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The Latin word “per centum,” which means “by the hundred,” was the source of the English word “percentage.” With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.
What is Percentage
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word “percent” is used to denote it.
Examples:
10% = 1/10
20% = ⅕
25% = to ¼
50% = to ½
75% = to ¾
90% = to 9/10
Percentage Formula
The share of a whole expressed in terms of 100 is determined using the percentage formula. You can represent a number as a fraction of 100 using this formula. If you pay close attention, you’ll see that the following method can be used to quickly calculate all three of the percentages stated above:
Percentage = (ObtainValue/Total Value)×100
How to calculate the percentage of a number?
We must employ a different formula, such as: to determine the percentage of a number.
A percentage of number = X
Where X is to be determine the percentage
The formulas above must be expressed as; if the percent sign is removed
P/100 * Number = X
Percentage Difference Between Two Numbers
Percentage difference is the shift in a quantity’s value over time expressed as a percentage. When a quantity changes, we occasionally need to know the percentage change, which is also known as percentage change. For instance, a rise in population, a fall in poverty, etc.
We have a formula to display the % change in quantity. When determining the percentage difference, the following two situations could occur:
How To Calculate percentage increase
How To Calculate percentage decrease
How to Calculate Percentage Increase?
When a value is increased through time, a percentage increase describes the change in that value per unit of time. For instance, a growth in population or the quantity of microorganisms on a surface. The following formula can be used to determine percentage growth:
Percentage Increase Formula = (Increased Value – Original value)/Original value × 100
How to Calculate Percentage Decrease?
When a value is decreased over time, a percentage reduction describes the change in that value per unit of time. For instance, the quantity of Covid patients has decreased as well as the amount of rainfall. The following formula can be used to determine a percentage decrease:
Percentage Decrease Formula = (Original value-Decreased Value)/Original Value × 100
Points to Remember:
Calculate the value of 1 percent, then multiply it by the percent we need to know, to get the percentage of a whole.
Any quantity can be increased or decreased by a percentage.
Both fractions and percentages can be converted.
A percentage can be reversed. For instance, 25 percent of 40 is equivalent to 25 percent of 40.
Conclusion
At the base of a fraction of 100, percentages are a means to express numbers. The quantitative aptitude segment includes a sizable and crucial portion of percentages. A crucial idea that applies to practically all the Quantitative Aptitude topics is “percentage.” We’re sharing some key ideas and time-saving tips with you all in order to assist you all in performing better on the tests and answering questions based on percentages quickly and easily.
