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Percentages are used to express how large or small one quantity is relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity. For example, an increase of $0.15 on a price of $2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase. While percentage values are often between 0 and 100 there is no restriction and one may, for example, refer to 111% or −35% in complex calculation of percentage.

**Examples:**

A shop keeper sells and earns profit that is expressed proportionate to purchase price like:

**Example 1: **

Item A:

Purchase price = $100

Sale Price = $125

Profit = $25

**Profit percentage** = 25%

**Example 2:**

Item B:

Purchase price = $100

Sale Price = $95

Profit = $-5

**Profit percentage** = -5% (Loss)

**Example 3:**

Item C:

Purchase price = $100

Sale Price = $250

Profit = $150

**Profit percentage** = 150%

**Examples how to calculate percentage difference**

If you want find the different between percent Z and percent Y you should

(Z-Y)/Z x100.

Example 1:

We want to know the **percentage difference** between $30 and $80

30 minus 80 divided 30 multiplied by 100

(30$-80$) / 30 x 100 or 1.666666666666667 x 100 = 1.666666666666667%

Example 2:

Example 2:

We want to know the **percentage difference** between 75% and 125%

125% minus 75% divided 75% multiplied by 100

(125-75) / 75 x 100 or 0.6666666666666667 x 100 = 66.66666666666667%

Try our **percentage difference calculator**

**To calculate percentage** is not only a mathematical trick, we must understand its application in our day to day routine. While discussing percentage we often come across increase or **decrease in percentage**. This especially stands prominent while carrying out analysis to reach out logical conclusion. Sometimes due to inconsistent usage, it is not always clear from the context what a percentage is relative to. When speaking of a “10% rise” or a “10% fall” in a quantity, the usual interpretation is that this is relative to the *initial value* of that quantity which is called **percentage difference**. For example, if an item is initially priced at $200 and the price rises 10% (an increase of $20), the new price will be $220. Note that this final price is 110% of the initial price (100% + 10% = 110%). Generally percentages of one kind of quantity can be simply added or difference between them calculated give fairly accurate result, however altering basic type of quantities can lead to error.

- 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.
- An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
- A decrease of 60% means the final amount is 40% of the original (100% − 60% = 40%).
- A decrease of 100% means the final amount is
*zero*(100% − 100% = 0%).

Another illustration given below will mark the **percentage difference**:

An industrialist announces 15% increase in weekly wages of its employees drawing $200 per week. After a month he owner withdraws the privilege publishes sad news of decreasing 15% weekly wages for same employees. What weekly salary will employees be drawing in both cases ?

**Solution:**

Weekly salary = $200

Increase (15%)= $200/100*15=$30

Increased salary=$200+$30=$230

An employee would be entitled to draw $230 per week with increase of 15%.

Now see the decrease:

New weekly salary = $230

Decrease (15%)=$230/100*15=$34.5

Revised salary=$230-$34.5=$195.5

An employee would be entitled to draw $195.5 per week with decrease of 15%.

From this example we can understand behavior of **percentage calculation** with reference to change in quantity i.e. increase and decrease.

In general, a change of X percent in a quantity results in a final amount that is 100+X percent of the original amount (equivalently, 1+ 0.01 X times the original amount). This goes a bit farther and takes jumps towards understanding in terms of economics.

You ca easy calculate percentage difference with our **percentage different calculator**.

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