Agriculture, Livestock & Landscaping Feed, Hay, Forage & Rations Feed:gain ratio, as-fed and dry matter basis

Feed Conversion Ratio (FCR) Calculator

Feed conversion ratio is the pounds of feed it takes to put on one pound of live weight, and it is the number that decides whether a pen of animals makes money. This calculator works it out from your closeout records — total feed delivered, in and out weights, head count and days on feed — then restates it on a dry matter basis so pens fed different moistures can be compared, converts it to feed efficiency, and prices the feed cost of every pound of gain at your own feed cost.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
Total feed consumed by the groupFeed actually delivered to the pen over the whole period, as fed, net of any feed removed.360000 lb
Starting weight per headAverage in-weight per animal on the same scale and shrink basis as the out-weight.750 lb
Ending weight per headAverage out-weight per animal; use the same shrink convention you used on the in-weight.1350 lb
Number of animalsHead that ate this feed; use the average count if the pen changed size.100 head
Days on feedCalendar days from the in-weight to the out-weight.150 days
Feed dry matterDry matter of the delivered ration; used to restate the ratio on a dry matter basis.87 %
Feed priceDelivered cost of the ration on the same as-fed basis as the feed weight above.240 $/ton

It returns

  • Feed conversion ratio (as fed) — Pounds of feed as delivered per pound of live-weight gain.
  • Feed conversion ratio (dry matter)
  • Feed efficiency (gain per lb of feed)
  • Feed cost per pound of gain
  • Feed per head per day (as fed)
  • Average daily gain
  • Total live-weight gain

The formula

FCR=feed consumedlive-weight gain
cost of gain=FCRprice per ton2000
FCRDM=FCRas fedDM%100

In plain text: FCR = total feed consumed ÷ total live-weight gain

  • FCRFeed conversion ratio, feed weight per unit of gain (dimensionless)
  • feed consumedTotal feed delivered to the group over the period (lb)
  • live-weight gain(end weight − start weight) × head (lb)

FCR is a ratio of two weights, so it carries no units and is the same number in pounds or kilograms. It is only comparable between groups when the moisture basis and the weighing convention are the same.

Updated Category Feed, Hay, Forage & Rations Verified against published test cases Reading time 10 min

What feed conversion ratio measures

Feed conversion ratio answers one question: how many pounds of feed did it take to add one pound of live weight? Divide total feed by total gain and you have it. A pen of steers that ate 360,000 lb of ration and gained 60,000 lb has an FCR of 6.0, meaning six pounds of feed bought each pound of gain.

The ratio matters because feed is normally the largest single variable cost in a livestock enterprise, and because FCR multiplies straight into money. Feed cost of gain is nothing more than FCR times the price of a pound of feed. If your ration costs $240 a ton, that is $0.12 a pound, so an FCR of 6.0 means $0.72 of feed in every pound of gain. Shave the ratio to 5.7 and the same ration buys that pound for $0.684 — a saving of 3.6 cents per pound, or $21.60 on a steer that gains 600 lb.

Two conventions travel with the number and you must state both. The first is moisture basis: an as-fed ratio and a dry matter ratio for the same pen differ by the dry matter fraction, so a wet ration always shows a larger as-fed number than the same nutrition delivered dry. The second is direction: feed conversion ratio is feed ÷ gain, so lower is better, while feed efficiency is its reciprocal, gain ÷ feed, so higher is better. Poultry and swine work almost universally in FCR; some cattle records report gain-to-feed. This calculator reports both so there is no ambiguity.

The arithmetic and the three conversions around it

The core formula is deliberately simple; the care goes into what you put in it.

Total gain. Multiply gain per head by head count: (out weight − in weight) × animals. Both weights must use the same shrink convention. Cattle weighed off pasture full and weighed in again after an overnight stand differ by several percent of body weight for reasons that have nothing to do with growth, and a two-percent shrink difference on a 1,350 lb steer is 27 lb, which is 4.5% of a 600 lb gain and moves the ratio by the same proportion.

Total feed. Everything delivered to that group, as fed, over the same window. Feed removed and fed elsewhere comes out. Feed in the bunk on the last day is a judgement call that should be made the same way at the start and the end so the two errors cancel.

Dry matter restatement. Multiply the as-fed ratio by the dry matter fraction. This is the only way to compare a corn-silage-based feedlot ration at 55% dry matter with a dry pelleted diet at 89%. Two pens with identical dry matter conversion will show as-fed ratios differing by the ratio of their dry matters, and neither pen is doing anything differently.

Cost of gain. Multiply FCR by the price of a pound of feed. Feed price per ton divided by 2,000 gives price per pound. Note that this is feed cost of gain, not total cost of gain: yardage, health, interest and death loss are separate lines and this calculator does not touch them.

Worked example: a 100-head feedlot pen over 150 days

One hundred yearling steers go in at an average of 750 lb and out at 1,350 lb after 150 days. The bunk records show 360,000 lb of a total mixed ration delivered, tested at 87% dry matter, costing $240 a ton delivered.

  1. Gain per head. 1,350 − 750 = 600 lb.
  2. Total gain. 600 × 100 = 60,000 lb.
  3. Feed conversion ratio. 360,000 ÷ 60,000 = 6.000 lb of feed per lb of gain.
  4. Dry matter basis. 6.000 × 0.87 = 5.220. This is the figure to compare against another yard's closeout.
  5. Feed efficiency. 1 ÷ 6.000 = 0.1667 lb of gain per lb of feed.
  6. Feed price per pound. $240 ÷ 2,000 = $0.12.
  7. Feed cost of gain. 6.000 × $0.12 = $0.72 per pound, so $432 of feed in each steer's 600 lb of gain.
  8. Feed per head per day. 360,000 ÷ (100 × 150) = 24.0 lb as fed, which is 24.0 × 0.87 = 20.9 lb of dry matter.
  9. Average daily gain. 600 ÷ 150 = 4.00 lb per day.

Now test the ration price. At $210 a ton the cost of gain is 6.000 × $0.105 = $0.63; at $280 a ton it is 6.000 × $0.14 = $0.84. Across a 600 lb gain that spread is $126 a head from feed price alone, at an unchanged conversion ratio — which is why buying feed well and converting feed well are two separate problems.

How to read the number you get

The only comparison that means anything is against your own history on the same species, the same weight range, the same ration moisture and the same weighing convention. FCR rises with body weight in every growing animal, because maintenance takes a larger share of intake as the animal gets bigger and because later gain contains more fat, which costs more energy per pound to deposit than lean tissue does. A pen finished to a heavier out-weight will therefore show a poorer whole-period ratio than the same cattle sold lighter, and that is biology, not management.

Species sit in very different places for the same reason. Fish and poultry, which are young, small and lean at slaughter, convert far more tightly than finished cattle. Comparing across species tells you about physiology; comparing within a species and weight range tells you about your operation.

When a ratio moves between closeouts, work through the inputs before you conclude anything about the animals. Was the in-weight taken on the same shrink? Did feed for a second pen get charged to this one? Did the ration moisture change without the dry matter being re-tested? Only once those are clean is the difference a real biological signal, at which point the usual causes are ration energy density, health events, weather and implant or feed-additive strategy.

Feed cost of gain by conversion ratio and feed price

Every cell is FCR × price per ton ÷ 2,000, in dollars of feed per pound of live-weight gain.
FCR (as fed)$180/ton$240/ton$300/ton$360/ton
1.5$0.135$0.180$0.225$0.270
2.0$0.180$0.240$0.300$0.360
3.0$0.270$0.360$0.450$0.540
4.0$0.360$0.480$0.600$0.720
5.0$0.450$0.600$0.750$0.900
6.0$0.540$0.720$0.900$1.080
7.0$0.630$0.840$1.050$1.260
8.0$0.720$0.960$1.200$1.440

Feed only. Yardage, veterinary cost, interest, death loss and marketing are not included, so this is a floor under the true cost of gain rather than the whole of it.

Mistakes that corrupt a conversion ratio

  • Mixing moisture bases. Comparing an as-fed ratio from a silage ration with a dry matter ratio from a pelleted one is the most common error in the whole subject. State the basis every time you quote a number.
  • Inconsistent shrink on the scale. Weighing in full and out shrunk inflates the apparent gain; the reverse deflates it. Use one convention and record it with the closeout.
  • Charging the wrong feed to the pen. Loads split between groups, refusals moved to another pen and feed left in the bunk at closeout all belong to somebody, and the ratio is only as clean as the accounting.
  • Forgetting mortality. Animals that died ate feed but contributed no out-weight. Decide whether you are reporting a deads-in or deads-out ratio and label it.
  • Reading FCR as efficiency. A larger FCR is a worse result; a larger feed efficiency is a better one. They are reciprocals, so 6.0 and 0.1667 are the same fact.
  • Comparing across weight ranges. Whole-period ratios from pens finished to different out-weights are not directly comparable, because the ratio for any single increment of gain worsens as the animal gets heavier.

Related measures and where to go next

FCR is one of three numbers that describe the same closeout, and each answers a different question. Average daily gain tells you how fast; the average daily gain calculator isolates it. Feed conversion tells you how efficiently. Cost of gain tells you what it was worth. A pen can gain quickly and convert poorly if it is being pushed on an expensive ration, and a pen can convert beautifully while gaining too slowly to pay yardage.

Two refinements are worth knowing. Residual feed intake compares an animal's actual intake with the intake predicted from its size and growth, and it separates genetic feed efficiency from the effect of body weight in a way FCR cannot. Feed efficiency on a carcass basis divides feed by carcass gain rather than live gain, which removes the distortion caused by differing dressing percentages and gut fill.

To set the intake side of the equation before a pen closes out, use the dry matter intake calculator. To build the ration itself from two ingredients, use the Pearson square feed ration calculator. If the feed is hay coming off your own ground, the hay tonnage per acre calculator tells you whether you have enough of it.

Frequently asked questions

Is a lower or higher feed conversion ratio better?

Lower is better. FCR is feed divided by gain, so a smaller number means fewer pounds of feed bought each pound of gain. Feed efficiency is the reciprocal, gain divided by feed, and there higher is better. An FCR of 6.0 and a feed efficiency of 0.167 describe exactly the same pen. Always say which measure you are quoting, because a bare number like "our efficiency was 6" is ambiguous.

Should I calculate FCR on an as-fed or dry matter basis?

Use dry matter whenever you are comparing groups fed different rations, and as-fed when you are pricing a specific delivered feed. The two differ by the dry matter fraction: an as-fed ratio of 6.0 on an 87% ration is 5.22 on a dry matter basis. Publish both if you can, and never compare an as-fed figure from one operation with a dry matter figure from another.

Why does FCR get worse as animals get heavier?

Two reasons compound. Maintenance requirement scales with body size, so a bigger animal spends more of each day's intake simply staying alive before any gain happens. And later gain contains a higher proportion of fat, which takes considerably more energy per pound to deposit than lean tissue. Both effects push feed per pound of gain upward through the feeding period, which is why marginal cost of gain rises toward the end of a finishing programme.

Can feed conversion ratio be less than 1.0?

Yes, in aquaculture. Fish fed a dry pellet gain live weight that is roughly three-quarters water while the feed is nearly all dry matter, so ratios below 1.0 on an as-fed basis are normal and expected. For cattle, pigs and poultry on a conventional dry or moist ration, a value below 1.0 almost always means the feed weight, the head count or the weighing basis is wrong, and the calculator flags it.

How do I handle animals that died during the period?

Decide on one convention and label it. A "deads-out" ratio removes dead animals from both the head count and the gain but leaves their feed in, which is the honest economic view because that feed was genuinely spent. A "deads-in" ratio credits their gain up to the day of death, which flatters the ratio. Whichever you pick, apply it consistently or your own year-on-year comparison becomes meaningless.

Does this include yardage, health costs and interest?

No. The cost figure here is feed cost of gain only. Total cost of gain adds yardage, veterinary and processing, interest on the cattle and the feed, death loss and marketing. Feed is usually the largest component, but a full closeout needs all of them; use this number as the feed line inside a fuller budget rather than as the whole answer.

What feed weight should I enter if some feed was left in the bunk?

Handle the opening and closing bunk inventory the same way, so the two errors offset. The cleanest method is to weigh or estimate the feed standing in the bunk on day one and on the final day, and add the difference to delivered feed. If you cannot, at least close the pen out on a day when the bunk is clean, which makes the residual zero by construction.

How much does a 0.1 improvement in FCR save?

It saves 0.1 × feed price per pound on every pound of gain. At $240 a ton, feed costs $0.12 a pound, so 0.1 of FCR is 1.2 cents per pound of gain — $7.20 on a steer that gains 600 lb, or $720 across a 100-head pen. The same arithmetic at $360 a ton gives 1.8 cents per pound and $1,080 on the pen, so the value of an efficiency gain scales directly with feed price.

References

  • Nutrient Requirements of Beef Cattle, Eighth Revised Edition — National Academies of Sciences, Engineering, and Medicine
  • Nutrient Requirements of Swine, Eleventh Revised Edition — National Research Council, National Academies Press
  • Nutrient Requirements of Poultry, Ninth Revised Edition — National Research Council, National Academies Press
  • Ag Decision Maker: Livestock Enterprise Budgets and Cost of Gain — Iowa State University Extension and Outreach