The terms percent and percentage are interchangeably used in many situations, but do they mean the same thing? Well, percent and percentage are slightly different in their usage but they have a similar meaning. Percent or the sign (%) is normally used accompanied by a numerical value. For example, we can say, 95 percent or 95% of the students are bright. Percentage on the other hand is generally used without a number to refer to the word percent. For example, we state that, the percentage of bright students is 95%. The percentage term was not very old but the method was common. When there was no decimal system, the Ancient Romans used to do calculations of fractions as the multiples of 1/100. For example, they imposed taxes on goods give by the fraction 1/100, which is equivalent to computing percentages. Later in the Middle Ages, the use of 1/100 fraction became more common. In the 17th century, a standard was set to quote interest rates as 1/100. After its frequent use, the mathematicians abbreviated it as “pc” in 14th century. Later came the term “per”, and finally 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 word ‘per centum’ which means per 100. The symbol (%) is used to denote percentage. Similarly, percentage is sometimes denoted by an abbreviation ‘pct.’ For example, we can express 50 percent as 50% or 50 pct. 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 following examples:
For these reasons, possessing a knowledge on how to calculate percentages is not only helpful for you to excel in mathematics, but also to apply outside the class and solve practical problems involving percentages. This article provides a step by step tutorial on how to calculate percentages. How to Calculate Percentage?There are two possibilities of finding the percentage of a number:
Example 1 Calculate the percentages of the following: 1. 25 of 200? Solution 2. 95 out of 150? Solution 3. 22 of 44? Solution 4. 30 of 150? Solution 5. 250 of 1200? Solution 6. 86 of 2580? Solution 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 Total number of girls = 60 Therefore, the percentage of girls is calculated as: (60 × 100)/120 = 600/12 = 50 Hence, 50% of the students are girls. Example 3 150 students are present in the school auditorium. If the number of boy and girls present in the hall is 80 and 70 respectively. Calculate the percentage of boys present in the auditorium? Solution Total number of students present in the auditorium = 150 Number of boys = 80 Percentage of boys = (80 x 100)/150 = 53.33% |