Percentage Calculator

Category: Algebra and General
- January 12, 2025
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What is p% of x?

of

y = (x × p) / 100

x is what percent of y?

of

p = (x × 100) / y

x is p% of what?

p% of what?

y = (x × 100) / p

What is x increased/decreased by p%?

Increased Decreased

y = x ± (x × p) / 100

Understanding the Percentage Calculator

The Percentage Calculator is a simple yet powerful tool designed to solve common percentage-related problems with ease. It offers four key functionalities to help users calculate percentages, find base values, determine percentage relationships, and analyze percentage increases or decreases.

Formulas Used in the Percentage Calculator

1. What is p% of x?

\[ y = \frac{x \times p}{100} \]

2. x is what percent of y?

\[ p = \frac{x \times 100}{y} \]

3. x is p% of what?

\[ y = \frac{x \times 100}{p} \]

4. What is x increased/decreased by p%?

\[ y = x \pm \frac{x \times p}{100} \]

How to Use the Percentage Calculator

The calculator is divided into four sections, each catering to a specific percentage-related question. Here's how to use each section effectively:

  • What is p% of x?

    Enter the percentage value (p) and the base value (x). The result will show the value of p% of x.

  • x is what percent of y?

    Input x and y. The result will display the percentage that x represents of y.

  • x is p% of what?

    Provide the known value x and the percentage p. The calculator will return the base value y.

  • What is x increased/decreased by p%?

    Enter the base value (x) and percentage (p). Choose whether the percentage is an increase or decrease, and the result will show the adjusted value.

Key Features

The Percentage Calculator offers the following benefits:

  • Accuracy: Perform calculations with precise formulas.
  • Simplicity: Easy-to-use interface for common percentage problems.
  • Time-Saving: Get results instantly without manual calculations.
  • Versatility: Handles a variety of percentage scenarios in one tool.

Frequently Asked Questions

What is a percentage?

A percentage is a fraction of 100. It is used to express how one quantity relates to another as a proportion.

How do I calculate percentages manually?

Use the formulas provided above. For example, to find p% of x, multiply x by p and divide by 100.

Can I calculate percentage changes?

Yes! The "What is x increased/decreased by p%?" section helps you calculate percentage increases or decreases in a value.

Why use this calculator?

This calculator simplifies percentage-related problems, reduces errors, and saves time compared to manual calculations.

Conclusion

The Percentage Calculator is a versatile and reliable tool for tackling percentage calculations. Whether you're working with financial data, analyzing metrics, or solving everyday math problems, this calculator ensures you get accurate results quickly and easily.