Created by Mateusz Mucha and Dominik Czernia, PhD

Reviewed by

Bogna Szyk and Jack Bowater

Last updated:

Dec 05, 2022

- How to calculate percent increase
- Percent increase formula
- Calculating percent decrease
- Closely related topics
- FAQ

The percentage increase calculator is a useful tool if you need to calculate the increase from one value to another in terms of a percentage of the original amount. Before using this calculator, it may be beneficial for you to understand how to calculate percent increase by using the percent increase formula. The upcoming sections will explain these concepts in further detail.

## How to calculate percent increase

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.

🙋 While the percentage increase calculator is important in mathematics, it is also useful in science, such as calculating the percent increase in mass of a chemical element in a compound.

## Percent increase formula

The percent increase formula is as follows:

`Percent increase = [(new value - original value)/original value] × 100`

An example using the formula is as follows. Suppose a $1,250 investment increased in value to $1,445 dollars in one year. What is the percent increase of the investment? To answer this, us the following steps:

- Identify the original value and the new value.
- Input the values into the formula.
- Subtract the original value from the new value, then divide the result by the original value.
- Multiply the result by 100. The answer is the percent increase.
- Check your answer using the percentage increase calculator.

Working out the problem by hand we get:

`[(1,445 - 1,250)/1,250] × 100`

`(195/1,250) × 100`

`0.156 × 100`

`15.6`

percent increase.

The percentage growth calculator is a great tool to check simple problems. It can even be used to solve more complex problems that involve percent increase. You may also find the percentage calculator is also useful in this type of problem.

## Calculating percent decrease

If you want to know how to calculate percent decrease, we follow a very similar process as percent increase. Notice the slight modification of the formula:

`Percent decrease = [(original value - new value)/original value] × 100`

Suppose we have the same investment value after one year of $1,445. A year later the value decreased to $1,300. The percent decrease would be calculated as follows:

`[(1,445 - 1,300)/1,445] × 100`

`(145/1,445) × 100`

`0.10 × 100 = 10`

percent decrease

Although we have just covered how to calculate percent increase and percent decrease, sometimes we just are interested in the change in percent, regardless if it is an increase or a decrease. If that is the case, you can use the percent change calculator or the percentage difference calculator. A situation in which this may be useful would be an opinion poll to see if the percentage of people who favor a particular political candidate differs from 50 percent.

If you want to learn how to express the relative error between the observed and true values in any measurement, check our percent error calculator.

## FAQ

### Where is percentage increase useful?

Percentage increase is useful when you want **to analyse how a value has changed with time**. Although percentage increase is very similar to absolute increase, the former is more useful when comparing multiple data sets. For example, a change from 1 to 51 and from 50 to 100 both have an absolute change of 50, but the percentage increase for the first is 5000%, while for the second it is 100%, so the first change grew a lot more. This is why **percentage increase is the most common way of measuring growth**.

### How do I calculate percentage increase over time?

**Divide the larger number by the original number**. If you have already calculated the percentage change, go to step 4.- Subtract one from the result of the division.
- Multiply this new number by 100. You now have the percentage change.
- Divide the percentage change by the period of time between the two numbers.
- You now have the percentage increase over time.
**Remember that the units will be % / [time]**, where time is the units you divided by, e.g. s for seconds, min for minutes etc. Please note that this does not take into account compounding. - For linear plots, multiply this number by any time difference to get the percentage change between the two times.
- For non-linear plots, just replace the larger number with your equation and solve algebraically. This will only find the percentage change between a number you input and the original number.

### How do I add a percentage increase to a number?

If you want to **increase a number by a certain percentage**, follow these steps:

- Divide the number you wish to increase by 100 to find 1% of it.
**Multiply 1% by your chosen percentage**.- Add this number to your original number.
- There you go, you have just added a percentage increase to a number!

### How do I add 5% to a number?

- Divide the number you wish to add 5% to by 100.
- Multiply this new number by 5.
- Add the product of the multiplication to your original number.
**Enjoy working at 105%!**

### How do I add two percentages?

To **add two percentages together** follow these steps:

- Calculate the first percentage by dividing the number you wish to find the percentage of by 100.
**Multiply the result by the percentage in its percentage form**(e.g. 50 for 50%) to get the percentage of the original number.- Repeat steps 1 & 2 for the other number.
- Add these two numbers together to get the addition of two percentages.
- If the number you wish to find the percentage of is the same for both percentages, you can
**just add the two percentages together**and use this new percentage to get the result of the addition.

### How do I calculate a 10% increase?

- Divide the number you are adding the increase to
**by 10**. - Alternatively multiply the value by 0.1.
- Add the product of the previous step to your original number.
- Be proud of your mathematical ability!

### How do I make a percentage?

**Decide two things**- the number which you want to find the percentage of and your chosen percentage.- Divide the chosen number by 100.
- Multiply this new number
**by your chosen percentage**. - There you go, you’ve just made a percentage!

### What is a 50% increase?

A **50% increase** is where you **increase your current value by an additional half**. You can find this value by finding half of your current value and adding this onto the value. For example, if you wanted to find what a 50% increase to 80 was, you’d divide by 2 to get 40, and add the two values together to get 120. **A 50% increase is different to a 100% increase**, which is double the original value.

### How do I calculate percentage increase in Excel?

While it's easier to use the Omni Percentage Increase Calculator, here are the steps to calculate discount rate in Excel:

- Input the original number (for example into cell A1).
- Input the increased number (for example into cell B1).
**Subtract**the original number from the increased number (In C1, input =B1-A1) and label it 'difference'.**Divide**the difference by the original price and**multiply**it by 100 (In D1, input =(C1/A1)*100) and label it 'percentage increase'.- Right click on the final cell and select
**Format Cells**. - In the
**Format Cells**box, under**Number**, select**Percentage**and specify your desired number of decimal places.

### How do I add 20% to a number?

**Divide the original number by 100**to get 1% of it.- Multiply 1% by your desired percentage, in this case 20.
**Add the product**of the previous step to your original number.- Congratulate yourself on adding 20% to your number!

Mateusz Mucha and Dominik Czernia, PhD

## FAQs

### How do you work out how much a percentage has increased? ›

**Calculating percentage increase and decrease**

- work out the difference between the two numbers being compared.
- divide the increase by the original number and multiply the answer by 100.
- in summary: percentage increase = increase ÷ original number × 100.

**How much is a 5% increase? ›**

To calculate a 5% pay raise, you only have to **multiply the percentage of the increase (in decimals) by your current salary and add your current salary**. So, assuming your monthly salary is $1,000, a 5% increase will be 0.05 multiplied by $1,000 plus the current salary, resulting in $1,050.

**How do you calculate a 8% raise? ›**

**You know the new salary you want the employee to receive**

- First, determine the difference between the employee's old and new salary: $54,000 – $50,000 = $4,000.
- Next, divide the raise amount by their old salary: $4,000 / $50,000 = . ...
- To turn the decimal into a percentage, multiply by 100: 100 X . 08 = 8%

**How much will SSI checks be in 2023? ›**

Recipient | Unrounded annual amounts for— | Monthly amounts for 2023 |
---|---|---|

2022 | ||

Eligible individual | $10,092.40 | $914 |

Eligible couple | 15,136.93 | 1,371 |

Essential person | 5,057.77 | 458 |

**How much is a 10 percent raise in dollars? ›**

If your current rate is $20/h and you are offered a 10% increase, your new hourly rate can be calculated like so: $20 + $20 * 10 / 100 = $20 + $20 * 0.1 = $20 + $2 = **$22**.

**How much is a 3% raise? ›**

How much is a 3 percent raise in dollars? It is 3% (or **$.** **03 per dollar earned**. So if you make $10/hour then 3% raise means you make $10.30 per hour.

**How do you calculate a 2% pay increase? ›**

**Calculating your pay raise percent**

- Step 1: Subtract your previous salary from your current salary. ...
- Step 2: Divide the salary increment difference by your previous salary. ...
- Step 3: Multiply the resulting decimal figure by 100.

**What percent increase is $5 to $6? ›**

Answer (Method 1): Step 1: $5 to $6 is a $1 increase • Step 2: Divide by the old value: $1/$5 = 0.2 • Step 3: Convert 0.2 to percentage: 0.2×100 = **20%** rise. means a 20% rise.

**What is a 5% increase of $100? ›**

In your calculation you add 5% of your price, $100, to get $100 + 0.05 × $100 = **$105**.

**What is the percentage increase from $4 to $5? ›**

There was a **25 %** increase from 4 to 5.

### How do I ask for a 10% raise? ›

**Tips for asking for a raise**

- List your accomplishments from the past six months, the past year and your time with the company. ...
- Know what a competitive salary looks like for your position. ...
- Let your boss know what's in it for them. ...
- Be confident. ...
- Provide your request in writing.

**How do you calculate Increase example? ›**

To calculate the percentage increase between two numbers, we use the formula, **Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100**. For example, the height of an apple tree increases from 15 ft to 18 ft in a year.

**How do you calculate a 4.5 percent raise? ›**

An hourly employee who earns $27.63 an hour is being promoted and her hourly rate will increase by $1.25 per hour. Again, **divide 1.25 by 27.63** and the result is 0.045, which is 4.5 percent. Her new hourly rate will be $28.88, so double check your math.

**Will Social Security benefits increase in 2023 disability? ›**

Social Security benefits and Supplemental Security Income (SSI) payments will increase by **8.7%** in 2023. This is the annual cost-of-living adjustment (COLA) required by law.

**What changes are coming to Social Security in 2023? ›**

The most impactful change in 2023 is the **8.7% cost of living adjustment**, or COLA, which takes effect this month. For instance, if you receive $2,000 a month from Social Security, the monthly payout will rise to $2,174 per month.

**What month will Social Security increase in 2023? ›**

Social Security benefits will increase by 8.7 percent beginning with the December 2022 benefits, which are payable in January 2023. Federal SSI payment levels will also increase by 8.7 percent effective for payments made for January 2023.

**How many dollars is a good raise? ›**

It's always a good idea to ask for anywhere between **10% to 20% higher than what you're making right now**. You may be able to ask for more based on your performance, length of time with the company, and other factors. Make sure you come prepared when you negotiate your raise and be confident.

**How much is a 100% increase? ›**

An increase of 100% in a quantity means that the final amount is **200% of the initial amount** (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled.

**How much is a $1 an hour raise? ›**

Example: Starting with $1/hour. 1 x 2 = 2. So you make approximately **$2,000 a year**.

**Is 3% a cost of living raise? ›**

A cost-of-living raise can help you afford increasing expenses due to inflation, but not all employers offer these raises automatically. **For years, 2-3% has been the norm, but some employers say they're boosting that to 4%**, given the current economic climate.

### How much per paycheck is a 5000 raise? ›

That means that a $5,000 raise will be about $4,000 extra in your paycheck this year. If you break that down on a monthly basis, you'll see that that's about **$335 extra in your pocket each month**. What that also means is that if you identify $335 in monthly savings, you can actually mimic a $5,000 raise!

**Is a 3% raise every year good? ›**

What is a decent raise per year? **Your salary should increase by at least 3-5% per year**. Anything above that would be considered higher than average. Of course, the average annual increase between 2021-2022 is 7.6%, but this is partially due to abnormally high inflation rates.

**Is 2% a good pay raise? ›**

The average pay raise is 3%. **A good pay raise ranges from 4.5% to 5%**, and anything more than that is considered exceptional. Depending on the reasons you cite for a pay raise and the length of time that has passed since your last raise, you could request a raise in the 10% to 20% range.

**Is 2% a decent raise? ›**

According to a survey conducted by Pearl Meyer in May of 2022, the average base salary for employees increased by 4.8%. Between 2002 and 2022, the average base salary increase was typically about 3%. 8 That means **a respectable pay raise typically falls somewhere between 3% and 6%**, depending on the year.

**How do you get a 30% increase? ›**

**To calculate the percentage increase:**

- First: work out the difference (increase) between the two numbers you are comparing.
- Increase = New Number - Original Number.
- Then: divide the increase by the original number and multiply the answer by 100.
- % increase = Increase ÷ Original Number × 100.

**What is a 2% raise? ›**

A $2 raise is a **$4,160 raise in pay for the year**, if you are paid for a 40-hour work week, and work 52 weeks out of the year.

**What is each percent increase from $5 to $8? ›**

Find the amount of change. So, the percent increase from $5 to $8 is **60%**.

**What is the percentage increase from $1 to $2? ›**

We compare to the original $2 value, so we say the change is $1/$2 = 0.5 which is a **50%** increase.

**What percent of $6 is $8? ›**

Answer: 6 out of 8 can be expressed as **75%**.

**What is 5% of a $1000? ›**

Answer: 5% of 1000 is **50**.

### What is the increase percent if 60 is increased to 95? ›

We can now easily see that the percentage change from 60 to 95 is an increase of **58.33%**.

**What is the percent of increase from 6 to 9? ›**

6 to 9 is **36%**.

**What is the percentage increase from 5 to 20? ›**

What is the percentage change from 5 to 20? 20 is a **300%** increase of 5.

**What percent of $25 is $5? ›**

5 is **20%** of 25.

**What is the formula to calculate increase? ›**

**To calculate the percentage increase:**

- First: work out the difference (increase) between the two numbers you are comparing.
- Increase = New Number - Original Number.
- Then: divide the increase by the original number and multiply the answer by 100.
- % increase = Increase ÷ Original Number × 100.

**How much is a 10 percent raise? ›**

Here's an example: Your salary is $50,000, and you're looking for a 10% raise. First, **multiply 50,000 and 0.10.** **That equals 5,000.** **Then, add 5,000 to your current salary aka $50,000**.

**What is a 3 raise on $20 an hour? ›**

What is a 3% raise of 20? 03*20=0.6, or **60 cents**. Adding that to your current wage gives you $20.60.

**Is a 15% raise good? ›**

**It's always a good idea to ask for anywhere between 10% to 20% higher than what you're making right now**. You may be able to ask for more based on your performance, length of time with the company, and other factors. Make sure you come prepared when you negotiate your raise and be confident.

**What is a reasonable pay rise? ›**

A **3% annual pay increase** tends to be considered generous – even when inflation is higher than this. This general rule should not put you off asking for more money, however, if you think you are being underpaid.