# How To Find Percentage Increase

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