A percentage increase and decrease calculator helps you find how much a value has increased or decreased compared with its original value. You can also use it to calculate a new value after applying a percentage increase or decrease.
For example, you can calculate:
- the percentage increase from 200 to 260
- the percentage decrease from 500 to 400
- a 15% increase on ₹2,000
- a 20% decrease on ₹5,000
Find Percentage Increase or Decrease
Increase or Decrease a Value by a Percentage
Enter your values above to calculate the result instantly, along with the calculation steps.
What Can You Calculate With This Tool?
This calculator handles two common percentage problems.
1. Find the Percentage Increase or Decrease
Use this when you know the original value and the new value, but want to find the percentage change between them.
Example:
A price increases from ₹200 to ₹260.
- Difference = ₹260 − ₹200 = ₹60
- Percentage increase = 30%
This answers questions such as:
- What is the percentage increase?
- How much did the value increase in percentage?
- What is the percentage decrease?
- What percentage did the value drop?
- What is the percentage gain?
2. Increase or Decrease a Value by a Percentage
Use this when you know the original value and a percentage, and want to calculate the resulting value.
Example:
Increase ₹2,000 by 15%.
- 15% of ₹2,000 = ₹300
- New value = ₹2,000 + ₹300 = ₹2,300
You can also calculate reductions in the same way.
Example:
Decrease ₹2,000 by 15%.
- 15% of ₹2,000 = ₹300
- New value = ₹2,000 − ₹300 = ₹1,700
How to Calculate Percentage Increase
Percentage increase tells you how much a value has grown compared with its original value.
Percentage Increase Formula
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
Example
Suppose a product price increases from ₹500 to ₹650.
Step 1: Find the increase
₹650 − ₹500 = ₹150
Step 2: Divide the increase by the original value
₹150 ÷ ₹500 = 0.30
Step 3: Convert it to a percentage
0.30 × 100 = 30%
So, the price increased by 30%.
How to Calculate Percentage Decrease
Percentage decrease tells you how much a value has fallen compared with its original value.
Percentage Decrease Formula
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
Example
Suppose a price falls from ₹800 to ₹600.
Step 1: Find the decrease
₹800 − ₹600 = ₹200
Step 2: Divide the decrease by the original value
₹200 ÷ ₹800 = 0.25
Step 3: Convert it to a percentage
0.25 × 100 = 25%
So, the value decreased by 25%.
How to Increase a Number by a Percentage
When you want to increase a value by a known percentage, first calculate the percentage amount and then add it to the original value.
Formula
Percentage Amount = Original Value × (Percentage ÷ 100)
New Value = Original Value + Percentage Amount
Example
Increase 500 by 20%.
20% of 500:
500 × 20 ÷ 100 = 100
Add the increase to the original value:
500 + 100 = 600
So, 500 increased by 20% is 600.
You can use the calculator above for price increases, salary increases, quantity increases, growth calculations, and other similar problems.
How to Decrease a Number by a Percentage
To decrease a value by a known percentage, calculate the percentage amount and subtract it from the original value.
Formula
Percentage Amount = Original Value × (Percentage ÷ 100)
New Value = Original Value − Percentage Amount
Example
Decrease 500 by 20%.
20% of 500:
500 × 20 ÷ 100 = 100
Subtract the decrease:
500 − 100 = 400
So, 500 decreased by 20% is 400.
Percentage Increase and Decrease Formula
Here are the main formulas in one place:
| Calculation | Formula |
|---|---|
| Percentage increase | (New − Original) ÷ Original × 100 |
| Percentage decrease | (Original − New) ÷ Original × 100 |
| Increase a value by X% | Original × (1 + X ÷ 100) |
| Decrease a value by X% | Original × (1 − X ÷ 100) |
The original value is the reference point when calculating a percentage increase or decrease.
Percentage Increase vs Percentage Change
Percentage increase and percentage change are closely related, but the wording can be different depending on what you are trying to describe.
For example, if a value changes from 500 to 600:
Percentage increase:
(600 − 500) ÷ 500 × 100 = 20%
Because the new value is higher, the result is a 20% increase.
Percentage change can be expressed using the same calculation when comparing an original value with a new value. However, when discussing a general change, the result can be positive or negative to indicate the direction.
For a dedicated calculation of percentage change, see our Percentage Change Calculator.
Percentage Points vs Percentage Increase
Percentage points and percentage increase are not the same thing.
For example, suppose a rate increases from 4% to 5%.
The difference is:
5% − 4% = 1 percentage point
But the relative increase is:
(5 − 4) ÷ 4 × 100 = 25%
So the rate increased by 1 percentage point, which is a 25% relative increase.
This distinction is particularly useful when comparing percentages themselves.
Can a Percentage Increase and Decrease Cancel Each Other Out?
Not necessarily.
A percentage increase and the same percentage decrease do not usually return a value to its starting point.
For example, start with ₹1,000.
Increase by 20%
₹1,000 + 20% = ₹1,200
Now decrease ₹1,200 by 20%:
20% of ₹1,200 = ₹240
₹1,200 − ₹240 = ₹960
The final value is ₹960, not ₹1,000.
This happens because the second 20% is calculated using a different base value.
Percentage Increase and Decrease Examples
| Original Value | New Value | Result |
|---|---|---|
| 100 | 120 | 20% increase |
| 200 | 260 | 30% increase |
| 500 | 400 | 20% decrease |
| 800 | 600 | 25% decrease |
| 1,000 | 1,250 | 25% increase |
| 2,000 | 1,500 | 25% decrease |
These examples use the original value as the base for calculating the percentage increase or decrease.
Where Are Percentage Increases and Decreases Used?
Percentage increases and decreases are common in everyday calculations, including:
- Price changes: finding how much a product price increased or decreased
- Salary increases: calculating the amount and new salary after a percentage hike
- Business: measuring growth or reduction in sales and revenue
- Investments: calculating percentage gains or losses
- Discounts: finding the value after a percentage reduction
- Quantities: calculating increases or reductions in measurements
- Performance: measuring percentage improvement or decline
The same formulas can be used regardless of whether the values represent money, quantities, scores, or other numerical measurements.
Frequently Asked Questions
Subtract the original value from the new value, divide the difference by the original value, and multiply by 100.
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
Subtract the new value from the original value, divide the difference by the original value, and multiply by 100.
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
Percentage gain is calculated by dividing the gain by the original value and multiplying by 100.
Percentage Gain = (Gain ÷ Original Value) × 100
For example, if an investment increases from ₹1,000 to ₹1,200, the gain is ₹200 and the percentage gain is 20%.
Subtract the original price from the new price, divide the difference by the original price, and multiply by 100.
For example, a price increasing from ₹500 to ₹600 represents a 20% increase.
Percentage reduction is another way of describing a percentage decrease.
Percentage Reduction = ((Original Value − New Value) ÷ Original Value) × 100
For example, reducing a value from 1,000 to 800 represents a 20% reduction.
Multiply the original value by 1 + percentage ÷ 100.
For example:
₹1,000 × (1 + 20 ÷ 100) = ₹1,200
Multiply the original value by 1 − percentage ÷ 100.
For example:
₹1,000 × (1 − 20 ÷ 100) = ₹800
For a standard decrease from a positive original value to a non-negative value, the decrease cannot exceed 100%. A 100% decrease means the value has fallen to zero.