Understanding the Percent Finer Formula

April 24, 2025 4 min read

The percent finer formula is a method used to determine the proportion of particles in a sample that are smaller than a given size. It's a fundamental concept in various fields, including:

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Essentially, it helps analyze the distribution of particle sizes within a material, crucial for predicting its behavior and suitability for specific applications.

The Basic Formula

The core of the percent finer formula is quite simple:

Percent Finer = (Weight of particles smaller than a given size / Total weight of the sample) x 100

Let's break this down:

  • Weight of particles smaller than a given size: This is the combined weight of all particles that pass through a sieve of a specific mesh size.
  • Total weight of the sample: This is the total weight of the material being analyzed.

The result, multiplied by 100, gives you the percentage of the sample that is finer than the chosen sieve size.

How It's Used: Sieve Analysis

The most common way to determine the “weight of particles smaller than a given size” is through sieve analysis. Here's how it works:

  1. A sample of the material (e.g., soil, aggregate) is dried and weighed.
  2. The sample is then passed through a series of sieves with progressively smaller openings.
  3. Each sieve retains particles larger than its opening size.
  4. The material retained on each sieve is then weighed.

From these weights, you can calculate the percent finer for each sieve size. If these steps sounds tedious, don't worry! Our easy to use percentage calculator will do all of the work for you. It helps you:

  • Find what percent of a number is
  • Figure out what percentage one number is of another
  • Calculate percentage increases or decreases

The data obtained from a sieve analysis can be plotted on a grain size distribution curve, which provides a visual representation of the material's composition. To plot this on a graph you'll need to divide the sum of all marks by 100 to arrive at a %

Percent Finer by Weight vs. Percent Finer by Count

It's important to note that "percent finer" typically refers to percent finer by weight. However, grain size can be measured other ways, such as by particle count. While less conventional, these methods exist.

The typical sieve analysis will report in percent-finer by weight, but our software will calculate %'s no matter the unit!

Beyond the Basics: Applications and Considerations

The percent finer formula and sieve analysis are vital for:

  • Soil Classification: Determining soil types based on particle size distribution, which influences drainage, water retention, and fertility. Understanding percentage is so important for farming! You can determine the percentage of loam in the soil to help the farmers know what nutrients may be lacking in their soil
  • Engineering Design: Assessing soil stability and suitability for construction projects. Is the number you're working with a % of a foundation?! Use our software to double check!
  • Quality Control: Ensuring that aggregates meet specific size requirements for concrete and asphalt mixtures.

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Calculating percentages doesn't have to be complicated. Whether you're working with particle sizes or any other type of data, our online percentage calculator is designed to make the process quick and easy. Input your numbers, and let us handle the math!