2. Lower concentration = 5 %

3. Higher concentration = 20 %

4. Target concentration = 12 %

6. Parts of lower = 8

7. Parts of higher = 7

Did we solve your problem today?

Alligation finds the ratio to mix two strengths into a target strength.

The math behind it

parts of the lower solution = high − target; parts of the higher = target − low.

5% and 20% to make 12% → 8 parts of 5% : 7 parts of 20%.

Target out of range?

It must fall between the two source concentrations.