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Percentage Calculator

Enter the percentage and the total value to calculate the percentage of a number.

Enter the part value and the total value to calculate what percentage the part is of the total.

Enter the initial and final values to calculate the percentage increase or decrease.

Understanding Percentage

A percentage is a dimensionless number (pure number); it has no unit of measurement. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a number or ratio that represents a fraction of 100. It is often used to express a proportionate part of a total.

Usage of Percentage

Percentages are used to express how large or small one quantity is relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero. The percentage calculator is a very handy tool for calculating these quantities and is being used widely in every domain.

How to Calculate Percentage

Understanding how to calculate percentages is a crucial skill that's often used in daily life, from interpreting discounts in a supermarket to evaluating financial investments. Let's delve into the concept and learn about calculating percentages in a simple, straightforward manner.

What is a Percentage?

Before learning the calculation, let's understand what a percentage is. A percentage is a ratio expressed as a fraction of 100. It's denoted by the symbol '%', and it essentially tells you 'how much out of 100'.

How to Calculate Percentage?

The basic formula to calculate the percentage is: (Part/Whole) * 100 = Percentage.

Here's how you can use this formula:

  • Identify the whole or total amount of what you want to find a percentage for. This will be the denominator in your fraction.
  • Identify the part of the total you are interested in. This will be the numerator in your fraction.
  • Create a fraction with the part (numerator) and whole (denominator).
  • Divide the numerator by the denominator.
  • Multiply the result by 100 to get the percentage.

Example of Percentage Calculation

Suppose you scored 18 points on a test, and the total points were 20. To find out the percentage of the score:

  • Your total score (part) = 18
  • Total points on the test (whole) = 20
  • So, the fraction of the score = 18/20
  • Divide 18 by 20, which equals 0.9.
  • Multiply 0.9 by 100, and your percentage score on the test is 90%.

Percentage Increase or Decrease

To calculate the percentage increase or decrease, subtract the initial quantity from the final quantity, divide that by the initial quantity, and then multiply by 100 to get the percentage.

Conclusion

Percentages are a fundamental part of everyday life. From calculating grades, understanding interest rates, to interpreting statistical data, the applications are endless. It's a mathematical concept that is easily understandable and very practical. The more you practice, the more comfortable you'll become with calculating percentages. A percentage calculator can be a handy tool for quick computations, but it's equally important to understand the process behind the calculation.