Converting Percent to Decimal: A Detailed Guide

Converting Percent to Decimal: A Detailed Guide

Understanding Percentages

A percentage represents a fraction of a whole. One percent indicates one part out of every hundred parts. For instance, 10% means ten parts out of every hundred: [\frac{1}{10}=\frac{1}{100}=0.1,%.]

Converting Percentages to Decimals

To convert a percentage to a decimal, simply remove the percent symbol % and place the decimal point before the last digit, moving it two positions to the left. For example, to convert 30% to a decimal, we get (0.3). If the decimal value starts with a leading zero, retain it. For instance, to convert 2.5% to a decimal, we obtain (0.025).

Steps to Convert Percentages to Decimals

1. Remove the percent sign %.
2. Place the decimal point exactly two positions to the left of the remaining digits.

Converting Fraction Percentages to Decimals

To convert a fraction percentage, such as (2/3,%), follow these steps:

1. Convert the fraction to a decimal, if necessary. For example, (2/3=0.666666\dots).
2. Remove the decimal point and place it exactly two positions to the left of the remaining digits.

For instance, to convert (2/3,%) to a decimal, we first convert (2/3) to (0.666666\dots), then remove the decimal point and place it two positions to the left, yielding (0.02).

Examples

1. Convert (100,%) to a decimal: (100,%=1).
2. Convert (25,%) to a decimal: (25,%=0.25).
3. Convert (15,%) to a decimal: (15,%=0.15).

Conclusion

Converting percentages to decimals simplifies arithmetic operations and ensures accuracy when dealing with percentages. By following the steps outlined above, you can confidently convert any percentage to its decimal equivalent.