What is Percent to Decimal Conversion?
To convert a percent to decimal, divide the percentage value by 100 and remove the
Check out the Percent to Decimal Calculator available online. It converts any percentage value into a decimal instantly!
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What Is a Percent?
“Percent” means “per 100.” A percent means a fraction with denominator 100.
1% is equal to “one hundredth” or
30% is equal to “thirty hundredths” or
We use percentages to represent parts out of 100 equal parts.
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What Is a Decimal?
A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some fractional part.
Percent to Decimal Conversion: Definition
Percent to decimal conversion is a method of converting a percent value to decimal value by dividing the percentage by 100 and removing the
Division by 100 shifts the decimal point two positions to the left. Thus, to convert percent to decimal, simply shift the decimal point two positions to the left and remove the
Example 1: Convert 15 percent to decimal.
Note that
Example 2: Convert 10 percent to decimal.
Try to visualize such percent to decimal conversions on a number line. Need help? Take a look at the image below!
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How to Convert Percentage into Decimal
Let’s understand the steps to convert percentage into decimal.
Step 1: Remove the percentage sign
Step 2: Shift the decimal point two places towards the left.
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Example 1: Convert
Example 2: Convert
Shift the decimal point two places to the left. Remove the % sign.
So,
Example 3: Convert
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How to Convert Fraction Percent into Decimal
A percent given in the fractional form, such as
Step 1: The is given in the mixed fraction form. So, we will convert it to an improper fraction first.
If it already exists in the fraction form, go to step 2.
Step 2: Convert the given fraction to a decimal by dividing the numerator with the denominator.
Here,
Thus,
Step 3: Remove the percent sign and shift the decimal point two places to the left.
In this case, we get
Percent to Decimal Chart
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Percent to Decimal Conversion: Visual Example
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Solved Examples on Percent to Decimal Conversion
1. Convert
Solution:
Remove the percent sign and divide the number by 100. To get the answer, shift the decimal point.
2. What will be the decimal value for
Solution:
Remove the percent sign. Shift the decimal point two places towards the left.
3. Mark ate 30% of the apple pie while Sherry ate
Solution: There is one apple pie, so the whole is 1. Now, Mark ate
The portion of the cake left is
Therefore, 0.5 portions of the apple pie is left.
4. Convert
Solution:
So,
Remove the percent sign and divide 2.5 by 100.
Shifting the decimal point two places towards the left, we get
Practice Problems on Percent to Decimal Conversion
Percent to Decimal: Definition with Examples
On converting into decimal, we get
The decimal value for is _______.
When is converted into a decimal, we get
Kim completed of a task and Jim completed of the same task. How much portion of work is left in decimals?
Work done by Kim
Work done by Jim
Portion of work left
On converting into a decimal, we get
Convert 10 percent to decimal.
Frequently Asked Questions on Percent to Decimal Conversion
What operation is Involved in converting percent to decimal?
The operation involved in converting percentages to decimals is division. To do the conversion, we divide the number given in percent form by 100 to find its decimal equivalent.
How to convert decimal to percent?
For converting decimal to percent, we multiply the decimal value by 100.
Which percent can be represented as 1?
How to convert percent to decimal to fraction?
Firstly, we remove the percent sign and divide the number by 100 and get the decimal form. Then, convert the decimal into the fraction form.