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A percentage is a figure or ratio that indicates a percentage of a whole number. The percentage formula can be used for many different types of problems. For example, what is 20% of rs 80? To solve this problem one must first use the percentage formula:
Percentage Formula:
When computing the percentage of something in terms of 100, the percentage formula comes in handy. The percentage can be expressed as a fraction of a ratio, with the full number always being 100. The percent symbol is a symbol that is used to denote percentages. Let’s look at some instances to help us comprehend the percentage formula.
To calculate a percentage, they must first determine the proportion or share of something in respect to the whole. The following are two methods for calculating a percentage:
The unitary technique is used. By adjusting the fraction’s denominator to 100.
Note: In circumstances when the denominator is not a factor of 100, the second technique of calculating percentage cannot be utilized. They employ the unitary technique in situations like these.
Formula for Percentage
Percentage = (Value /Total Value) 100 is the formula for calculating percentages.
‘Value’ refers to any specific value within the total value.
Application of percentage formula
Percentage of a number: Percentage = (number / 100) x 100
For example, to find out what percent of 16 is 4, we would use the following formula:
(4/16) x 100 = 25%
Percentages can be converted from a fraction or ratio to a decimal by multiplying the fraction or ratio by 100. To convert percentages to decimals you divide the percentage by 100 and move the decimal point two places to the left. Converting a percent to decimal will help solve problems that involve percent as well as simplify problems involving decimals. In order to convert percentages into decimals, we must use the percentage formula: Percentage= (Value /Total Value)100 To convert 25% to a decimal we would use the following:
25%= (25/100) x 100 It is important to remember that when converting percent to decimals, always move the decimal point two places to the left since you are dividing by 100.
Percentage of change: percentage = (change / original) x 100
It is important to note that if the denominator of the first fraction or ratio you used for your problem was not 10, then simply multiplying it by 10 will make division easier and will convert this fraction or ratio into a decimal.
An example of this would be to find out what percent the book prices rose from Rs 20 to 25 rs. The percentage formula for percentage of change is used in this problem:
Percentage = (change/original) x 100
Using this formula it can be determined that the price of the books increased by 20%.
To solve the problem, you must first use the number line method so that division is more manageable. This eliminates having to divide fractions which will simplify the problem. Then use the following formula: 20%= (25-20/20) x 100 Simplifying this expression gives us 5/4=1/.8, which equals 125/160=5/8 A good way to remember how to do a percentage of change problems is to remember that it should be expressed as a decimal.
A percentage is the proportion of something measured by 100. A percentage means “for every 100.” For example, if one has Rs 100 and they buy an item that costs Rs 20, then 20% of the Rs 100 would be Rs 20. Write this as 0.20 which represents 20%. To determine what percent one number is another, divide the first number by the second number. This problem can also be done using a decimal notation where 1/4 = 0.25 or 25%.
A percentage formula is very easy to grasp and one can do this in math classes, but if one wants more convenience in learning the percentage formula, they should use Cuemath website.
