Number into percentage converter

In mathematics, a percentage is a number or ratio that represents a fraction of Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values. P is the percentage, V 1 is the first value that the percentage will modify, and V 2 is the result of the percentage operating on V 1. The calculator provided automatically converts the input percentage into a decimal to compute the solution.

However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation. If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by in order to convert it to a percent. This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form.

The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers. Any percentage lower than is just part of the whole or total. Percentages are ratios , they can, therefore, be written as fractions and then decimals.

Converting answers from percentages to fractions to decimals can be a good exercise to check the accuracy of your work. You can convert any number to a percent. To find a percentage of a whole, you first need to know exactly what you're measuring. For instance, if 38 people in your community have library cards, and you wish to work out the percentage of library card holders in the population, you'll first need to know the total size of your community.

A percentage of a total is equal to the subset of a total divided by the total, then multiplied by If your community has people in it, you can calculate the percentage of people with a library card. First, you divide 38 by , then multiply that total by A fraction has two parts , a numerator on the top and a denominator on the bottom. Any percentage can be expressed as a fraction with the percentage value as the numerator and as the denominator.

You can use this to convert a fraction into a percentage as well. So you'll need to multiply the denominator by 4 since this will produce You then need to also multiply the numerator by the same amount. Here's another example:. If you have access to a calculator, you could also divide the numerator by the denominator and turn the fraction into a decimal. Decimals are simple to convert into percent notation. Decimals are even easier to convert into percentages. To convert a decimal into a percentage, multiply the decimal by and add the percent sign.

To multiply a decimal by , move the decimal point two digits to the right:. You can also use this method to convert decimal numbers that are larger than 1. Say you know there are 1. As before, you would multiply 1. Your number exceeds percent because you're comparing this year's book total to the total books from last year, a number represented by percent.

Since there are more books this year, that percentage is larger than You can convert percentages to decimals using the opposite operation.