Agriculture & Soil
Basic

Nutrient from Fertiliser

Actual nutrient delivered by a mass of fertiliser.

Formula

n=F×cn = F \times c

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Variables

nNutrient (kg)
FFertiliser (kg)
cNutrient fraction

Example

200 kg of 20-10-10: N = 200×0.20 = 40 kg

How it works

Fertiliser labels tell you what fraction of the product is a particular nutrient, such as nitrogen, phosphate, or potash. If you multiply the total fertiliser mass by that fraction, you get the actual mass of nutrient contained in it, because a fraction represents "parts per whole." For example, a 25% nutrient grade means 25 kg of nutrient in every 100 kg of fertiliser.

When to use it

Use this when you need to find how much of a nutrient is applied from a given mass of fertiliser. It is common in crop planning, nutrient budgeting, and checking application rates for nitrogen, phosphorus, or potassium.

Worked example, step by step

A farmer applies 150 kg of fertiliser that is 12% potassium. Convert the percentage to a fraction: c = 12/100 = 0.12 Use the formula: n = F × c Substitute the values: n = 150 × 0.12 Calculate: n = 18 Final answer: 18 kg of potassium is applied.

Common mistakes to avoid

  • Using the percentage value 12 instead of the fraction 0.12
  • Multiplying by the wrong nutrient label on the bag
  • Confusing the fertiliser mass with the nutrient mass

Did You Know?

The three NPK numbers on a bag are the percentages of nitrogen, phosphorus and potassium by weight.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026