Online Percent to Decimal Calculator
How to use the ‘Percent to Decimal Calculator’?
Follow the steps below to use the percent to decimal calculator:
Step 1: Enter the known measure (i.e., either the decimal or the percent) into the respective input box, and the unknown quantity will be calculated. That is,
a. If you enter the decimal value as the input, then the percent value will be calculated.
b. If you enter the percent value as the input, then the decimal value will be calculated.
Step 2: Click on the ‘Solve’ button to obtain the result.
Step 3: Click on the ‘Show Steps’ button to view the steps followed to find the solution or the missing value.
Step 4: Click on the 
button to enter new inputs and start again.
Step 5: Click on the ‘Example’ button to play with different random input values.
Step 6: When you click on the ‘Explore’ button you can visualize the relationship between percents and decimals.
Step 7: When on the ‘Explore’ page, click the ‘Calculate’ button if you want to go back to the calculator.
What is a Percent?
A number that can be written as a fraction of 100 is a percent. In other words, we can say that percent means, a part per hundred.
What is a Decimal?
When a number has an integral part and a decimal part and which is separated by a decimal point is called a decimal number.
How do We Visually Represent Decimals?
- Using a model: We have here a 10-by-10 grid. Each cell in the grid represents \(\frac{1}{100}\) of the total grid, that is, each cell is a hundredth, 0.01. Similarly, each column or row is a tenth, 0.1.
- Using a number line: 0 and 1 are marked on the number line. Each division is a multiple of tenths: 1 tenth, 2 tenths, 3 tenths and so on and each subdivision is a multiple of hundredths: 1 hundredth, 2 hundredths, 3 hundredths and so on.
How do We Convert the Values?
1. Percent to decimal
Remove the % sign and divide by 100 to get the required decimal number. An alternative to performing the division here is to shift the decimal point by two places to the left as 100 has two zeroes.
2. Decimal to percent
To get the required percent, simply multiply the given decimal by 100. An alternative to performing the multiplication here is to move the decimal point to the right by two places, as 100 has two zeroes. Then, add the % symbol.
Solved Examples
Example 1: Write 65% as a decimal.
Solution:
65% = \(\frac{65}{100}\)
= 0.65
Hence, 65% as a decimal is written as 0.65.
Example 2: Express 0.78665 as a percent.
Solution:
0.78665 × 100 = 78.665 %
Approximating to two decimal places:
= 78.67 %
Hence, 0.78665 expressed as a percent is 78.67%
Example 3: Convert \(\frac{1}{4}\) to a percent.
Solution:
\(\frac{1}{4}\) = 0.25
0.25 × 100 = 25%
Hence, \(\frac{1}{4}\) when converted to a percent is written as 25%.
The symbol ‘%’ denotes that there is 100 in the denominator of the given percentage number, when written as a fraction.
Visualization can be useful for going deeper into mathematical problems and explaining mathematical concepts and relationships in an easier way. Visualization facilitates higher-level thinking and memorization. It also helps children see the creativity in math.
Examples of decimal numbers that are a percent are: 5.65%, 78.76%, 65.43%…
We can follow the steps below to convert such a percent to a fraction:
Step 1: Divide the percent by 100 to remove the percent symbol.
Step 2: To remove the decimal point, multiply the numerator and denominator of the fraction by a power of ten with as many zeroes as the number of decimal places in the given decimal.
Step 3: To get the required answer, simplify the fraction that is obtained in the previous step.