How To Change A Decimal To A Percentage

Decimal to Per centum

Decimal to percent conversion is one of the important calculations of commercial math and cyberbanking calculations. A decimal value can be converted into a pct value by multiplying it with 100 and placing a percent (%) symbol after it. Multiplying a decimal shifts the decimal point past two places towards the right. For case, 0.01 is 1%. Let us know more about decimal to percent in this article.

1.	What is Decimal to Per centum?
2.	How to Convert Decimal to Percent?
3.	Decimal to Percentage Chart
4.	FAQs on Decimal to Percent

What is Decimal to Percent?

Before learning most decimal to percent conversion, allow the states get-go understand the significant of decimals and percentages. The word "Decimal" is derived from the Latin word Decimus which ways one-tenth. The decimal system has a base of operations of 10. The decimal numbers are usually recognized by the dot "." between the digits called "decimal indicate". Even an integer can be expressed as a decimal by putting a decimal point after the digit in one's identify and writing 0 after that. Example: 45 = 45.0 = 45.00 = 45.000 as and then on. They are all same, equally 0 has no value after decimal hither.

The term "percent" is made up of two words 'per and cent' which ways "Out of 100". In other words, we can say that percent is the ratio calculated out of 100. So, decimal to percent conversion means to convert a decimal number to a course that is a function of 100. Let's proceed to learn how to catechumen a decimal to percentage stride-wise along with well-illustrated real-life examples.

How to Convert Decimal to Percent?

Decimals and percents are ii ways to express any number but the percentage is used for comparison of unlike quantities because the base of operations value is ever a hundred. For instance, decimal values of 0.2, 0.35, and 0.1234 if converted to percentages are xx%, 35%, and 12.34% respectively. Now we can easily evaluate the percentage values. Permit the states expect at the post-obit two quick steps to convert decimals to percentages.

• Step 1: Multiply the number by 100 by shifting the decimal point to the right by two places.
• Step 2: Add the per centum symbol (%) to information technology. Example: 0.43 = 0.43 x 100% = 43%.

So, we accept 0.43 = 0.43 x 100% = 43%. Thus nosotros have seen the conversion of decimal to a pct. Nosotros can even catechumen percent to a decimal by converting it into a fraction form and then rewriting information technology into a decimal form. Example: 45% = 45/100 = 0.45.

You can also larn nigh decimal to fraction, fraction to per centum, and percent to fraction to accept a complete understanding of these 3 concepts.

Decimal to Percent Chart

Decimal to percentage chart helps yous to quickly go the per centum values of some usually used decimal numbers. You tin utilize these values in calculations involving decimals and percents.

Yous can too employ Cuemath's online decimal to percent figurer given in the list below.

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Decimal to Per centum Examples

1. Case 1: Mark and Henry bought a donut and shared it amid themselves. Henry ate 0.4 part of information technology and the rest was eaten by Mark. Use the decimal to per centum conversion to find what per centum of the donut was eaten by each of them?

   Solution:

   Part of donut that Henry ate = 0.4. To convert a decimal to percent form we multiply it by 100%. 0.iv = 0.4 x 100% = twoscore%. The decimal has shifted to the right by two places. At present, the office of the donut eaten past Marker is 100% - twoscore%=60%. Thus, Henry ate forty% of the donut and Mark ate 60% of the donut.

2. Example 2: Daniel is struggling to find the percentage equivalent of 4.09. How can we aid him in understanding the concept of decimal to pct conversion?

   Solution: The given decimal number is iv.09. To convert a decimal to a pct, we take to multiply it by 100 and attach the percentage sign (%).
   ⇒(4.09 × 100)%
   ⇒ 409%
   Multiplying by 100 shifts the decimal indicate two places towards the right. Therefore, iv.09 = 409%.

3. Example three: Convert the given decimal numbers to percentages.
   a) 3.98
   b) 0.07625

   Solution: To convert decimal to percent, we accept to multiply information technology by 100 and adhere the percentage sign (%).
   a) 3.98 = (three.98 × 100) %
   Multiplying by 100 shifts the decimal signal two places towards the right. Therefore, three.98 = 398%.
   b) 0.07625 = (0.07625 × 100) %
   By shifting the decimal point two places towards the right, we get vii.625%. Therefore, 0.07625 = vii.625%.

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Practice Questions on Decimal to Percent

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FAQs on Decimal to Pct

What is Decimal to Percent?

Decimal to percentage conversion is very of import to larn, as, many times numbers are given in both decimal and percent grade in a single expression. So, in order to compare them or to perform any operation on them, it is necessary to convert decimals to percentages or vice-versa. Decimal to percent conversion is washed past multiplying the decimal number by 100 and attaching the per centum sign with the answer.

How do yous Catechumen Decimal to Percent?

The process to convert a decimal to a percentage value is very simple. The decimal number is to be multiplied by 100 and a % symbol has to be placed. Let'southward understand this with an example. Allow us convert 4.837 into a percentage. For the calculation we have, four.837 = 4.837 x 100%= 483.7%.

How to Catechumen Repeating Decimals to Percent?

A repeating decimal can be converted into a percentage by simply multiplying it with a 100 and applying a % symbol. The repeating decimal of 0.3333... can be converted into a decimal by multiplying by 100. Here we take 0.3333... = 0.3333... x 100% = 33.33....% or approximately 33.33%.

How to Convert Fraction to Decimal to Pct?

If a fraction is given and we take to convert it to decimal and then to pct, then we follow the given steps. Divide the numerator with the denominator to express that fraction to decimal form, and then multiply that decimal by 100 to catechumen it into a percentage. This is how we convert a fraction to decimal to a per centum. For case, If 3/4 is given, then its decimal representation is 0.75 (3 ÷ 4). Now, in order to convert it to a percent, multiply information technology past 100 and attach a percent sign. So, (0.75 × 100) % = 75%.

What is 0.006 Decimal to Percentage?

To convert 0.006 to a percent, multiply it with a 100 and place a per centum (%) symbol besides information technology. Hither 0.006 = 0.006 ten 100% = 0.half-dozen%.

Why exercise we need to Convert Decimal to Percentage?

Nosotros demand to catechumen the decimal to the percent for the purpose of comparing quantities. For instance, if we requite the decimals of 0.06, 0.32, 0.893, we will not exist able to make any meaning of the values. Further, if these decimals are converted into percentages every bit 6%, 32%, 89.3%, nosotros will exist able to easily sympathise the quantities. Too, the percentages provide the values on a simple linear scale of 100.

Source: https://www.cuemath.com/numbers/decimal-to-percent/

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