# CLASS-5PERCENTAGE

PERCENTAGE -

A percentage is a way of expressing a proportion or relative amount in relation to a whole, using the base unit of 100. It is denoted by the symbol "%". Percentages are commonly used to compare and represent ratios, proportions, or parts of a whole in various contexts.

The term "percent" is derived from the Latin word "per centum," which means "per hundred." When a value is expressed as a percentage, it indicates the corresponding part or fraction out of 100. For example, if you say "50%," it means 50 out of every 100.

The formula to calculate a percentage is:

Percentage = (Part / Whole) * 100

In this formula, the "Part" represents the specific value or quantity you are interested in, and the "Whole" represents the total or reference value.

Percentages are commonly used in various fields such as mathematics, statistics, finance, economics, science, and everyday situations. They allow for easy comparison and understanding of relative values and proportions.

A percentage is a way of expressing a proportion or a fraction of a whole in terms of parts per hundred. It is denoted by the symbol "%". Percentages are commonly used to compare or represent quantities, ratios, or relative amounts in various fields such as mathematics, statistics, finance, and everyday life.

The term "percentage" is derived from the Latin word "per centum," which means "per hundred." It indicates the number of parts out of 100 that a particular quantity or value represents.

To calculate a percentage, you divide a part by the whole and multiply the result by 100. This process converts the fraction or ratio into a percentage value.

For example, if you have 25 apples out of a total of 100 apples, the percentage of apples you have can be calculated as:

(25/100) * 100 = 25%

Thus, 25% represents a quarter or one-fourth of the total quantity.

Percentages are commonly used in various contexts, including grades, discounts, interest rates, success rates, market shares, and many other situations where relative values or proportions need to be communicated in a standardized and easily understandable format.

A fractional number with hundred as the denominator is known as percentage. Percent means out of every hundred. For example, Kiran got 80 percent marks means she got 80 marks out of 100 marks. The symbol of percent is %.

Percentage : When a quantity is expressed in the percent form it is called percentage. But we generally do not differentiate between percent and percentage. When the denominator of the fraction is 100, the numerator of the fraction is called percentage.

For example,

25

------- is 25 %.

100

Expressing A Fraction As A Percentage -

To convert a fraction into percentage, we multiply the fraction by 100 and put the symbol %.

45          100

a) ------- X -------- = 45%

100           1

[Equal factors in numerator and denominator is 100]

17           100

b) -------- X -------- = 17%

100            1

[Equal factors in numerator and denominator is 100]

33          100

c) ------- X -------- = 33%

100           1

[Equal factors in numerator and denominator is 100]

17          17           100

d) ------- = -------- X -------- = 17 X 5 = 85%

20          20             1

[20 and 100 have the common factor 20]

3          (8 X 5) + 3

e) 8 ------- = ------------- [convert mix fraction to improper fraction]

5               5

43          43          100

= ------- = ------- X -------- = (43 X 20)% = 860%

5           5            1

[5 and 100 have the common factor 5]