Calculating reverse percentage is a useful skill that you will use over and over. It involves working backward to determine the original amount before a percentage is added or subtracted.
At Allcalculator, we understand how challenging it is to calculate a reverse percentage. That is why our reverse percentage calculator is designed to help you easily and accurately find the initial number before the percentage change.
What is a Reverse Percentage Calculator?
A reverse percentage calculator is a digital tool that helps you find the initial number before a percentage change based on the final value after the change is known.
The calculator makes the process of backward calculation of percentage easy by automating the calculation and offering quick results. It allows you to find the whole amount from a given percentage and help you make informed financial decisions.
By using this calculator, you can find the initial price of a product after a discount, the amount before tax was added, or the base salary before a hike.
Benefits of Using This Calculator
Our reverse percentage calculator provides many benefits. Some of them include:
1. Accuracy
The calculator uses a standard formula to ensure accurate results. We know how important reliable data is, and that is why we developed our calculator to offer correct calculations.
2. Time-saving
Calculating reverse percentage manually can be time-consuming, but an online tool automates the process, saving you time and effort. Users can quickly determine the original value before any percentage adjustments without having to do long manual calculations.
3. Easy-to-use
We believe everybody should have access to tools that support their success. That is why we have designed our calculator to be easily accessible for everyone and free to use.
4. Versatility
The calculator is useful for many purposes, like calculating changes in salary or finding out the initial prices after the discount. The tool can be customized to meet your specific needs, making it valuable in different situations.
Reverse Percentage Table
The table below shows the percentage, along with its fraction and decimal values which is important for reverse percentage calculations:
| Percentage value | Fraction value | Decimal value |
| 1% | 1/100 | 0.01 |
| 2% | 2/100 | 0.02 |
| 24% | 24/100 | 0.24 |
| 30% | 30/100 | 0.3 |
| 15% | 15/100 | 0.15 |
| 64% | 64/100 | 0.64 |
| 20% | 20/100 | 0.2 |
| 76% | 76/100 | 0.76 |
| 45% | 45/100 | 0.45 |
| 89% | 89/100 | 0.89 |
| 37% | 37/100 | 0.37 |
| 69% | 69/100 | 0.69 |
| 51% | 51/100 | 0.51 |
How to Figure Out Reverse Percentage?
For reverse calculating percentages, it is important to understand that the item is always considered 100% of its value before its price increases or decreases. This 100% represents the complete or original amount of the product.
To do this, you must follow these steps:
- Subtract or add the given percentage from 100% to find out how much is left.
- Determine 1% by dividing the percentage acquired in the first step.
- Calculate the original amount (100%) by multiplying your result in step 2 by 100.
For example- Suppose Emily buys a scarf on sale marked 75% off. It now costs $20. To find the original price of the scarf, Emily works backward from 100%. Subtracting 75% from 100% leaves 25%, showing that $20 represents 25% of the original cost.
To find out the value of 1%, she divides the sale price ($20) by 25%, which equals $0.80. To calculate the initial price (100%). Emily multiplies the value of 1% ($0.80) by 100, resulting in $80.
Therefore, the original price of the scarf was $80. This method allows Emily to find out how much the scarf initially cost before the discount was applied.
The Formula for Calculating Reverse Percentage
The reverse percentage helps to find the original value (denoted as X) from the given percentage (P%) of that value. Here is the reverse formula of percentage:
| X= (P%Value)×100 |
This formula is useful for calculating the initial number before any percentage change, such as discounts, was applied.
How to Use a Reverse Percent Calculator?
The reverse percentage calculator helps you work backward from partial information to uncover the complete picture, like solving a puzzle in everyday situations. You can use it to find the initial value of an item on sale or understand how much tax you have paid on a total bill.
The following are some steps you need to follow to use this calculator easily and get correct results:
1. Enter final value
Type in the known value after the percentage change. This could be the amount after the discount or the price after an increase.
2. Input the percentage change
Specify the percentage change that was applied. It can be either increased or decreased.
3. Press calculate button
Once you have added all the above-mentioned details, tap on the “Calculate” button. The calculator will show the original value before the percentage change is applied.
Example of Reverse Percentage Calculator
Example 1: Decrease Percentage Type
Let’s say a shirt on sale marked 20% off costs $150, and you need to find the original price of the shirt. For this:
- You just enter the price of the shirt, $150, in the first box.
- Then, select the percentage type (in this case, decreased) and enter the percentage (20%).
- The backwards percentage calculator will show the original price of the shirt, which is $187.50.
The first thing you need to do is find the percentage of the original number. In this example, the shirt is 20% off, so $150 is 80% of the original price (100%—20% = 80%).
Next, convert the percentage to a decimal: 80% = 80 ÷ 100 = 0.8. Finally, divide the sale price by the decimal: $150 ÷ 0.8 = $187.50. Therefore, the original price of the shirt was $187.50.
Example 2: Increase Percentage Type
Suppose Joey invests money in cryptocurrency. After two years, he sells them for $5500 at a profit of 25% of their original value. To find the original value:
- Enter the final amount ($5500) in the first box.
- Select the percentage type (increased), and enter the percentage (25%).
- The calculator will show the original value, which is $4400.
First, you need to calculate the percentage of the original cost, which in this case is 125% (100% + 25%). Next, convert this percentage into a decimal form: 125% becomes 1.25 when divided by 100.
Finally, divide the final amount of $5500 by 1.25 to find the original value, resulting in $4400. Thus, Joey’s initial investment in cryptocurrency was valued at $4400 before he sold them for $5500, marking a 25% increase in value.
Frequently Asked Questions
What is Revere Percentage?
A reverse percentage is a method of figuring out the original price or value of something after it has been discounted or increased by a percentage. You will often come across the reverse percentages in numerical reasoning tests, which analyze your ability with numbers, data, and mathematical concepts.
What is meant by percentage change?
A percentage change, whether increased or decreased, shows the difference between an old and a new value. It is calculated by subtracting the old value from the new one, dividing the result by the old value, and multiplying by 100. A positive change shows an increase, while a negative change shows a decrease in the value.
How accurate are reverse percentage calculators?
Our calculator provides accurate answers as long as you enter the final value and percentage change correctly. It uses a standard mathematical formula to calculate the original value, ensuring accurate calculation.
How to reverse 20% off?
To find the initial price before a 20% reduction, you need to:
- Subtract the percentage reduction (in this case, 20%) from 100% to get 80%.
- Divide the final price (after the 20% reduction) by 80% to find 1% of the original price.
- Multiply 1% of the original price by 80% to get the final price.