For finding percentage increase, the same steps used in calculating percentage gain is followed.

In this lesson, you will learn the step-by-step method for finding percentage increase with a solved example.

BONUS:A link to practice questions on percentage is included at the end of this lesson.

## Formula for percentage increase

The formula for calculating percentage increase is INCREASE over ORIGINAL AMOUNT times 100 over 1

\frac{Increase}{Original Amount} × \frac{100}{1}

## Steps for finding percentage increase

### Let’s take a question on percentage increase:

QUESTION:A monthly income was increased from #43,000 to #49,450. Calculate the percentage increase.

## STEP 1.

### Find the increase FIRST

FORMULA:Increase = New Amount – Original Amount

= 49,450 – 43,000

= #6,450

## STEP 2.

### List the values in the question

Percentage: unknown

Increase: #6,450

Original amount: #43,000

## STEP 3.

### Transfer the values into the formula

\frac{6,450}{43,000} × \frac{100}{1}

## STEP 4.

### Start simplifying

Use the steps in the multiplication of fractions and simply to your answer.

- Zeros cancel zeros

\frac{6,450}{430} × \frac{1}{1}

- Zero cancels zero

\frac{645}{43} × \frac{1}{1}

- Multiply horizontally

\frac{645}{43}

- Divide by the denominator

\frac{645}{43} = 15

FINAL ANSWER:A monthly income was increased from #43,000 to #49,450. Calculate the percentage increase.

ANS = 15%

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