Percentage Calculation is a straightforward mathematical process. You might have to express a quantity as a % when you need to find the ratio, a part of another amount, or a component of an unknown quantity. This article will define percentages, demonstrate how to calculate them, and give examples of how to apply percentage calculation in practical situations. Note that you do not necessarily need to be good in mathematics before you can deal with percentage calculation.
Percentage Definition
As fractions of 100, percentages can be expressed as integers or ratios. Usually, they are indicated by the terms “percent” or “percentage.” They can also be written as decimal or basic fractions.
An example of a percentage is 32 percent, which is 32 out of 100 or 32/100. % is the symbol used to denote a percentage. The percentage can be expressed as 32%. By using a ratio calculator, you can better understand ratios or percentages. With this tool, you may compare fractions and determine a missing number in a proportion.
Percentage Calculation 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:
“% = (Value/Total Value) x 100”
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Steps for Percentage Calculation
A percentage calculator is one of many internet resources for finding percentages. However, you can do your percentage calculation by hand by doing the following:
1. Establish the number’s initial format before converting it to a percentage.
Either a fraction or a decimal value can be used to calculate a percentage. A fraction is 4/10, whereas a decimal number is 0.23, which might be the determined ratio of the data you’re comparing. The original format will dictate the subsequent mathematical operation to be carried out on the number.
2. Calculate the number that needs to be transformed into a percentage using math.
You might not need to take any further action if the amount being converted to a percentage is a decimal number, like 0.23. To convert a fraction, such as 4/10, to a decimal number, divide the numerator (4 in this case) by the denominator (10 in this case).
3. Multiply the outcome of the mathematical operation by 100.
Simply multiply a decimal number by 100 to get the percentage equivalent of a figure like 0.23. So 0.23 multiplied by 100 equals 23. As a result, 0.23 is equivalent to 23 or 23 percent when expressed as a percentage. Another illustration of converting a decimal to a percentage is 0.06 x 100 = 6 percent, or 6 percent.
4. To convert 4/10 to a percentage, divide 4 by 10 (which equals 0.4), then multiply that number by 100 (which equals 40%).
For another illustration, divide 2 by 13 to get 0.15 in order to convert 2/13 to a percentage. the result of 0.15 times 100. Therefore, 0.15 times 100 equals 15%.
A Different Method for Percentage Calculation
Let’s try another method for percentage calculation. You can be requested to do the reverse operation on integers to calculate percentages. When the end number and percentage are known, but the initial number needs to be determined, this technique, also known as reverse percentages, is employed.
What is the number, for instance, if 30% of it is 600? Reversing the process, the percentage is determined as follows:
- Determine the percentage of the starting value.
- The total should be multiplied by 100.
- Divide the outcome of the multiplication by the percentage.
1. Calculate the proportion of the starting value.
According to the math issue, 30% of the original number remains.
2. Multiply the resultant number by 100.
The answer to the math problem must be multiplied by 100. Thus, 600 multiplied by 100 equals 60,000.
3. Subtract the percentage from the result of the multiplication.
The result of step two’s multiplication is then divided by the percentage indicated in the question as the last step. This means that 2000 is equal to 60000 divided by 30. Thus, the initial figure was 2000.
Numerical Percentage Problems
Here are some instances of percentages and the formulas we used to compute them.
- Identify the handbag’s sale price if a 10% discount off the $20 listed price is offered.
- The fraction 30/100 should be converted to a percentage.
- Calculate the percentage of 4.75 as a decimal.
- Convert the decimal 0.5324 to a percentage.
- Three years ago, a ticket to the cricket match cost $10. This year, the price was raised by 40%. How much does a cricket match ticket cost this year?
- Mobile phones are now $20 less expensive at $140. How much did it cost initially?
- Determine the proportion of the 2/3 fraction.
Solution:
Here are the solutions to the above percentage calculation problems:
1. Identify the handbag’s sale price if a 10% discount is offered off the $20 stated price.
Decimalize the percentage to get 10/100 or 0.10
To calculate the discount, multiply by the purchase price: 0.10 x $20 = $2.
The difference between the full price and the discount, or $20.00 – $2.00, is the sale price, or $18.
As a result, after the discount, the handbag’s selling price is $18.
The fraction 30/100 should be converted to a percentage.
2. By dividing the numerator, which in this example is 30 by the denominator, which is 100, 30/100 may then be converted to a percentage.
It implies that 0.3 is equal to 30/100. Then, to get 30%, multiply 0.3 by 100.
3. Use the steps below to convert a decimal number to a percentage.
Is a decimal value that may be multiplied by 100 to become a percentage. 4.75 x 100 thus equals 475 percent.
4. Convert the decimal 0.5324 to a percentage.
Divide the decimal number 0.5324 by 100 to get a percentage. Therefore, 0.5324 x 100 Equals 53.24 %.
5. Three years ago, a ticket to a cricket match cost $10.00. This year, the price has increased by 40%. How much does it cost in the current year, then?
To convert the increase in percentage to decimal form, divide 40% by 100. Use the percent increase calculator to get the increase in percentage.
Now multiply it by the initial cost, which is $10, or 40%, to get $4.
As a result, this year’s ticket cost is equal to last year’s cost plus the increase, or $10 + $4 = $14.
6. The cost of a cell phone has dropped by 20% to $140. How much did it cost initially?
To determine the original cost, deduct 20% from 100. 100 – 20% = 80.
Add 100 to the final price.
140 times 100 is 140.
140 x 100 = 14000.
Subtract the outcome from the percentage that was established in the previous stage.
14000/80 = 175.
As a result, that cell phone originally cost $175.
7. Let’s convert 2/3 to a percentage as it is a fraction.
The fraction 2/3 can be converted to a percentage by first converting it to a decimal by dividing the 2 by the 3 in the denominator. 2/3 = 0.667.
To convert a fraction to a percentage, multiply 0.667 by 100.
0.667 x 100 = 66.7%.
FAQs on Percentage Calculation
What are Some Examples of Percentage in Real Life?
The following is a list of several actual-world percentage examples:
1. Battery life on your laptop or phone.
2. Nutrient content as a percentage of a food packet.
3. Oxygen, carbon dioxide, nitrogen, and other elements in air.
4. Percentage of your test score.
5. The percentage of patients who have recovered from Covid in two or more cities is compared.
How Can a Percentage Be Minus?
Simply multiply the amount by the desired percentage to remove a certain percentage from it. For instance, simply multiply 90% by 500 to deduct 10% from 500.
What is the percent into decimal conversion formula?
Drop the percent symbol (%), divide the result by 100, and then put the fraction in decimal form to convert percent to decimal.
Can % be greater than 100?
When we have a value that is greater than the entire value, the percentage can indeed be greater than 100.
Conclusion on Percentage Calculation
If you don’t practice the example problems from your workbooks, etc., dealing with percentages could end up being a bit difficult. As we have seen in the instances above, there are numerous possibilities for finding percentages. Continue honing your percentage-finding skills until you feel competent in any situation.
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