Calculate percentage strength for w/v, w/w, v/v, dilution, and 1RM training loads from solute, volume, mass, or reps with unit conversions.

Percentage Strength Calculator

Select a tab, then enter the known values and click Calculate.

% w/v
% w/w
% v/v
Dilution
1RM %
Optional: used with reps if 1RM is blank.

Related Calculators

Percentage Strength Formula

The following formulas are used to calculate percent concentration. Choose the one that matches the convention you are using (% w/v, % w/w, or % v/v).

\begin{aligned}
\%\, (w/v) &= \frac{m_{\text{solute}}}{V_{\text{solution}}}\times 100 \\
\%\, (w/w) &= \frac{m_{\text{solute}}}{m_{\text{solution}}}\times 100 \\
\%\, (v/v) &= \frac{V_{\text{solute}}}{V_{\text{solution}}}\times 100
\end{aligned}

Variables:

  • Mass of Solute - The mass of the solute that is dissolved in the solution (commonly expressed in grams for % w/v or % w/w).
  • Volume of Solute - The volume of the solute (commonly expressed in milliliters for % v/v).
  • Volume of Solution - The total volume of the solution (solute + solvent), commonly expressed in milliliters for % w/v and % v/v.
  • Mass of Solution - The total mass of the solution (solute + solvent), commonly expressed in grams for % w/w.

For % w/v, the result represents grams of solute per 100 mL of solution; for % w/w, grams of solute per 100 g of solution; and for % v/v, milliliters of solute per 100 mL of solution.

What is Percentage Strength?

Percentage strength is a way to express solution concentration as a percent using a specified convention. The most common conventions are % w/v (weight per volume), % w/w (weight per weight), and % v/v (volume per volume). For example, 5% w/v means 5 g of solute per 100 mL of solution, while 5% w/w means 5 g of solute per 100 g of solution.

How to Calculate Percentage Strength?

The following steps outline how to calculate the percentage strength of a solution.

  1. Choose the percent convention you need: % w/v, % w/w, or % v/v.
  2. Measure the corresponding solute amount (mass for % w/v or % w/w; volume for % v/v).
  3. Measure the corresponding solution amount (solution volume for % w/v or % v/v; solution mass for % w/w).
  4. Use the matching formula and multiply by 100 to express the ratio as a percent.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem :

Use the following variables as an example problem to test your knowledge (example shown for % w/v).

Mass of Solute (grams) = 5 grams

Volume of Solution (milliliters) = 250 milliliters, so Percentage Strength (% w/v) = (5 ÷ 250) × 100 = 2% w/v.