Final answer:
Percent and decimals both represent fractions, where percent is a fraction with a denominator of 100. To convert, divide the percent by 100 for a decimal, or multiply a decimal by 100 for a percent. These conversions are foundational in calculating percents.
Step-by-step explanation:
The relationship between percent and decimals is based on their representations of fractions. To convert a percent to a decimal, you write the percent value as a fraction with 100 as the denominator and then divide the numerator by the denominator. For example, to convert 75% to a decimal, you would write 75/100, which is 0.75 when divided.
Conversely, to convert a decimal to a percent, you write the decimal as a fraction, and if the fraction does not have a denominator of 100, you adjust it so that it does. Then, you can simply write this fraction as a percentage. For instance, the decimal 0.2 can be written as 20/100, which means 20%.
Calculating percents involves taking the part divided by the total and multiplying by 100. Whether you are working out what percent a number is of another, or converting fractions to percents by multiplying them by 100, the principle of percents as parts of 100 remains the same.
Learn more about Converting Percents and Decimals