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

FINAL ANSWER:

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

ANS = 15%

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