Percent to Decimal Calculator

Category: Algebra and General
- May 14, 2025
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Convert between percentages, decimals, and fractions with this calculator. Simply enter a value in any of the fields to see the equivalent values in other formats.

Enter a Value

%

Display Options

Conversion Results

Percentage
75%
Per hundred (100)
Decimal
0.75
Multiplier value
Fraction
3/4
Simplified form

Common Applications

Discount Calculation

For a 75% discount on $100:

$100 × 0.75 = $75.00

Ratio Comparison

3/4 of a quantity means 75%

In a class of 20 students, that's 15 students

About Percentages, Decimals, and Fractions

Percentages, decimals, and fractions are different ways to express the same value or proportion. Converting between these formats is a common mathematical operation.

Conversion Formulas:
  • Percentage to Decimal: Divide the percentage by 100 (or move the decimal point two places to the left)
  • Decimal to Percentage: Multiply the decimal by 100 (or move the decimal point two places to the right)
  • Fraction to Percentage: Divide numerator by denominator, then multiply by 100
  • Fraction to Decimal: Divide numerator by denominator
  • Decimal to Fraction: Express the decimal as a fraction over powers of 10, then simplify
Common Conversions:
Percentage Decimal Fraction
25% 0.25 1/4
50% 0.5 1/2
75% 0.75 3/4
33.33% 0.3333... 1/3
66.67% 0.6667... 2/3
20% 0.2 1/5

Convert Between Percentages, Decimals, and Fractions with Ease

Conversion Formulas:
Percentage to Decimal: \( \text{Decimal} = \frac{\text{Percentage}}{100} \)
Decimal to Percentage: \( \text{Percentage} = \text{Decimal} \times 100 \)
Fraction to Decimal: \( \text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}} \)
Fraction to Percentage: \( \text{Percentage} = \frac{\text{Numerator}}{\text{Denominator}} \times 100 \)

What Is the Percent to Decimal Calculator?

This calculator is a simple and practical tool that converts values among percentages, decimals, and fractions. It's useful for students, teachers, professionals, or anyone needing quick and accurate number format conversions.

Why Use This Tool?

Understanding how to convert between percentages, decimals, and fractions is a key skill in math. This tool helps by making those conversions instant and error-free. It's also helpful when working with Other tools like a Percent Error Calculator or a Fraction Calculator, where precision and format conversion are essential.

How to Use the Calculator

  • Enter a value into any one of the input fields: percentage, decimal, or fraction.
  • The other fields will automatically update to show equivalent values.
  • Use the dropdown menu to choose how many decimal places to display.
  • Check or uncheck the box to simplify fractions.
  • Click the "Convert" button to update the results, or "Reset" to start over.

Features and Benefits

  • Instant conversion between three common number formats.
  • Choose the number of decimal places for more accurate results.
  • Simplify fractions with a single click.
  • Helpful examples show real-life applications like discounts and ratios.

Who Can Benefit From This Calculator?

  • Students working on homework involving fractions, percentages, or decimals.
  • Teachers explaining math concepts clearly.
  • Shoppers calculating discounts or tax quickly.
  • Professionals needing precise and fast percentage conversions.

Example Use Cases

  • Calculate a 25% discount: enter 25% to find the decimal value and apply it to a price.
  • Convert 0.625 to a fraction: input the decimal to get "5/8".
  • Understand that "1/3" is roughly 33.33% for comparisons or calculations.

Frequently Asked Questions (FAQ)

Can I use this to convert percentages to fractions?
Yes, just enter the percentage value and the calculator will display the simplified fraction automatically.



What if I only have a decimal?
No problem—enter the decimal, and the tool will convert it to both percentage and fraction forms.



Does it simplify fractions?
Yes. By default, the "Simplify fractions" box is checked. You can uncheck it if needed.



Is this the same as a Percent Error Calculator?
Not exactly. This tool converts formats, while a Percent Error Calculator is used to measure how far off a value is from the expected result. Still, both tools complement each other when understanding accuracy and values in percentage form.



What if my fraction isn't simplified?
The calculator will simplify it for you automatically, unless you choose not to by unchecking the box.

Why This Tool Is Helpful

This calculator takes the guesswork out of conversions. Whether you’re learning how to calculate percent error, solving fraction problems, or applying decimal calculations in everyday situations, this tool gives you reliable, fast answers. It's a perfect companion alongside other math tools like the Scientific Calculator, Rounding Calculator, or Matrix Solver.