Percent to Decimal Calculator

How to Convert Percent to Decimal

Converting a percentage to a decimal is a fundamental mathematical operation that's useful in various fields, including finance, statistics, and everyday calculations. This process involves expressing a fraction of 100 as a fraction of 1.

Percent to Decimal Formula

The formula to convert a percentage to a decimal is:

\[ Decimal = \frac{Percentage}{100} \]

Where:

• Percentage is the given percentage value
• 100 is the factor to convert percentage to decimal

Calculation Steps

1. Take the given percentage value
2. Divide the percentage by 100
3. The result is the decimal equivalent

Example Calculation

Let's convert 75% to a decimal.

Step 1: Identify the percentage

Percentage = 75%

Step 2: Apply the formula

\[ Decimal = \frac{75}{100} \]

Step 3: Perform the division

\[ Decimal = 0.75 \]

Step 4: Interpret the result

75% is equal to 0.75 in decimal form. This means that 75% represents 0.75 of a whole unit.

Visual Representation

This diagram illustrates how 75% (or 0.75) relates to the whole (1.0). The blue portion represents 0.75 of the entire bar, which is equivalent to 75%.