Percentage of a Number – Explanation & Examples
The terms percentage and share are interchangeably used in many situations, but do they mean the same thing ? well, percentage and share are slenderly different in their custom but they have a similar meaning. percentage or the polarity ( % ) is normally used accompanied by a numeric value. For exercise, we can say, 95 percentage or 95 % of the students are bright. share on the other hand is generally used without a issue to refer to the bible percentage. For example, we department of state that, the share of bright students is 95 %. The percentage condition was not identical old but the method acting was coarse. When there was no decimal arrangement, the Ancient Romans used to do calculations of fractions as the multiples of 1/100. For exercise, they imposed taxes on goods give by the fraction 1/100, which is equivalent to computing percentages. belated in the Middle Ages, the use of 1/100 fraction became more common. In the seventeenth hundred, a standard was set to quote interest rates as 1/100. After its frequent use, the mathematicians abbreviated it as “ personal computer ” in fourteenth hundred. subsequently came the term “ per ”, and last in 1925, D.E. Smith gave it a symbol form ( % ).
What is the Percentage of a Number?
percentage in mathematics is a number or ratio which can be represented as a fraction of 100. The term per cent originates from a Latin bible ‘ per centum ’ which means per 100. The symbol ( % ) is used to denote share. similarly, share is sometimes denoted by an abbreviation ‘ pct. ’ For model, we can express 50 percentage as 50 % or 50 percentage. Percentages are written inform whole numbers, fractions or decimals. For example, 4 %, 75 %, 0.6 %, 0.25 %, 3/5 % etc. are all percentages. Percentages are part of our daily lives in the play along examples :
- Discounts on commodities are represented in percentages
- Financial institutions such as banks and SACCOS express the interest charged on loans in form of percentages.
- Profits and losses are calculated in percentages
- In academics, percentages are used to evaluate the performance of students
- The values goods such cars and a piece of land changes with time. This can be represented inform of percentages.
For these reasons, possessing a cognition on how to calculate percentages is not only helpful for you to excel in mathematics, but besides to apply outside the class and solve practical problems involving percentages. This article provides a dance step by tone tutorial on how to calculate percentages .
How to Calculate Percentage?
There are two possibilities of finding the share of a number :
- To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%.
- The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100. For example, to find the percentage of 1/6: 0.1666 x 100 = 16.7%.
Example 1 Calculate the percentages of the following: 1. 25 of 200? solution
( 25/200 ) × 100
Divide the numerator by denominator ;
= ( 1/8 ) × 100
= ( 1 × 100 ) /8
= 100/8
= 25/2
= 12 .5 % 2. 95 out of 150? solution
( 95/150 ) × 100
Simplify the divide and breed by 100
= ( 19/30 ) × 100
= ( 19 × 100 ) /30
= 1900/30
reduce the fraction ;
= 63 1/3 % 3. 22 of 44? solution
( 22/44 ) × 100
Simplify the divide ;
= ( 1/2 ) × 100
= ( 1 × 100 ) /2
= 100/2
= 50 % 4. 30 of 150? solution
( 30/150 ) × 100
Simplify the fraction ;
= ( 1/5 ) × 100
= ( 1 × 100 ) /5
= 100/5 = 20 % 5. 250 of 1200? solution
( 250/1200 ) × 100
Cancel the numerator and denominator ;
= ( 5/24 ) × 100
= ( 5 × 100 ) /24
= 500/24 = 125/6
= 20 5/6 %
6. 86 of 2580? solution
( 86/2580 ) × 100
simplify the fraction by cancelling ;
= ( 1/30 ) × 100
= ( 1 × 100 ) /30
= 100/30
reduce the fraction ;
10/3
= 3 1/3 % Example 2 A class has a total of 120 students. Calculate the percentage of girls if they are 60 of them ? solution total number of students in the class = 120 full number of girls = 60 therefore, the share of girls is calculated as : ( 60 × 100 ) /120 = 600/12 = 50 Hence, 50 % of the students are girls. Example 3 150 students are salute in the school auditorium. If the number of boy and girl present in the anteroom is 80 and 70 respectively. Calculate the share of boys present in the auditorium ? solution entire count of students introduce in the auditorium = 150 Number of boys = 80 percentage of boys = ( 80 ten 100 ) /150
= 53.33 %
