# Percent Formula (percentage Calculator)

Calculate percentage % with Calculator made by this percent formula

 Percentage Calculator What is % of ? Answer: is what percent of ? Answer: %

# Percentage formula

Percentage formula A percentage is a numeral value or proportion expressed as a fraction of 100. For example 85% is said to be 85/100 or 0.85. The word percent means exactly “for each hundred”. During the 17th century the symbol o/o was frequently used in Europe to symbolize a percent. The percent sign “%” is used to indicate a percentage of 100. Related signs are of permille and permyriad. If someone says that the company has grown by 100% it means to grow twice as the original form because it means adding 100% to what already is present. Loosing 100% means losing all that was possessed.
Percents also provide a relative examination of quantitative information.

To express x/y as a percentage we multiple the fraction by 100 i.e. [x/y * 100].
Another very common formula to find a percentage is Percentage=(Value/Total value)*100
Example#1

35% of 100 is ___
Ans. = (35/100)*100= 35
So the answer is 35.

There are many other forms of percentages like percentage increase, percentage decrease, percentage error, percentage difference and percentage change.
-Percentage change is comparison between old value and the new value found. Formula:
Percent Change = New Value - Old Value × 100%
Old Value

Example#2
there were 100 employees yesterday and 150 employees today:
150 - 100 × 100%
100

= (50/100)*100 = 50% increase
-Percentage error is showing the error as a percent of the exact value.
Formula:
Approximate Value - Exact Value × 100%

Exact Value

Example#3
I thought 40 people will show up for my party but 30 did!
40- 30 × 100%

40
=(10/40)*100
=25%
So I was in error of 25%

-Percentage difference is the difference between two values divided by the average of the two values, displayed as a percentage. Formula:
| First Value - Second Value | × 100%
(First Value + Second Value)/2

Example#4
"Heirs clothes" gets 200 customers, and "Bayer’s Shoes" gets 240 customers
| 240 - 200 | × 100% = |40/220| × 100% = 18.18...%
(200+240)/2

The other common percentage is interest rate/compound rate. It is the rate at which interest is paid by a borrower for the use of money that they use from a lender. Each year the amount available in the bank would have increased interest on it. This is known as compound interest.
Formula
[(100 + %change)^no of years] × original value
Example# 5
If the \$500 had been left in the bank for 9 years, the quantity would have enlarged to: 500 × (1.06)9 = £845

Percentage Increase is the increase in a number in relation to its 100th value. To work out an increase you first the difference between the values you are comparing and than divide the increase by 100.

Formula
Increase = New Number - Original Number
% increase = Increase ÷ Original Number × 100.

If the value is negative, it will be considered as percentage decrease. The formula for percentage decrease is as followed:

% Decrease = Decrease ÷ Original Number × 100
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