How To Change A Percent Into A Decimal

Percentage to Decimal

Per centum to decimal conversion is done by shifting the decimal betoken to two places towards the left and removing the per centum sign (%). For case, if 1% is given, its decimal conversion is 0.01. Let's understand how the procedure of converting percentage to decimal in this article by following two simple steps.

1.	Converting Percent to Decimal
two.	How to Catechumen Fraction Percentage to Decimal?
3.	Percent to Decimal Chart
4.	FAQs on Percent to Decimal

Converting Percent to Decimal

Per centum is a ratio or a fraction in which the whole is e'er taken as 100. And so, 3% means three parts out of 100, and x% means 10 parts out of 100. While a decimal is a form of writing numbers in precise form using a decimal bespeak. For instance, 3.five ways three full parts and one half (0.5) part. It is very important to learn the conversion of a pct to decimal as a percent is not an absolute form of a number. We need to convert it into decimal to perform arithmetic operations on information technology. Let usa learn the method to convert percent to decimal pace-wise. To convert a percent to decimal, follow the steps given below:

• Step 1: Remove the percentage sign (%).
• Stride 2: Put a decimal point by taking two jumps from the correct side towards the left.

For instance, allow us convert 30% to a decimal. 30% tin can exist written equally 30 without the percent sign. Now, it is a whole number and so consider the decimal betoken at the right end. thirty is the same equally xxx.0. At present, by shifting the decimal point two places towards the left, we get 0.3. Therefore, 30%=0.iii.

In the case of a decimal pct also, for example, 2.5%, nosotros have to shift the decimal point two places towards the left. So, two.v% = 0.025.

How to Catechumen Fraction Percent to Decimal?

Sometimes, a pct is given in the fractional form, for instance, two/3%, xiv/five%, etc. To convert a fraction percent to decimal, follow the steps given beneath:

• Pace one: If the percent is given in the mixed fraction grade, convert it to an improper fraction get-go.
• Step two: Convert the given fraction to a decimal by dividing the numerator with the denominator.
• Step three: Remove the percent sign and shift the decimal indicate two places towards the left. That will be the required reply.

In short, to convert fraction percent to decimal, beginning, we need to convert fraction to decimal and and then, we accept to convert the decimal percent to decimal number. Allow us take an example to sympathize this.

Instance: Convert 1/ii% to a decimal.

The given fraction percent is i/2%. And then, we have to get-go write information technology in decimal pct form by dividing the numerator past denominator, i.e i ÷ two = 0.v. Now, we got 0.five%. The next step is to remove the percent sign and shift the decimal point two places towards the left, which gives united states of america 0.005. This is how we do fraction percent to decimal conversion.

Pct to Decimal Chart

The percent to decimal chart helps us to apace find out the decimal equivalents of some unremarkably used percents. You can apply the percent to decimal conversion nautical chart while solving questions based on it.

☛Related Topics

Cheque these interesting articles to know more than about percent to decimal conversion and its related topics.

• Decimal to Percent
• Percent to Decimal Figurer
• Decimal to Per centum Calculator
• Percentages
• Fraction to Percent
• Percent to Fraction

Percent to Decimal Examples

1. Example i: Convert 5 % to decimal and verify your reply using the pct to decimal chart.

   Solution: To catechumen v% to a decimal, nosotros volition follow the steps of percentage to decimal conversion given below:

   • Step 1: Remove the percent sign. So, now we are left only with 5.
   • Step two: 5 tin exist written as v.0. By shifting the decimal point two places towards the left, we go 0.05.

   Therefore, 5 pct in decimal is 0.05. This can be verified using the percent to decimal chart given above which shows 5%=0.05.

2. Example two: Julia ate 20% of the block, while David ate 30% of information technology. Find the portion of cake left in decimals, using the percent to decimal conversion.

   Solution: There is one block, then the whole is 1. Now, Julia ate twenty% of the cake, which means she ate 0.ii portions. Similarly, David ate 30%, which is equivalent to 0.3 portions of the cake. The portion of the cake left is [i-(0.2+0.iii)].

   ⇒ ane - 0.five

   ⇒ 0.5

   Therefore, 0.5 portions of the cake is left.

3. Example 3: Convert 42/4% to a decimal.

   Solution: To catechumen 42/four% to a decimal, nosotros will follow the steps of percentage to decimal conversion given beneath:

   • Step i: Catechumen the fraction to a decimal past solving it. 42/4 = x.v%
   • Step 2: One time the decimal is obtained, remove the percent sign and shift the decimal point two places towards the left, which gives us 10.v = 10.5/100 = 0.105

   Therefore, 42/iv% in decimal is 0.105.

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FAQs on Percent to Decimal

What is Percent to Decimal?

Percent to decimal ways to catechumen a quantity given in percentage to its decimal equivalent by dividing it past 100. Information technology is used while dealing with numbers involving both pct and decimal. In that instance, we will have to either convert pct to decimal or decimal to percent depending on the ease of the calculations.

How do you lot Convert Percent to Decimal?

To convert a percent to a decimal, nosotros have to remove the percentage sign (%) and divide the number by 100. Dividing by 100 is the aforementioned as shifting the decimal point ii places towards the left.

What Performance is Involved in Converting Percent to Decimal?

Sectionalisation operation is involved in converting percentages to decimals. To do the conversion, we have to divide the number given in per centum form past 100 to detect its decimal equivalent.

What is 3 Percent to Decimal?

three percent in decimal is 0.03. To catechumen 3% to a decimal, follow the steps given beneath:

• Remove the percent sign.
• three tin can be written every bit iii.0. Now, shift the decimal point to two places towards the left. We volition get 0.03 as the answer.

How to Catechumen Fraction Percent to Decimal?

When a per centum is given in the fractional grade, for instance, viii/9%, we volition outset have to convert fraction to decimal. And and so nosotros take to shift the decimal point two places towards the left.

How to Catechumen 100 Percent to Decimal?

To convert 100% to a decimal, divide 100 by 100. So, we will get 1 as the respond. Therefore, 100%=one.

What is 109 Percent to Decimal?

109 percent in decimal is 1.09. To convert 109% to a decimal, follow the steps given below:

• Remove the percent sign.
• 109 can be written every bit 109.0. At present, shift the decimal indicate to 2 places towards the left. Nosotros volition get 1.09 as the answer.

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

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