Fertiliser application rate calculator

A fertiliser bag is labelled with the percentage of each nutrient, so the product rate is the nutrient target divided by that share.

kg N/ha
%
%
%
Product rate
750.0kg/ha
= Exact Fertiliser rate
Rate per square metre
75.00 g/m2
Product for the whole area
0.750 tonnes
Phosphate applied
75.0 kg P2O5/ha
Potash applied
75.0 kg K2O/ha
Cost per hectare
337.50
Total cost
337.50
Cost per kg of nitrogen
2.250
Show the working
  1. Area = 1
  2. Nitrogen target = 150
  3. Nitrogen in the product = 20
  4. Phosphate in the product = 10
  5. Potash in the product = 10
  6. Price per tonne = 450
  7. Product rate = 150 / (20/100) = 750
  8. Product for the whole area = 750 * 1 / 1000 = 0.75
  9. Phosphate applied = 750 * 10/100 = 75
  10. Potash applied = 750 * 10/100 = 75
  11. Cost per hectare = 750 / 1000 * 450 = 337.5
  12. Total cost = 337.5 * 1 = 337.5
  13. Cost per kg of nitrogen = 20 > 0 ? 450 / 1000 / (20/100) : 0 = 2.25
  14. Rate per square metre = 750 / 10 = 75

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • product rate = nutrient target / nutrient fraction

    NPK labels give nitrogen as N but phosphorus as P2O5 and potassium as K2O, which are oxides rather than elements. Multiply P2O5 by 0.436 for elemental P and K2O by 0.830 for elemental K.

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