Table of Contents

# What is Percentage

The bible

percentmeans one part in a hundred .

Percentageis a act or proportion as a fraction of 100. The number of a share is always followed by apercent symbol (%). Below are examples of percentages :

`5%,10%,33 1/3%“,67.5%,100% `share is applied in unlike fields. It is normally used in accounting and finance such as sake rates, profits, sales and taxation. A number of schools and universities used percentages to express the grades of the students. Probabilities, nutriment facts and downloading process are represented by percentages .

### Terms to remember

Fraction | ratio between two nonzero integers.Ex. 1/2 |

Ratio | relationship between two numbers. Ex. 1:2 |

Mixed Number | a whole number and a proper fraction. Ex. 1 2/3 |

Proper Fraction | a fraction having a numerator which is less than the denominator. Ex. 3/4 |

Quantity | a number representing an amount or value |

Distinguish | identify differences between two or more subjects. |

## Calculating the percentage

The percentage is the resultant role when a specific number is multiplied by a percentage. Most of the clock time, percentages are smaller than the number since a share is a assign of a number or measure. But there are cases that the share is greater than the number. This would happen if the percentage is greater than 100 % .

In short, a percentage is a certain percentage of a total .

Most of the time, the quantity is followed by the phrase “ percentage of ” .

**For example;**

70 % of 50 is 35 .

In this affirmation, 50 is the quantity, 35 is the percentage and 70 % is the percentage .

##### Example 3:

##
What is 40% of 60 ?

#####
24

##### Explanation:

40 is the percentage .

60 is the quantity .

share is the command quantity .

Multiplying the count by the percentage ;

` 60 ` adam ` 40 % = 60 ` ten ` 40/100 = 2400/100 = 24 `

consequently, 40 % of 60 is 24 .

##### Example 4:

##
Find 75% of 36 ?

#####
27

##### Explanation:

75 is the percentage .

36 is the quantity .

Multiplying the number by the percentage ;

` 36 ` x ` 75 % = 36 ` adam ` 75/100 = 2700/100 = 27 `

therefore, 27 is 75 % of 36 .

## Calculating the percentage

In finding the percentage of a number, divide the percentage by the quantity then multiply the product by 100. Put a percentage symbol ( % ) after the final examination product .

If the share is greater than the quantity, this means that the percentage is greater than 100 %. The percentage is a factor of increase in the value of the measure .

##### Example 5:

##
What percent of 72 is 18?

#####
25 %

##### Explanation:

18 is the share .

72 is the quantity .

percentage is asked .

Dividing the percentage by the quantity ;

` 18/72 = 0.25 `

Multiplying the product by 100 and place a percentage symbol ( % ) after ;

0.25 x 100 = 25 %

consequently, 18 is 25 % of 72 .

##### Example 6:

##
12 is what percent of 15?

#####
80 %

##### Explanation:

12 is the share

15 is the measure .

percentage is asked .

Dividing the share by the measure ;

` 12/15 = 0.8 `

Multiplying the product by 100 and place a percentage symbol ( % ) after ;

0.8 ten 100 = 80 %

therefore, 12 is 80 % of 15 .

##### Example 7:

##
100 is what percent of 50?

#####
200 %

##### Explanation:

100 is the percentage

50 is the quantity .

percentage is asked .

Dividing the share by the quantity ;

` 100/50 = 2 `

Multiplying the product by 100 and place a percentage symbol ( % ) after ;

2 ten 100 = 200 %

therefore, 100 is 200 % of 50 .

## Converting percentage to Decimal

In getting percentages, it is necessary to convert the percentage into decimal fraction form before multiplying it to the quantity .

here are the steps in converting percentage to decimal :

1. Neglect the percentage symbol ( % ) .

2. Move the decimal item two places to the exit .

##### Example 8:

##
Change 10% to decimal.

#####
0.1

##### Explanation:

Neglect the percentage symbol ( % ) and move the decimal fraction point 2 places to the leave .

10 % = 0.1

consequently, 10 % is 0.1 in decimal .

##### Example 9:

##
Convert 5.31% to decimal.

#####
0.0531

##### Explanation:

Neglect the percentage symbol ( % ) and move the decimal compass point 2 places to the leave .

5.31 % = 0.0531

therefore, 0.0531 is the decimal form of 5.31 % .

##### Example 10:

##
Find the decimal form of 428%.

#####
4.28

##### Explanation:

Neglect the percentage symbol ( % ) and move the decimal item 2 places to the left field .

428 % = 4.28

consequently, 4.28 is the decimal form of 428 % .

## Converting Decimal to Percent

It is easy to convert decimals to percents : just move the decimal distributor point two places to the right then place the percentage symbol ( % ) after .

##### Example 11:

##
Change 0.607 to percent.

#####
60.7 %

##### Explanation:

Move the decimal point 2 places to the right and plaza a percentage symbol ( % ) after .

0.607 = 60.7 %

therefore, 0.607 is 60.7 % .

##### Example 12:

##
Convert 1.208 to percent.

##### 120.8 %

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##### Explanation:

Move the decimal fraction point 2 places to the correct and place a percentage symbol ( % ) after .

1.208 = 120.8 %

consequently, 1.208 is 120.8 % .

## Converting percentage to Fraction

sometimes, converting percentage to divide is an easier method acting to obtain the share. Fractions are preferred to be used than decimals if the decimal has many digits. This makes the multiplication more convenient since lone factorization is used to simplify the share .

here are the steps in converting percentage to fraction :

1. Neglect the percentage symbol ( % ) .

2. Divide the percentage by 100. If the numerator has digits to the right of the decimal degree, move the decimal fraction point until the numerator becomes a unharmed numeral. Move the decimal fraction point of the denominator ( which is 100 ) by the lapp number of decimal places that the decimal point of the numerator has moved .

3. Reduce to lowest terms .

##### Example 13:

##
Change 16% to fraction.

#####
` 4/25 `

##### Explanation:

Neglect the percentage symbol ( % ) and divide the percentage by 100 .

` 16/100 `

Reduce to lowest terms .

` 16/100 = textbook ( 2 ten 2 ten 2 ten 2 ) /text ( 2 adam 2 ten 5 x 5 ) = text ( 2 adam 2 ) /text ( 5 ten 5 ) = 4/25 `

consequently, 16 % in fraction form is ` 4/25 ` .

##### Example 14:

##
Convert 62.5% to fraction.

#####
` 5/8 `

##### Explanation:

Neglect the percentage symbol ( % ) and divide the percentage by 100 .

` 62.5/100 `

Move the decimal distributor point of both the numerator and denominator by 1 decimal place to the good in order to make the numerator a wholly number .

` 625/1000 `

Reduce to lowest terms .

` 625/1000 = text ( 5 ten 5 x 5 x 5 ) /text ( 2 ten 2 adam 2 ten 5 ten 5 ten 5 ) = 5/text ( 2 adam 2 ten 2 ) = 5/8 `

consequently, 62.5 % in fraction is ` 5/8 ` .

##### Example 15:

##
What is the fraction form of 804%?

#####
` 8 1/25 ` or ` 201/25 `

##### Explanation:

Neglect the percentage symbol ( % ) and divide the percentage by 100 .

` 804/100 `

Reduce to lowest terms .

` 804/100 = textbook ( 2 ten 2 x 201 ) /text ( 2 adam 2 x 5 ten 5 ) = 201/text ( 5 adam 5 ) = 201/25 or 6 1/25 `

therefore, the fraction form for 804 % is ` 8 1/25 ` or ` 201/25 ` .

## Converting fraction to Percent

In converting fractions to percentage, it is easier and convenient to convert the fraction to decimal first gear then convert decimal to percentage after .

here are the steps in converting fractions to percentage :

1. Divide the numerator of the fraction by the denominator. The result is in decimal form .

2. Multiply the decimal form by 100 .

3. Place a percentage symbol ( % ) after the last finger of the percentage .

In case of interracial numbers ;

1. Apply the steps above for the proper divide of the mix number entirely .

2. Multiply the wholly issue of the assorted fraction by 100 .

3. Add the product ( whole number multiplied by 100 ) and the decimal fraction shape of the proper divide .

4. Place a percentage symbol ( % ) after the last digit of the percentage .

##### Example 16:

##
Change `3/5` into percent form.

#####
60 %

##### Explanation:

Divide the numerator by the denominator .

0.6 5 3.0 0 30 30 0

Multiply the decimal fraction kind by 100 and place a percentage symbol after the last digit .

0.6 x 100 = 60 %

therefore, ` 3/5 ` is 60 % .

##### Example 17:

##
Convert `9/4` into percent.

#####
225 %

##### Explanation:

Divide the numerator by the denominator .

` 2.25 4 9.00 8 10 8 20 20 0 `

Multiply the decimal fraction class by 100 and place a percentage symbol after the last digit .

2.25 ten 100 = 225 %

consequently, ` 9/4 ` is 225 % .

##### Example 18:

##
What is the percent form of `1 1/8`?

#####
112.5 %

##### Explanation:

Divide the numerator of the proper divide by the denominator .

` 0.125 8 1.000 0 10 8 20 16 40 40 0 `

Multiply the decimal fraction form by 100 .

0.125 ten 100 = 12.5

Multiply the whole number of the mix number by 100 .

1 ten 100 = 100

Add the merchandise ( solid numeral multiplied by 100 ) and the decimal fraction shape of the proper fraction .

100 + 12.5 = 112.5 %

consequently, ` 1 1/8 ` is 112.5 % .

## Distinguishing Percent and Percentage

There are some misconceptions upon the custom of the words percentage and share. The two words have

A **percent** refers to a specific number .

**For example;**

Bernadette got 90 percentage of the test questions correctly .

She got 90 % ( percentage ) in the quiz .

A **percentage** is the resultant role when a issue is multiplied by a percentage. It denotes a part and by and large described as lower or higher .

**For example;**

Bernadette got a high percentage in the screen .

She got a percentage of 90/100 in the trial .

largely, the give voice “ percentage ” comes after a certain number and normally these numbers are whole or counting numbers. It is not normally used in sentences since it is constantly replaced by a percentage symbol ( % ). The word “ percentage ” comes before a fraction or after an adjective ( e.g. high, low, large, small ) .

## Percentage Examples

##### Example 1:

Which word should be used in the sentence: percent or percentage?

Mia earned a profit of 10 ____ from selling her teddy bears.?

##### percentage

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##### Explanation:

10 is a specific number and consequently use percentage .

##### Example 2:

Which word should be used in the sentence: percent or percentage?

Gerald has a very low ____ of error when it comes to computations.

#####
percentage

##### Explanation:

The discussion “ low ” is used and consequently habit percentage .