Percentage | Symbol of Percent | Fraction with Denominator 100 (2024)

A fraction with denominator 100 is called percentage and is denoted by the symbol %.

In our daily life, we see a lot of statements with numbers followedby a symbol %. A number followed by % is called a percentage or percent. Theterm percent comes from the Latin phrase per centum, meaning by the hundred.Percentage is another way of expressing a part of a whole.

One hundred percent of a quantity is \(\frac{100}{100}\) ofit, for example if 40 students are enrolled in a class and all 40 are presenton a particular day, then 100% of the class is present.

The word percent means per hundred or for every hundred. Thus, Clara got 83 marks out of 100 means; she got 83 percent marks.

Conversely, when a student scored 67 percent marks that means; the student scored 67 marks out of 100.

The symbol of percent is %.

Thus, 15 percent will be written as 15%

7/100 means 7%.

Conversely, 9% means 9/100.

On the status bar of our computer 100% indicates that thebattery is fully charged. Let us illustrate this by assuming that a battery ismade up of 100 small cells and each cell of the battery is represented by anequal part on a square sheet. The shaded region in the following figures showsthe percentage of charge in a battery.

Percentage | Symbol of Percent | Fraction with Denominator 100 (1)

Percentage | Symbol of Percent | Fraction with Denominator 100 (2)

Percentage | Symbol of Percent | Fraction with Denominator 100 (3)

So, we can say that percentage represents parts her hundred.Percentage is a fraction with 100 as its denominator.

Thus, 7% means 7 out of 100 = \(\frac{7}{100}\)

85% means 85 out of 100 = \(\frac{85}{100}\)

For example:

(i) 20/100 = 20%

[It is read as 20 percent]


(ii) 15/100 = 15%

[It is read as 15 percent]

(iii) 5/100 = 5%

[It is read as 5 percent]

(iv) 71/100 = 71%

[It is read as 71 percent]

(v) 89/100 = 89%

[It is read as 89 percent]

Percentage

To Convert a Percentage into a Fraction

To Convert a Fraction into a Percentage

To find the percent of a given number

To find what Per cent is one Number of another Number

To Calculate a Number when its Percentage is Known


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Percentage | Symbol of Percent | Fraction with Denominator 100 (2024)

FAQs

Percentage | Symbol of Percent | Fraction with Denominator 100? ›

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

How do you write a percentage making a denominator 100? ›

Step 1: Multiply the given fraction by 100. Step 2: Cancel the 100 in the denominator and the the numerator. Step 3: Write the remaining number with a percentage sign. That is our final answer.

What with its denominator 100 is called a percent? ›

A percentage is a numeric quantity which is expressed in p q form i.e. fraction with denominator 100 . It is represented with the symbol of percentage ( % ) . For example: 1 % is expressed in fraction as 1 100 . Therefore, a fraction with its denominator 100 is called a percent.

What is a fraction with a denominator of 100? ›

A percentage is a fraction with a denominator of 100.

How do you convert a percent to a fraction with a denominator of 100? ›

Step 1: Divide the given percent by 100 to get the decimal number: i.e., Percent/100. Step 2: If the percent is not a whole number, then multiply every number by 10 after the decimal point. Step 3: Simplify the fraction.

Is a percent a fraction whose denominator is 100? ›

Percentage is a special fraction whose denominator is always 100. Percentage means per (for every) cent (100). That makes comparisons easier.

Why do you use a denominator of 100 when you write a percent? ›

Explanation: When converting percents, we write 100 as the denominator because the word 'percent' literally means 'per hundred. ' Therefore, any percent value can be written as a fraction with a denominator of 100.

Is percentage a ratio with 100 as its denominator? ›

It is really two words, “per cent,” and means per one hundred. A percent is a ratio whose denominator is 100 . We use the percent symbol %, to show percent.

Is your denominator always 100 for percents? ›

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

How to write 100 as a percentage? ›

100 percentage by definition means 100/100 or just 1. If you want to change a number from decimal to percentage move the decimal point two places to the right and add a % sign. If you want to change a number from percentage to decimal move the decimal point two places to the left and drop the % sign.

What fraction is 100%? ›

The value of 100% is equal to one. To write one as a fraction becomes 1/1 = 1 in simplest form.

Is a with its denominator 100 called a percent? ›

A percentage (%) compares a number to 100. The word 'percent' means per every 100 or out of every hundred. i.e., 100 %=100100. A percentage is also a fraction with denominator always equal to 100.

What is the percentage of a fraction with a denominator? ›

To convert fractions to percentages divide the numerator (number on the top) by the denominator (number on the bottom) and multiply by 100 . This will give you the fraction as a percentage.

What is 20% as a fraction with a denominator of 100? ›

The equivalent fraction of 20/100 will be 2/10 as the value of both of them will be 1/5.

How do you convert percentage to 100? ›

The following points should be taken care of while converting percentages into decimals and vice versa.
  1. to convert percentages into decimals, just replace % with "divided by 100". For example, 40% = 40/100 = 0.4.
  2. to convert decimals into percentages, just multiply by 100. For example, 0.4 = 0.4 × 100 = 40%.

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