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

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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