How Do You Determine A Percentage? Study Some Tricks and Tips

Safalta Expert Published by: Saksham Chauhan Updated Sat, 10 Sep 2022 02:40 AM IST


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A percentage is a figure or ratio stated as a fraction of 100 in mathematics. When calculating a percentage, a number is divided by its entirety and multiplied by 100. So, it is possible to say that a % refers to a portion in a hundred. Percentage is represented by the sign %. Percentage calculations are taught to secondary school students in the classroom.


We'll go through how to quickly compute percentages in this tutorial. Students will have a better understanding of how to calculate percentages with ease. When students are intending to compute their scores for school and competitive examinations, learning how to calculate percentages might be helpful.  Download these FREE Ebooks:

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How Do You Determine A Percentage?

The Latin adverb "percent" means "by the hundred." The 16th century saw its invention. The abbreviation was later changed to %. Later, the period was eliminated, and the two words were merged to form the term "percent." Brief explanations employ the annotation sign %. Calculate your percentage of marks by comparing your final score to your overall score. The following is the formula to compute the percentage:

(Actual Value / Total Value) * 100 = Percentage

Converting a fraction to a percentage when calculating percentages

Consider a scenario where pupils are asked to convert 2/7 to a percentage. 2/7 is 0.28 in decimal form. When you multiply 0.28 by 100, you get 28%. However, pupils are not required to perform calculations manually every time. They can mentally memorise the % formula and enter quantities to perform calculations.

Different Ways to Calculate Percentages

Students should be aware that there are two ways to calculate percentages—one is addictive, and the other is subtractive—now that they have gone through the examples listed below.
  • When calculating an additive percentage, a number's value is added. This occurs in scenarios involving GST filing, the insertion of additional coupons, and other situations of a similar nature.
  • Calculating a percentage by subtracting involves deducting the value from the starting point. This occurs while using discount codes, applying for refunds of the original amount, and in more situations like these.
Students must thus study the entire amount and determine whether there are any situations where value has to be added or removed before computing the percentage. They should then continue with the amount or computation they have chosen.

Here is the Example for your better understanding

Example of Using the Percentage Formula to Calculate Percentages

Let's say that you paid $599 for a shirt. On how to determine what you must pay at the bill counter, however, there is a 5% GST.
  • Calculate 5% of 599 to get: 5% * 599 = (5/100) * 2995 = 29.95
  • You must thus pay an additional 29.95 at the counter.
  • 599 plus 29.95 equals 628.95 when added together.
  • This means that you must pay Rs 629 at the counter.

How Can I Use the Percentage Formula To Calculate Percentages?

Let's imagine you are viewing an advertising and it mentions a laptop that is 20% off. After the reduction, the cost is Rs 55,000. Find out what the actual cost was.

Here, we have the following information:

  • Discount given: 20%
  • Price after discount: Rs 55000

Let us assume that the actual price of the laptop is Rs X.

  • Therefore, Rs X – (20% of Rs X) = Rs 55000
  • Rs X – Rs (20/100) × X = Rs 55000
  • Or, Rs X – Rs (X/5) = Rs 55000
  • Or, Rs (4X/5) = Rs 55000
  • Therefore, X = Rs (55000 × 5)/4 = 68750

How Do I Calculate a Change in Percentage?

The variability of change over time is referred to as percentage change. It serves a variety of functions. The score for the change % is computed by comparing the older and newer numbers. The order value is often included in the comparison. The calculation for percentage change is as follows:

Percentage Change = ((New Value – Old Value ) / Old Value) * 100
  • When using the aforementioned calculation, the%age change will be negative if the new value is lower than the previous value. That suggests that the proportion has decreased.
  • A positive value will arise if the new value exceeds the previous value. That suggests that there has been a percentage growth.

How Can Percentage Be Removed?

There are two possible ways to subtract a percentage.
  • One method is to divide by 100 after removing the percentage indication. The number will become a decimal number as a result. as in 21.6% = 21.6/100 = 0.216
  • Using the calculation for percentages. Finding X when P% of X is Y can be used to do this. The equation is Y/P%=X. Consider the question: What number is 20% of 25, for instance.
This becomes Y/P% = X when converted to the percentage formula equation, which indicates that 25/20%=X. We may write it down as 20/100 (=0.20) if we omit the % symbol. The original formula is now 25/0.20=X. When the values are calculated, X is found to be 125. (which is not a percentage). 25 is thus equal to 20% of 125.

How Do You Determine Profit?

To comprehend the formula, we must first comprehend what profit is. Profit is essentially the discrepancy between a commodity's selling price and its cost. The price at which a good is sold today is its selling price, whereas its initial purchase price is its cost price. To understand how much a corporation or individual makes in profits (and losses), profits (and losses) are typically expressed as profit percentages.

How Is Discount Calculated?

A discount occurs when the price of a good is less than the stated value (also known as the face value) of the good. The discount is, to put it simply, the difference between the price paid for a commodity and its stated worth. Discounts are frequently utilised in consumer transactions, when consumers are given discounts on the things they are purchasing. A percentage is used to represent the discount rate.

How Do You Calculate a Marks Percentage?

One must divide the total marks earned by the student (in all subjects) by the maximum marks, then multiply the result by 100 to determine the percentage of marks earned by the student in an exam. For instance, if a student received 95 out of 100 in math, 85 out of 100 in physics, and 75 out of 100 in chemistry, that student would have received 255 out of a possible 300 points (95+85+75). As a result, the student's proportion of marks is (255/300) X 100%, or 85%. [indicates the % formula] Students may always use this formula to determine the percentage of marks.

How Is Percentile Calculated?

Percentage and percentile are frequently conflated. These two words, however, are extremely unlike. A percentage represents a number out of 100, but a percentile does not. In contrast to percentages, percentiles cannot be stated as ratios or proportions. To determine how well someone does in comparison to others, the percentile calculation is utilised. This formula is frequently used in test results and scores to indicate how well each student performed relative to their peers. The percentile calculation is also used to determine things like income and weight. In other words, with a value "x," the percentile may be represented as the proportion of denominations below "x" to all denominations. Percentile = (Number of denominations below ‘x’ / Total number of denominations) x 100

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