## the calculators section

What is the percentage increase /decrease from V1 to V2 ?

The Percentage Change Calculator is used to calculate the percentage change from one numeric value to another. If you want to calculate the increase, decrease or percentage deviation, the tool above is for you.

## The formula

Generally, if V1 represents the old value and V2 the new one, the percentage change is calculated by the following formula:

### Excel / Spreed sheets formula

=((cell2-cell1)/cell1)*100

**Steps:**

- Replace the intial value or V1 with cell1.
- And the final value or V2 with cell2.

**Calculate The Percentage of Your Rent Increase**

Your rent has just gone up. It went from € 789 to € 807.46, an increase of just under € 20. What does this percentage increase represent?

*The following formula must be used:*

(Final value - initial value) / (initial value)

here we get: (807.46 - 789) / 789 × 100 = 18.46 / 789 × 100 = 2.339

Your rent has increased by 2.34%. We can check that: 789 × 1.0234 = 807.46

**Calculate The Increase in a Price**

A current price for an item is 69.95 euros and the previous year's price is 49.20 euros. What is the percentage increase?

(69.95 - 49.20) / 49.20 × 100 = 42.175

The change from 49.20 to 69.95 in percentage represents an increase of 42.175% from 49.20.

**Calculate The Drop in Production as a Percentage from The Data in Values**

The production of a company went from 2,345 pieces per day to 1,870. What is the percentage decline in the production of this company?

(1,870 - 2,345) / 2,345 × 100 = −20,256

The decrease in production is equal to −20.26%. We can verify that:

2 345 × (1-20.26 / 100) = 2 345 × 0.7974 = 1 870.

**Calculate a Rate of Change on Negative Values**

In order to calculate a rate of change on negative values, use the absolute value of the denominator: (new-old) / |old|.

A temperature drops from -20 ° C to -45 ° C. What is the value of the percentage change rate?

(-45 - (-20)) / 20 × 100 = 125

The temperature dropped by 125%.

We can check:

125% of 20 ° C represents 25 ° C. -20 - 25 = -45 ° C is obtained.

### Calculate a Margin Rate

The margin rate is an evolution rate or a percentage variation between the selling price and the buying price of the merchant.

The margin rate is calculated on the merchant's purchase price.

Margin rate = ((Sell price - Buy price) / Buy price) × 100

**Formula Margin rate**

If a merchant sells a $ 20 item that they bought $ 15, the margin is $ 5.

Margin rate = 5/15 × 100 = 33.33%.

The rate is 33%, not 25%.