Hop Utilization (Tinseth)

Find the Tinseth utilization for a boil gravity and time.

How it is calculated

The tool uses the Tinseth model, which multiplies two factors: utilization = 1.65 × 0.000125(SG − 1) × (1 − e−0.04 × t) ÷ 4.15. SG is the boil gravity as a decimal (1.050) and t is the time the hops stay in the boil, in minutes. The first part, the bigness factor, shrinks as gravity rises; the second, the time factor, rises towards a ceiling the longer the boil. Dividing by 4.15 scales the product so the answer is the fraction of alpha acids isomerized, shown as a percentage with two decimals. A time of zero gives 0.00 %. Gravity must be between 0.980 and 1.200 and the time cannot be negative; otherwise there is no result. The output is the utilization only: it is not IBU, which also needs alpha-acid percentage, hop weight and batch volume.

Worked example

A 60 minute bittering addition in a wort with a boil gravity of 1.050. Bigness factor: 1.65 × 0.0001250.05 = 1.65 × 0.638 ≈ 1.053. Time factor: (1 − e−2.4) ÷ 4.15 = (1 − 0.0907) ÷ 4.15 ≈ 0.2191. Multiply: 1.053 × 0.2191 ≈ 0.2307, displayed as 23.07%. Reducing the time to 10 minutes drops the figure to 8.36%, and raising the gravity to 1.080 at 60 minutes lowers it to 17.62%.

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Common mistakes

  • Entering the gravity as points, for example 1050 or 50. The field takes the decimal SG, 1.050, and values like 1050 or 50 are outside the accepted 0.980 to 1.200 range and show no result.
  • Entering the original gravity of the full batch when the hops boil in a partial-volume or concentrated wort. Use the gravity of the wort actually boiled with the hops.
  • Treating the percentage as IBU. This tool gives only the utilization; IBU also depends on alpha acid, grams and litres.
  • Entering the total boil length for a late addition. The time is how long the hops spend in the boil, so a 5 minute flavour addition is 5, not 60, and using 60 gives a far higher figure.
  • Applying it to dry-hop or whirlpool additions. The formula describes isomerization during a boil only.

About this calculator

The Tinseth formula, developed by Glenn Tinseth and the most widely used hop-utilization model among homebrewers, estimates what fraction of a hop addition’s alpha acids actually isomerize into bittering compounds during the boil. It multiplies two factors: a “bigness factor” that falls as boil gravity rises (higher-gravity worts extract bitterness less efficiently), and a “boil time factor” that climbs toward a ceiling the longer the hops boil, since utilization increases with time but with diminishing returns.

Homebrewers use the resulting utilization percentage to calculate IBUs (International Bitterness Units) contributed by each hop addition — combining alpha-acid percentage, hop weight, batch volume, boil gravity and boil time — which is essential for hitting a recipe’s target bitterness, since the same hop amount added at 60 minutes contributes far more bitterness than the same amount added at 10 minutes.

Boil gravity and boil time go in, and the Tinseth utilization percentage for that addition comes out.

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