Mathematics calculator

Percentage Change Calculator

Apply a known percentage increase or decrease to a starting value and see both the adjustment and final value.

Calculator inputs

Enter your values

Adjust a value
Calculated output

Result summary

Your result will appear here

Complete the required fields and select the calculate button.

A starting amount with a percentage adjustment leading to a final amount
The entered rate is applied once to the starting value.

What is Percentage Change?

This Percentage Change Calculator applies a chosen percentage increase or decrease to a starting number. It answers questions such as “What is 15% more than 240?” or “What remains after reducing 80 by 12.5%?” It is suited to price adjustments, budgets, measurements, targets, and other situations where the rate of change is already known.

This page does not discover the rate between two observed amounts. The first field is the starting value and the second field is the percentage to apply. Choose Increase or Decrease to set the direction.

How to Use This Calculator

  1. Enter the starting amount in First Value.
  2. Enter the percentage rate in Second Value as a number. For 7.5%, enter 7.5 rather than 0.075.
  3. Choose Increase to add that share of the starting value, or Decrease to subtract it.
  4. Select Calculate to see the adjusted value and the selected change type.

The percentage is always based on the starting value. A 20% increase multiplies it by 1.20; a 20% decrease multiplies it by 0.80. A decrease above 100% can produce a negative mathematical result, which may make sense for some balances but not for prices, quantities, or physical measurements.

Formula Used

Increased value = starting value × (1 + rate ÷ 100)

Decreased value = starting value × (1 − rate ÷ 100)

The amount added or removed is starting value × rate ÷ 100. These formulas apply the rate once. Repeated changes require a separate multiplication for every period.

Variables Explained

EntryMeaningExample
First ValueThe amount before the adjustment.240
Second ValueThe nonnegative percentage rate to apply.15 means 15%
Increase or DecreaseWhether the calculated share is added or subtracted.Increase
ResultThe value after one adjustment.276

Worked Example

A service costs $240 before a 15% increase. The added amount is 240 × 15 ÷ 100 = 36. Add it to the starting value: 240 + 36 = 276. Enter 240, 15, and Increase to obtain 276.

For a decrease, suppose a 160-unit allowance is cut by 12.5%. The reduction is 160 × 0.125 = 20, leaving 140. Enter 160, 12.5, and Decrease. The percentage field holds the rate, not the desired final value.

Why Use This Calculator?

The output is the adjusted amount, rather than the percentage itself. Keep its unit from the starting figure: dollars remain dollars, kilograms remain kilograms, and points remain points. Add that unit when copying the answer elsewhere.

Percentage changes compound when applied repeatedly. Two 10% increases turn 100 into 121, not 120, because the second increase is based on 110. An increase and an equal decrease also do not cancel: 100 increased by 20% becomes 120, then a 20% decrease leaves 96.

Before applying a rate, check what the published percentage includes. A listed discount may apply before tax, a salary adjustment may exclude allowances, and a growth target may refer to volume rather than revenue. Apply several independent adjustments in the order they occur because each step creates a new base. For example, increasing 200 by 10% gives 220; reducing that by 5% gives 209. This differs from treating the rates as a single 5% increase, which would give 210. If a cap, minimum, or fixed fee also applies, calculate the percentage step first or last according to the stated rule. Write down each step when carefully checking a quotation or budget.

Common Mistakes

  • Entering 0.15 for 15%; the field expects 15.
  • Using the target amount as the percentage field.
  • Selecting Decrease when the amount should be added.
  • Assuming repeated changes can simply be added together.
  • Dropping the unit when presenting the adjusted result.
  • Using this tool to find an unknown change rate between two observations.

Frequently Asked Questions

What should I enter for 8 percent?

Enter 8. The calculator divides the entered rate by 100 as part of the calculation.

Can I use a decimal percentage?

Yes. A rate such as 2.75% can be entered as 2.75, which is useful for tax, fees, or precise adjustments.

Can the starting value be negative?

The calculation accepts a negative starting value, but interpretation depends on context. A liability or temperature may behave differently from a price.

Why did a decrease above 100% produce a negative number?

Subtracting more than the entire starting amount passes zero. Check whether such a decrease is meaningful for the quantity you are studying.

Is the output the amount of change?

The displayed result is the new value after the change. Subtract the start from the result if you also need the amount added or removed.

Do two 5 percent increases equal 10 percent?

Not exactly when applied one after another. Compounding gives 1.05 × 1.05 = 1.1025, which is a 10.25% total increase.

How do I reverse a percentage increase?

Divide the increased value by 1 plus the rate as a decimal. A simple decrease by the same rate will not return the original value.

Sources & References