Fertilizer Calculator

How much fertilizer to apply from the N-P-K on the bag — per 1,000 sq ft, per acre or per hectare — plus the pounds of nitrogen, phosphate and potash you are actually adding, bags needed, NPK ratios and grades, lime rates and a fertilizer-to-ppm mode for liquids.

To find how much fertilizer to apply, divide the pounds of nitrogen you want per 1,000 sq ft by the nitrogen percentage on the bag (as a decimal) — e.g. 1 lb N ÷ 0.10 for a 10-10-10 means 10 lb of product per 1,000 sq ft. The common mistake: do not confuse pounds of product with pounds of actual nitrogen — the bag is mostly carrier.

Mode
Units
Area to fertilize
Bag grade (N-P-K, %)
Target application rate
e.g. 1 lb N per 1,000 sq ft is a common single lawn feed; check a soil test or local extension for your real target.
Editable example only — not a quote. Needs a bag weight to total.

Follow the label rate. Over-application can burn turf and run off into waterways; rates should come from a soil test or your local extension — this tool just does the math once you have a target.

A math aid only. Grades and chemical formulas shown are typical commodity values — always read your actual product label, which is the legal statement of what is in the bag. Rates should come from a soil test or local extension. Cost figures are editable examples, not quotes.

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What this fertilizer calculator does — and its lane

This is the nutrient-rate tool: it answers how much of this N-P-K product do I apply, and how much nitrogen, phosphate and potash does that actually deliver. It owns fertilizer rate, NPK grade and ratio, lime and amendment rate, and solution ppm. It is not a soil-volume tool — for compost or topsoil in cubic yards, use the soil calculator, and for plain area and volume math the cubic-yards calculator. Whether you write it fertilizer or fertiliser, work per 1,000 sq ft, per 1,000 square feet, per acre or per hectare, the four modes above cover it.

How much fertilizer do I need?

The honest friction this fixes — the “%N trap.” The number you want to apply is usually pounds of nitrogen, but the bag is sold as pounds of product, and only a fraction of that product is nitrogen. People multiply when they should divide, or treat “1 lb N” as 1 lb of fertilizer. The fix is one division:

product per 1,000 sq ft = (lb N you want per 1,000 sq ft) ÷ (N% ÷ 100)
total product = product per 1,000 × (area in ft² ÷ 1,000)
lb N applied = product × N%/100  ·  lb P₂O₅ = product × P%/100  ·  lb K₂O = product × K%/100

So 1 lb N per 1,000 sq ft from a 10-10-10 is 1 ÷ 0.10 = 10 lb of product per 1,000 sq ft; over a 5,000 sq ft lawn that is 50 lb. From a 50 lb bag of 26-5-10 at the same 1 lb N, you need 1 ÷ 0.26 = 3.85 lb per 1,000 sq ft, and one bag covers about 50 ÷ 3.85 × 1,000 ≈ 13,000 sq ft. The Rate mode does all of this and shows the phosphate and potash you are adding alongside.

How much fertilizer per acre (and per 1,000 sq ft)

Recommendations arrive in different units — pounds per 1,000 square feet, pounds per acre, or kilograms per hectare — but the arithmetic is the same. To convert a per-1,000-sq-ft figure to a per-acre figure, multiply by 43.56, because an acre is 43,560 sq ft. So the 10 lb of 10-10-10 per 1,000 sq ft above is 10 × 43.56 = 435.6 lb per acre. Metric users can read kg per hectare directly. The same chain answers “how much urea per acre,” “how many 50 kg bags per hectare of maize,” or “how much 19-19-19 per acre” — set the grade, set the target, and switch the rate basis.

You haveTo getMultiply by
lb / 1,000 sq ftlb / acre43.56
lb / acrekg / hectare1.1209
lb / 1,000 sq ftkg / hectare48.83
tons / acrelb / 1,000 sq ft45.91

NPK ratio and what the numbers mean

The three numbers are the percentage by weight of nitrogen (N), phosphate (P₂O₅) and potash (K₂O). A 10-10-10 is 10% of each by weight; a 50 lb bag therefore holds 5 lb each of N, phosphate and potash, and the rest is carrier. The NPK ratio is that grade simplified — 10-10-10 reduces to 1-1-1, and 24-8-16 to 3-1-2 — which is what lets you compare two products that feed in the same proportion at different strengths. The grade-and-ratio mode shows the simplified ratio, the pounds of each nutrient per 100 lb and per bag, and a side-by-side compare of two grades.

P₂O₅ vs P, and K₂O vs K

One quiet source of error: labels in the US report phosphorus as P₂O₅ (phosphate) and potassium as K₂O (potash), not as the elements. Plants take up elemental P and K, and many soil tests and research papers report those, which are smaller numbers. To convert, multiply P₂O₅ by 0.4364 to get elemental P, and K₂O by 0.8301 to get elemental K (divide to go back). So an 11-52-0 phosphate fertilizer is about 11-23-0 in elemental terms. The elemental toggle in the ratio and ppm modes does this for you.

Common fertilizer grades and formulas

These are typical commodity grades with their chemical formulas — useful for the “chemical formula for fertilizer” and “formula of DAP / MAP / MOP / SOP” questions — but the actual percentages are always whatever your bag’s label states, so read that. DAP, MAP, MOP, SOP, SSP, TSP, urea, AN and AMS below are generic fertilizer types, not products.

TypeTypical gradeChemical formula
Urea46-0-0CO(NH₂)₂
Ammonium nitrate (AN)34-0-0NH₄NO₃
Ammonium sulfate (AMS)21-0-0(NH₄)₂SO₄
Calcium nitrate15.5-0-0Ca(NO₃)₂
Diammonium phosphate (DAP)18-46-0(NH₄)₂HPO₄
Monoammonium phosphate (MAP)11-52-0NH₄H₂PO₄
Triple superphosphate (TSP)0-46-0Ca(H₂PO₄)₂
Single superphosphate (SSP)0-20-0
Muriate of potash (MOP)0-0-60KCl
Sulfate of potash (SOP)0-0-50K₂SO₄

Typical grades for reference; the bag label is the legal statement of analysis — use those numbers in the calculator.

Mixing two products: the resulting grade

Want a rough blend? In the grade-and-ratio mode you can read two grades side by side; if you physically mix equal weights of two products, the blended grade is just the weight-average of each number. This is a quick check, not a full inverse blend solver — for a precise prescription blend, a supplier or agronomist runs the formulation.

Lime and soil amendment rates

The lime mode turns a rate you already have into a total and a bag count. The rate has to come from a soil test, a buffer-pH reading or your local extension — the amount of lime to move soil pH depends on the soil, and no calculator can guess it from nothing. You can enter your own rate in lb per 1,000 sq ft, tons per acre or kg per hectare, or start from a clearly labelled, fully editable soil-texture guide and adjust it. The tool then multiplies rate by area; it never reproduces a copyrighted soil-test or buffer-pH rate table.

Fertilizer to ppm for liquid and hydroponics

For liquid feeding and hydroponics the question flips to concentration: how many ppm of N, P and K does a given mass of fertilizer in a given volume of water give — or, working backwards, how many grams hit a target ppm. Because 1 ppm = 1 mg/L:

ppm (mg/L) = (mass in g × 1000 × nutrient%/100) ÷ volume in L
mass in g = (target ppm × volume in L) ÷ (10 × nutrient%)

So 10 g of a 20-20-20 in 5 L gives (10 × 1000 × 0.20) ÷ 5 = 400 ppm N. Flip the elemental toggle if your recipe is written in elemental P and K rather than P₂O₅ and K₂O.

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Frequently asked questions

How do I calculate how much fertilizer to apply?

Divide the amount of nitrogen you want by the nitrogen percentage on the bag, written as a decimal. For 1 lb N per 1,000 sq ft from a 10-10-10, that is 1 ÷ 0.10 = 10 lb of product per 1,000 sq ft; multiply by your area in thousands of square feet for the total. The Rate mode above does this and also shows the phosphate and potash you are adding and how many bags you need.

Why does the fertilizer math always seem confusing — the “%N trap”?

Because the rate you are given (say 1 lb of nitrogen) is in actual nutrient, but the bag is sold in total product, and only the label percentage of that product is the nutrient. The instinct is to apply 1 lb of fertilizer, or to multiply by the percentage, when the correct step is to divide the wanted nutrient by the decimal percentage. Confusing pounds of product with pounds of nitrogen is the single most common mistake, and it is exactly what this calculator removes.

How much fertilizer do I need per acre?

Work out the per-1,000-sq-ft amount first, then multiply by 43.56 (an acre is 43,560 sq ft). So 10 lb of 10-10-10 per 1,000 sq ft is about 436 lb per acre. To express it as kilograms per hectare, multiply the per-acre figure by 1.1209. The Rate mode shows all three at once, so you can answer “how much per acre” and “how many 50 kg bags per hectare” together.

How much urea (46-0-0) do I need per acre?

Urea is about 46% nitrogen, so divide the nitrogen you want by 0.46. To apply 50 lb of actual N per acre you need 50 ÷ 0.46 ≈ 109 lb of urea per acre; for paddy or other crops, use whatever N target your extension or soil test gives. Enter 46-0-0 as the grade, set the target on nitrogen, and switch the basis to per acre.

What does the NPK ratio mean, and what is the formula for DAP, MAP, MOP or SOP?

The NPK numbers are the percent by weight of nitrogen, phosphate (P₂O₅) and potash (K₂O); the ratio is that grade simplified, so 10-10-10 is 1-1-1 and 24-8-16 is 3-1-2. As generic types, DAP is typically 18-46-0 with the formula (NH₄)₂HPO₄, MAP about 11-52-0 (NH₄H₂PO₄), MOP (muriate of potash) about 0-0-60 (KCl), and SOP (sulfate of potash) about 0-0-50 (K₂SO₄). Those are typical — your bag’s label is the real analysis.

Why is phosphorus written as P₂O₅ and not P?

By convention, fertilizer labels report phosphorus as phosphate (P₂O₅) and potassium as potash (K₂O) rather than as the elements, while nitrogen is reported as N. Plants use elemental P and K, and many soil tests do too, so to compare you convert: P₂O₅ × 0.4364 gives elemental P, and K₂O × 0.8301 gives elemental K. The elemental toggle on the grade and ppm modes switches between the two.

How do I turn an NPK fertilizer into ppm for hydroponics?

Use ppm = (grams of fertilizer × 1000 × nutrient%/100) ÷ litres of water, since 1 ppm equals 1 mg/L. For example 10 g of 20-20-20 in 5 L is 400 ppm N. The Solution / ppm mode does this forward, or solves the inverse (grams needed for a target ppm), and can show P and K as elemental rather than as oxides if your recipe calls for it.

How much lime do I need, and can this tell me without a soil test?

No — the rate has to come from a soil test, a buffer-pH reading or your local extension, because the lime needed to shift pH depends on the soil. Once you have a target rate, the lime mode multiplies it by your area and gives the total and a bag count. You can enter the rate in lb per 1,000 sq ft, tons per acre or kg per hectare, or start from an editable soil-texture guide and adjust.

Is this the same as a soil or gravel calculator?

No. This calculator handles fertilizer nutrient rate — how much product, and the N-P-K it delivers. For compost, topsoil or raised-bed mix by volume in cubic yards and bags, use the soil calculator; for plain area and volume conversions, the cubic-yards calculator; and for stone by the ton, the gravel calculator.