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Key Points about Converting Percents to Decimals

Converting percents to decimals is an important skill in math used in various calculations.
To convert a percent to a decimal, divide it by 100 or move the decimal point two places to the left.
Rounding errors, missing decimal points, or incorrect use of fractions can be common problems when converting percents to decimals. Practice and careful checking of results can help overcome these issues.

Here’s how to Convert Percents to Decimals

Converting percents to decimals is a fundamental skill needed for various mathematical calculations, including financial analysis, statistics, and scientific research. Percents are often used to represent ratios, proportions, and rates, but decimals are more convenient for arithmetic operations and comparisons. Therefore, it is essential to know how to convert percents to decimals accurately and quickly.

To convert a percent to a decimal, you need to divide it by 100 or move the decimal point two places to the left. For example, 25% is equivalent to 0.25 in decimal form, and 75% is equivalent to 0.75. Similarly, 1% is equivalent to 0.01, and 100% is equivalent to 1. You can also use fractions to convert percents to decimals, as a percent is just a fraction with a denominator of 100.

Converting percents to decimals is a straightforward process that requires basic arithmetic skills and knowledge of the percentage concept. However, some common problems may arise, such as rounding errors, missing decimal points, or incorrect use of fractions. Therefore, it is essential to practice converting percents to decimals and check your results carefully.

A Decimal is a number that is less than one but greater then zero. A Percent is a number that represents how many out of 100 there are. For example, when a number is said to be 40%, it means that there are 40 out of 100 in the number. A Decimal is a number that is less than one but greater then zero. When Converting a Percent to a Decimal, you have to change the decimal into a percent by dividing the decimal by 100. There is a shortcut for dividing the decimal by 100. The easiest way divide the decimal by 100 is to move the decimal place to the left two times. This is the same as dividing the number by 100 except that you do not have to do any math. Once the percent has been converted to a decimal, you have answered the problem.

Common Core Standard: 6.RP.3
Related Topics: Proportions, Equivalent Ratios, Ratio Tables, Unit Rates, Converting Decimals to Percents
Return To: Home, 6th Grade

Converting Percents to Decimals

Percents Definition in Math

What is a Percent?

A percent is a way of expressing a number as a fraction of 100. For example, 50 percent is the same as 50/100 or 0.5. The word “percent” comes from the Latin per centum, which means “by the hundred.”

What is a Decimal?

A decimal is a way of expressing a number as a fraction of 1. For example, 0.5 is the same as 5/10 or 50/100. Decimals are often used in calculations involving money, measurements, and scientific data.

How are Percentages and Decimals Related?

Percentages and decimals are related because they represent the same value in different ways. To convert a percentage to a decimal, divide the percentage by 100. For example, to convert 50 percent to a decimal, divide 50 by 100, which gives you 0.5. To convert a decimal to a percentage, multiply the decimal by 100. For example, to convert 0.5 to a percentage, multiply 0.5 by 100, which gives you 50 percent.

To convert a percent to a decimal, you can also move the decimal point two places to the left. For example, to convert 25 percent to a decimal, move the decimal point two places to the left, which gives you 0.25. To convert a decimal to a percent, you can move the decimal point two places to the right. For example, to convert 0.75 to a percent, move the decimal point two places to the right, which gives you 75 percent.

When converting a fraction to a decimal, you can divide the numerator by the denominator. For example, to convert 3/4 to a decimal, divide 3 by 4, which gives you 0.75. When converting a decimal to a fraction, you can write the decimal as a fraction with the denominator as a power of 10. For example, to convert 0.25 to a fraction, write it as 25/100, which simplifies to 1/4.

Here is an example of how to convert a percent to a decimal:

Convert 75 percent to a decimal.

75 percent is the same as 75/100 or 0.75. Therefore, 75 percent is equal to 0.75 as a decimal.

In summary, converting percents to decimals involves dividing the percent by 100 or moving the decimal point two places to the left. Decimals are a way of expressing a number as a fraction of 1, and percentages are a way of expressing a number as a fraction of 100. By understanding how to convert percents to decimals, you can perform calculations more easily and accurately.

2 Easy Methods for Converting Percentages to Decimals

Converting percentages to decimals is a fundamental skill in math that is required in various fields. Whether you are working on a math problem or calculating a discount, you will need to know how to convert percentages to decimals. There are different methods to convert percentages to decimals, and we will discuss two of them below.

Method 1: Move the Decimal Point

One easy way to convert percentages to decimals is to move the decimal point two places to the left. For example, to convert 8.5% to a decimal, you would move the decimal point two places to the left, resulting in 0.085. This method is useful when the percentage is less than 100%.

Method 2: Divide by 100

Another method to convert percentages to decimals is to divide the percentage by 100. For example, to convert 50% to a decimal, you would divide 50 by 100, resulting in 0.5. This method is useful when the percentage is greater than 100%.

To make the conversion easier, you can use a calculator or a decimal to percent calculator. The calculator will do the math for you, and you will get the answer in no time.

Here is a table that shows some common conversions from percent to decimal:

Percent	Decimal
10%	0.1
25%	0.25
50%	0.5
75%	0.75
100%	1

Remember that to convert a decimal to percent, you need to multiply the decimal by 100. For example, to convert 0.75 to a percentage, you would multiply 0.75 by 100, resulting in 75%.

In conclusion, converting percentages to decimals is a simple process that can be done in different ways. Whether you choose to move the decimal point or divide by 100, you will get the same result. With practice, you will be able to do the conversion in your head without using a calculator.

Converting Percents to Decimals Examples

Adding, Subtracting, Multiplying, and Dividing Decimals

When converting percents to decimals, it’s important to understand how to perform basic arithmetic operations with decimals. For example, to add or subtract decimals, line up the decimal points and then add or subtract as usual. To multiply decimals, ignore the decimal point and multiply as if the numbers were whole numbers. Then, count the total number of decimal places in the numbers being multiplied and place the decimal point in the answer that many places from the right. To divide decimals, shift the decimal point in the divisor (the number you’re dividing by) until it becomes a whole number. Then, shift the decimal point in the dividend (the number you’re dividing) the same number of places to the right. Finally, divide as usual.

Converting Fractions to Percentages

Converting fractions to percentages is a common task in math. To do this, simply multiply the fraction by 100 and add a percent sign. For example, to convert the fraction 3/4 to a percentage, you would multiply 3/4 by 100 to get 75%.

Rounding Decimals

Rounding decimals is a useful skill when working with numbers that have many decimal places. To round a decimal to a certain number of decimal places, look at the digit to the right of the desired decimal place. If that digit is 5 or greater, round up. If it’s less than 5, round down. For example, to round the decimal 3.4567 to two decimal places, you would look at the digit in the third decimal place (the 5). Since it’s 5 or greater, you would round up to get 3.46.

Using Decimals and Percentages in Real Life

Decimals and percentages are used in a wide variety of real-life situations, from calculating sales tax to determining the percentage of a tip at a restaurant. Knowing how to convert between decimals and percentages is essential for these types of calculations. Additionally, understanding how to round decimals can be helpful when dealing with money or other quantities that require precise calculations.

Overall, converting percents to decimals is a fundamental skill in math that is used in many different contexts. Whether you’re working with fractions, decimals, or percentages, it’s important to understand how to convert between these different forms of numbers. With practice and a good calculator, anyone can become proficient at converting percents to decimals and performing basic arithmetic operations with these numbers.

Converting Percents to Decimals Solution

5 Quick Converting Percents to Decimals Practice Problems

Converting Percents to Decimals and Fractions

When working with percentages, it is often necessary to convert them into decimals or fractions for easier calculations. Converting percents to decimals is a straightforward process that involves dividing the percent value by 100. For example, to convert 60% to a decimal, one would divide 60 by 100 to get 0.6.

Simplifying Fractions

To convert a percent to a fraction, one must first simplify the fraction to its lowest terms. For example, to convert 75% to a fraction, one would divide both the numerator and denominator by the greatest common factor, which is 25 in this case. This gives us 3/4 as the simplified fraction.

Converting Improper Fractions and Mixed Numbers

When converting a fraction to a decimal, one can use long division to divide the numerator by the denominator. For example, to convert 3/5 to a decimal, one would divide 3 by 5 to get 0.6. Similarly, to convert a mixed number to a decimal, one would first convert the mixed number to an improper fraction, and then divide the numerator by the denominator.

There are many examples of converting percents to decimals and fractions in real-life situations. For instance, when shopping, one might need to calculate the discount percentage on a sale item to determine the final price. In such cases, converting the percentage to a decimal or fraction can make the calculation much easier.

In conclusion, converting percents to decimals and fractions is an essential skill for anyone working with percentages. By following the simple steps outlined above, one can easily convert between these different forms of numbers and simplify fractions to their lowest terms.

Change Percents to Decimals Common Problems

When converting percents to decimals, there are some common problems that people encounter. This section will outline some of these problems and provide solutions for each.

1 Percent as a Decimal

Converting 1 percent to a decimal is simple. All you need to do is move the decimal point two places to the left. For example, 1 percent is equal to 0.01 as a decimal.

2 Percent as a Decimal

Converting 2 percent to a decimal is also straightforward. Again, you just need to move the decimal point two places to the left. 2 percent is equal to 0.02 as a decimal.

5 Percent as a Decimal

Converting 5 percent to a decimal is the same as before. Move the decimal point two places to the left. Therefore, 5 percent is equal to 0.05 as a decimal.

10 Percent as a Decimal

Converting 10 percent to a decimal is also very simple. You just need to move the decimal point one place to the left. 10 percent is equal to 0.1 as a decimal.

15 Percent as a Decimal

To convert 15 percent to a decimal, you need to move the decimal point one place to the left. Therefore, 15 percent is equal to 0.15 as a decimal.

20 Percent as a Decimal

Converting 20 percent to a decimal is also straightforward. You need to move the decimal point one place to the left. Therefore, 20 percent is equal to 0.2 as a decimal.

25 Percent as a Decimal

To convert 25 percent to a decimal, you need to move the decimal point two places to the left. Therefore, 25 percent is equal to 0.25 as a decimal.

50 Percent as a Decimal

Converting 50 percent to a decimal is very easy. You just need to move the decimal point one place to the left. Therefore, 50 percent is equal to 0.5 as a decimal.

75 Percent as a Decimal

To convert 75 percent to a decimal, you need to move the decimal point two places to the left. Therefore, 75 percent is equal to 0.75 as a decimal.

100 Percent as a Decimal

Converting 100 percent to a decimal is very simple. 100 percent is equal to 1 as a decimal.

FAQ about Converting Percentages to Decimals

How do you convert a percentage to a decimal?

To convert a percentage to a decimal, simply move the decimal point two places to the left and remove the percent sign. For example, to convert 25% to a decimal, move the decimal point two places to the left, which gives you 0.25.

What is the formula for converting a percent to a decimal?

The formula for converting a percent to a decimal is to divide the percent by 100. For example, to convert 50% to a decimal, divide 50 by 100, which gives you 0.5.

What is 1% as a decimal?

To convert 1% to a decimal, move the decimal point two places to the left, which gives you 0.01.

What is 5 percent as a decimal?

To convert 5% to a decimal, move the decimal point two places to the left, which gives you 0.05.

What is 10% as a decimal?

To convert 10% to a decimal, move the decimal point one place to the left, which gives you 0.1.

What is 20% as a decimal?

To convert 20% to a decimal, move the decimal point one place to the left, which gives you 0.2.

What is 100% as a decimal?

To convert 100% to a decimal, move the decimal point two places to the left, which gives you 1.0.

Converting percents to decimals is a simple process that involves moving the decimal point two places to the left and removing the percent sign. The formula for converting a percent to a decimal is to divide the percent by 100. By knowing how to convert common percentages to decimals, you can easily perform calculations involving percentages, such as finding discounts or calculating interest rates.

Watch the video explanation of our Converting Percents to Decimals Worksheet

Watch our free video on how to Convert Decimals to Percents. This video shows how to solve problems that are on our free Percent to Decimal worksheet that you can get by submitting your email above.

Watch the free Converting Percents to Decimals video on YouTube here: How to Convert Percents to Decimals Video

Video Transcript:

This video is about how to change percents to decimals. You can get the percentage to decimal worksheet used in this video for free by clicking on the link in the description below.

A percent is a number that represents a certain amount out of one hundred. If you were to say something was sixty percent that means that there are sixty out of 100. A decimal is any number that is less than one but greater than zero. Now when converting percents to decimals because percents are out of 100 it means you have to divide by 100. To convert out of the percent this percentage right here is 53 percent. In order to convert it from 53 back into a decimal we’re going to divide by 100 because this represents 53 out of 100. 53 divided by 100 is going to be 0.53. 53 percent as a decimal is 0.53.

There is a shortcut for converting percents to decimals that does not involve completing any math. If you need to change a percent into a decimal, you’re going to add a decimal point behind the whole number then you’re going to move the decimal point to the left two times. The reason you move the decimal point to the left two times is because when you divide by 100 100 has two zeros and each zero represents one time moving the decimal. after we move the decimal two times, we end up with 0.53 as our percent written as a decimal. you will notice that 0.53 is the answer for both ways of converting this percent into a decimal. Let’s do a couple practice problems on our converting percents to decimals worksheet.

The first problem on our convert percent to decimal worksheet gives us 45 percent. We have to change 45 percent into a decimal. The way we’re going to do that is we’re going to divide 45 by 100. When you divide 45 by 100 you will get 0.45. We know 45 converted to a decimal is going to be 0.45. You can also use the shortcut method which is to take 45 percent and we take our decimal point which is going to be behind the five and we’re going to move it to the left two times. It gets moved to the left two times because it represents dividing by 100 which has two zeros. After you move it to the left two times, you’ll be left with .45 as a decimal or 0.45 as a decimal and you can see that the answer is the same for whichever way that you complete the problem. This means that 45 percent is 0.45 as a decimal.

The last problem we’re going to complete on our convert percents to decimals worksheet is number seven. This problem gives us four percent and asks us to convert it to a decimal. In order to convert percents to decimals we have to divide by 100 and then 4 divided by 100 is 0.04. 4 as a decimal is 0.04. We could also use a shortcut method. Four percent and we know that in order to convert it to a decimal we have to move the decimal point to the left two times. It goes left one time, two times. We have an empty spot between the decimal point and the four this empty spot needs to be filled with the number zero as a placeholder. We know the solution is going to be 0.04 as a decimal. You will notice that once 4 has been converted to a decimal you will get 0.04 regardless of which way that you complete it. Hopefully you found this video helpful for teaching you how to convert percents to decimals. Try all the practice problems by downloading the free changing percents to decimals worksheets above.