How to Convert a Decimal to Percent:
Multiply by 100 to convert a number from decimal to percent then add a percent sign %.
- Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.
- Example: 0.10 becomes 0.10 x 100 = 10%
- Example: 0.675 becomes 0.675 x 100 = 67.5%
- The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.
How to Convert a Percent to a Decimal:
Divide by 100 to convert a percent to a decimal and remove the percent sign %.
- Converting from a percent to a decimal is done by removing the percent sign % and dividing the value by 100.
- Example: 15.6% becomes 15.6 / 100 = 0.156
- Example: 235% becomes 235 / 100 = 2.35
- The shortcut to convert from a percent to a decimal is to move the decimal point 2 places to the left and remove the percent sign.
Example
Decimal to Percent Conversion
A decimal to percent conversion is the process of changing a decimal number into its equivalent percentage. The goal of converting a decimal to a percentage is to express the decimal as a part of 100.
The general approach to converting a decimal to a percent includes:
- Recognizing the decimal number.
- Multiplying the decimal by 100.
- Adding the percent symbol (%).
Converting a Simple Decimal to Percent
A simple decimal conversion involves multiplying the decimal number by 100 to express it as a percentage. The general method is:
\[ \text{Decimal} \times 100 = \text{Percent} \]Example:
If the decimal is \( 0.25 \), the conversion is:
- Step 1: Multiply by 100: \( 0.25 \times 100 = 25 \).
- Step 2: Add the percent symbol: \( 25\% \).
Converting a Decimal Greater Than One
When the decimal is greater than 1, you follow the same process to convert it to a percentage.
\[ \text{Decimal} \times 100 = \text{Percent} \]Example:
If the decimal is \( 2.5 \), the conversion is:
- Step 1: Multiply by 100: \( 2.5 \times 100 = 250 \).
- Step 2: Add the percent symbol: \( 250\% \).
Converting Fractions to Percent
Fractions can also be converted to percentages by first converting the fraction to a decimal and then applying the multiplication by 100.
Example:
If the fraction is \( \frac{3}{4} \), the solution is:
- Step 1: Convert the fraction to a decimal: \( \frac{3}{4} = 0.75 \).
- Step 2: Multiply by 100: \( 0.75 \times 100 = 75 \).
- Step 3: Add the percent symbol: \( 75\% \).
Real-life Applications of Decimal to Percent Conversion
Converting decimals to percentages has many practical applications, such as:
- Determining the percentage of a discount in shopping or sales (e.g., applying a 25% discount on a product).
- Calculating interest rates in finance (e.g., a savings account interest rate of 5% per year).
- Understanding completion percentages in various tasks or projects (e.g., 0.5 as 50% completion).
Common Operations in Decimal to Percent Conversion
Decimal to Percent: \( \text{Decimal} \times 100 = \text{Percent} \)
Modifying the Percent: If working with large numbers, it's common to work with decimals with more than two decimal places. You can round the result to the desired precision.
| Problem Type | Description | Steps to Convert | Example |
|---|---|---|---|
| Simple Decimal to Percent | Converting a decimal number to a percentage. |
|
For the decimal \( 0.25 \), multiply by 100 to get \( 25\% \). |
| Decimal Greater Than One | Converting decimals greater than 1 into a percentage. |
|
For the decimal \( 2.5 \), multiply by 100 to get \( 250\% \). |
| Converting a Fraction to Percent | Converting a fraction to a percentage. |
|
For the fraction \( \frac{3}{4} \), divide 3 by 4 to get \( 0.75 \), then multiply by 100 to get \( 75\% \). |
| Real-life Applications | Applying decimal to percent conversion in practical scenarios. |
|
If a price of an item is $80 and a 25% discount is offered, the decimal equivalent of 25% is \( 0.25 \). Multiply by the price to calculate the discount amount: \( 80 \times 0.25 = 20 \). |
