# How to convert a percentage to decimal form with a calculator

## Tips for converting percentages to decimals

Photo by Kyle Fewel. © Balance 2019

Umiejętność przeliczania wartości procentowych na ułamki dziesiętne iz powrotem jest cenną umiejętnością matematyczną i z pewnością pomaga w zrozumieniu swoich finansów. Whether you’re making quick estimates in your head, using a calculator, omodeling your car loan on a spreadsheet, you need to know how decimals and percentages are related.

## Divide by 1

Most interest rates are quoted and advertised as a percentage. But if you want to run calculations using those numbers, you’ll need to convert them to decimal format. The easiest way to do this is to divide the number by 1.

Example:To convert 7% to decimal format, divide 7 by 1.

Search engines like Google and Bing also make it easy to do quick calculations online, or if you prefer, you can even launch your favorite calculator app. To calculate with a search engine, type the expression you’re trying to solve into the searchfield. For example, enter “7/1”.

## Move the decimal point to the left

Another easy way to convert the quoted percentage to a decimal is to move the decimal number two places to the left.

If you don’t actually see a decimal, just imagine that it’s at the end, ofar right side, of the number. Imagine that the decimal point is followed by two zeros if that helps (so 7 is 7.00).

Example:To convert 7% to decimal format, move the decimal point in front of 7.

Once you do this multiple times, it will become natural and you will be able to instantly do it in your head.

With more complex numbers, you’ll still just move the decimal over two places. Here are some other examples:

• 1% = 1
• 150% = 1.5
• 7.43% = 0.743
• 0.5% = 0.005

## Example: APY Earnings

Let’s say your bank pays 1.25% annual interest rate (APR) to your savings account. How much will you earn in a year if you deposit \$ 1?

To find out, convert the interest to decimal format and multiply the result by the amount you deposit.

For every \$ 1 you deposit, you will earn \$ 1.25 per year.

Use an asterisk (or the * symbol) to multiply numbers when using a spreadsheet or search engine.

## Example: Purchase Discounts

Let’s say you want to buy an item that normally costs \$ 45 and is out of stock at a 30% discount. How much would you save and how much would it cost to sell?

You will pay \$ 31.50 and save \$ 13.50 on the product.

## Convert decimals to percentages

What if you wanted to go the other way and convert a number from decimal to percentage? As you may have guessed, simply do the opposite of what you did above.

### Multiply by 1

A simple approach is to multiply a decimal number by 1.

Example:To convert 0.7 to a percentage, multiply it by 1.

### Move the decimal point to the right

Another way to convert from decimal to percentage is to move the decimal point two places to the right.

Example:To convert 0.7 to a percentage, move the decimal point after 5.

## Nice picture

For better or for worse, sometimes these financial calculations only give a rough idea of ​​how much you will spend or earn, although this estimate is still useful for making quick, overall judgments.

Converting a percentage to a decimal using the methods above is accurate, but it’s important to know what to do with that number after you’ve converted it. The next example shows how simple dollar calculations can lead you astray.

Assume you’ll borrow \$1,000 to purchase a home with a 30-year mortgage, and the interest rate is 6% per year. How much will you spend on interest each year?

For an approximate but not exact answer, convert the interest rate to a decimal and multiply the result by the amount borrowed:

However, you won’t spend exactly \$6,000 per year on interest unless you use an interest-only loan. The real answer for most fixed rate home loans would be more like \$ 5,966.59 for the first year.

With standard home and auto loans, you usually pay off your debt over time using monthly installments. With each payment, part of the payment reduces the loan balance and the rest covers the interest costs.

As you’re paying down the loan balance, there will only be a brief period, just the first month, when you owe the full \$1,000. After that, you’ll owe less each month, and your interest costs will decrease accordingly. This process is called depreciation.

If you want to calculate the exact interest payments on a loan, you can learn how to build an amortization table.

Problem: What percentage of the dollar is 76 cents?

Solution: 76% of a dollar is 76 cents.

The solution to the previous problem is not surprising, as dollars, cents, and percentages are based on the number 1. To convert a decimal to a percentage, multiply the decimal by 1, then add the% symbol. An easy way to multiply a decimal number by 1 is to move the decimal point two places to the right. This is done in the following example.

Example 1: Write each decimal as a percentage :. 93, 0.08, 0.67, 0.41

 Solution Decimal Percent 0.93 93% 0.08 0 8% 0.67 67% 0.41 41%

Each decimal in Example 1 falls two places to the right of the decimal point. However, the number of decimal places can have any number of places to the right of the decimal point. Let’s take a look at examples 2 and 3 below.

Example 2: write each decimal as a percentage: .786, .002, .059, 0.8719

 Solution Decimal Percent 0.786 0 78.6% 0.002 0 0.2% 0.059 0 5.9% 0.8719 87.19%

Example 3: Write each decimal as a percentage: .1958, .007, .05623, .071362

 Solution Decimal Percent .1958 00 19.58% 0.007.000 0.7% 0.05623 0 5.623% .071362 7.1362%

Summary: To write a decimal as a percentage, multiply it by 1 and then add the% symbol. To multiply a decimal by 1, move the decimal point two places to the right. Don’t forget to include the percent symbol when typing the percentage.

### Exercises

Tips: Read each question below. Select an answer by clicking on the relevant button. Feedback on your answer is provided in the RESULTS BOX. If you make a mistake, select a different button.

Last updated: February 1, 2021 References

This article was written by David Jia. David Jia is an academic and founder of LA Math Tutoring, a privately held tutoring company based in Los Angeles, California. With over 1 year of teaching experience, David works with students of all ages and all grades in a variety of subjects, as well as advising on college admissions and preparing for SAT, ACT, ISEE and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an online video instructor for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

This article mentions 1 reference which can be found at the bottom of the page.

Percent to specjalny sposób przedstawiania części czegoś. Percent to liczba wskazująca ułamek składający się ze 1 części. So 1% is total (whatever is measured), while 50% is half. If you learn to write numbers as percentages, it will be easier to do multiplication and other calculations with percentages on the calculator. Some calculators also have a% button to make calculations even easier.

Inserisci due valori qualsiasi di seguito e fai clic su "Calcola" per ottenere il terzo valore.

## Percentage Change Calculator

Inserisci due valori qualsiasi di seguito e fai clic su "Calcola" per ottenere il terzo valore.

In mathematics, a percentage is a number or ratio that represents a fraction of 1. It is often referred to as “%” or simply as “percentage” or “points”. For example, 3% corresponds to a decimal of 0.3 or a fraction

 3 1

.

### Percentage Formula

Although the percentage formula can be written in various forms, it is essentially an algebraic equation with three values.

P is the percentage value, V.1is the first value that will change the percentage and V.2is the result of the percentage acting on V.1. The supplied calculator automatically converts the entered percentage to a decimal fraction to calculate the solution. However, if we solve for a percentage value, the returned value will be the actual percentage value, not its decimal representation.

W przypadku rozwiązywania ręcznego formuła wymaga wartości procentowej w postaci dziesiętnej, więc rozwiązanie dla P należy pomnożyć przez 1, aby przekonwertować je na procent. Basically, this is what the calculator above does, except that it accepts the input as a percentage, not a decimal.

### Percentage Difference Formula

Percentową różnicę między dwiema wartościami oblicza się, dzieląc wartość bezwzględną różnicy między dwiema liczbami przez średnią z tych dwóch liczb. Pomnożenie wyniku przez 1 from rozwiązanie w procentach, a nie w postaci dziesiętnej. Please see the equation below for an explanation.

### Percentage Change Formula

Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values ​​and dividing the result by the initial value, essentially calculating how much the initial value has changed.

The growth percentage calculator above calculates the increase or decrease by a specified percentage of the number of inputs. Fondamentalmente converte una percentuale nel suo equivalente decimale e sottrae (diminuisce) o aggiunge (aumenta) l’equivalente decimale rispettivamente da e a 1. Moltiplicando il numero originale per questo valore aumenterà o diminuirà il numero della percentuale specificata. Please see the example below for an explanation.

EX: 500 increased by 1% (0.1)
500 × (1 + 0.1) = 550

500 reduced by 1%
500 × (1 – 0.1) = 450

## summary

Quando si lavora con dati numerici, una tabella di attributi può contenere campi con percentuali e i valori sono rappresentati come valori numerici con il simbolo% aggiunto ad essa. These fields are typically of the Text data type because the% symbol is special and supported only in fields of the Text data type. Attempts to convert the values ​​of these fields to decimals result in the value being passed and converted into a field of the Double data type.

## Procedure

Below are the steps to convert a field with percentages to decimals. The workflow uses the field calculator and adds two new fields to the attribute table.

1. In ArcMap, right-click the selected layer containing the percentages and clickOpen the attribute table.
2. Start the editing session withpublisherToolbar.

• Create a new field of the Double data type (named in this exampleNoPercent). This field contains values ​​without the percent sign. For more information, see ArcGIS Help: Adding Fields.
• Click the right mouse buttonNoPercent field and select Field calculator.
• Follow the steps in How to: Remove and replace characters from a field in an attribute to replace a percentage with a space, using the following sample code:

The following image shows example output:

Create a second field with the Double data type with a Precision of 15 (in this example, named transparent). This field is used to store the final conversion values. The following image shows example output:

Click the right mouse buttontransparentthe field created in step 6 and selectField calculator. Fill in the field with the values ​​from NoPercentfield.

The following image shows example output:

• Click the right mouse buttontransparentfield again and selectField calculator.
• To chooseTranche and multiply by 0.01 to convert the values ​​to decimals. For instance:
• The following image shows an example of the output after a successful conversion:

Percentage calculator is a free online tool that allows you to find the percentage change, difference, and increaseodecrease online.

Do you know the most interesting thing about this Percentage Calculator? We have used the 4 most common phrases here to understand better. Also, you can use any part of the tool without any problems. As you can see, the user interface does a lot of things. But don’t worry about that. The user experience remains simple and fluid. That’s why we’ve included phrases to tell you about the functionality. This allows users to easily find the percentages (%) according to their needs.

In addition, there is no need to think or remember formulas to perform calculations. Just enter the values ​​into the calculator and get the results very quickly. Also, in this article, you will get important information about calculating the percentage with formulas and examples. Stay tuned and read the full article.

### What is Percentage?

The word “Percentage” has been derived from the Latin word "Al centro"sense"Circa un centinaio". When we say percentage, we are actually talking "Percent".

In general, we use these terms many times in our daily life.

• This water bottle is 60% empty.
• Next month, I will receive a 25% increase in my salary.
• Tomek got 95% in physics classes.

In other words, it’s the best way to be represented"Ile"o"Ile". Even more, you can use it to show changes, increaseodecrease ratio, difference, and a portion of any physical thing.

Even in statistics, the percentage is very important. Because it seems more technical to say 50% instead of 0.5. Therefore, it is a more convenient way to represent fractions.

## How do I Calculate a Percentage?

There are many formulas and solutions to find the percentage manually. But the most common formula is the following.

##### Percentage Formula:
• P = Percentage
• A = First value
• B = second value

We can make many variations from this formula. But in our percentage calculator, we only used the four most common varieties. Because they are used in most cases.

Varieties include:

Now let’s discuss its formula with some examples one by one.

Also, don’t worry about memorizing formulas and calculations. Because it is for learning and knowledge. With regular use, you can use our percentage calculator and get rid of these manual calculations.

#### 1. What is Percent(%) of A?

Let’s take an example for the sake of clarity.

##### Example: What is 18% of 120?

First, let’s distinguish between values ​​and questions.

• P = 18%
• A = 120
• B =? (To learn)

First, include the following values ​​in the formula:

18% G – 120 = B

Now we need to convert the percentage to decimal first. W tym celu możemy usunąć znak% i podzielić wartość procentową przez 1.

Put a decimal value in the equation and multiply by the value of A.

## Method No. 1

Expand the denominator to the first power.

#### Example 1

3/5 expands to 6/1 by multiplying the numerator by 2 and the denominator by 2:

 3 = 3 × 2 = 6 = 0.6 5 5 × 2 1

#### Example n. 2

3/4 is expanded to 7/1 by multiplying the numerator by 25 and denominator by 25:

 3 = 3 × 25 = 7 = 0.7 4 4 × 25 1

#### Example n. 3

5/8 is expanded to 625/1 by multiplying the numerator by 125 and denominator by 125:

 5 = 5 × 125 = 625 = 0.625 8 8 × 125 1

## Method No. 2

1. Use a calculator to divide the numerator by a fraction by the denominator.
2. For mixed numbers, add an integer.

#### Example n. 2

1 2/5 = 1 + 2 ÷ 5 = 1.4

## Method No. 3

Use long division to divide the numerator by a fraction by the denominator of the fraction.

#### Example

Calculate 3/4 by the long division of 3 divided by 4:

Enter degrees, minutes and seconds to convert them to degrees as decimal.

## Result:

• Calculator
• How to Convert Degrees, Minutes, Seconds (DMS) to Decimal
• Step One: Convert Minutes to Decimal Degrees
• Step Two: Convert Seconds to Decimal Degrees
• Step Three: Add Degrees, Minutes, & Seconds
• Degrees, Minutes, Seconds to Decimal Formula

## How to Convert Degrees, Minutes, Seconds (DMS) to Decimal

Degrees can be expressed with minutes and secondsoin decimal form. One degree is equal to 60 minutes or 3,600 seconds.

To convert degrees to decimal, find the decimal number of degrees for minutes and seconds, then add them to the degrees.

### Step One: Convert Minutes to Decimal Degrees

The minutes are expressed using the first symbol (′). Minutes can be converted to decimal by dividing them by 60 as the degree is 60 minutes.
decimal = minutes ÷ 60

### Step Two: Convert Seconds to Decimal Degrees

The seconds are expressed as a double prime symbol (″). Seconds can be converted to decimals by dividing them by 3600, because one degree is 3600 seconds.
decimal = seconds ÷ 3600

### Step Three: Add Degrees, Minutes, & Seconds

After converting minutes and seconds to degrees, the last step in converting to decimal is to add them to whole degrees. So the decimal value equals whole degrees plus minutes converted plus seconds converted.

### Degrees, Minutes, Seconds to Decimal Formula

In summary, the formula for converting DMS to decimal is:
decimal = degrees + (minutes ÷ 60) + (seconds ÷ 3600)

For instance,let’s convert 60 ° 3 ′ 15 ″ to decimal form.

decimal = 60 + (3 ′ ÷ 60) + (15 ″ ÷ 3.600)
decimal = 60 + 0.583333 + 0.004167
decimal = 60.587 °

Therefore, 60 ° 3 ′ 15 ″ is equal to60,587 °.

You may also be interested in our calculator for converting decimal degrees into degrees, minutes and seconds.

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