Finding Percentage When PERCENT Is Given

Finding percentage of a number is the same as finding percentage when PERCENT is given and it is more straightforward than when percent is NOT given.

In this lesson, you will learn the step-by-step method for finding percentage when PERCENT is given.

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

Formula for finding percentage when PERCENT is given

The formula for finding percentage of a number is PERCENT over 100 times THE NUMBER over 1.

\frac{Percent}{100} × \frac{Number}{1}

Steps for finding percentage when PERCENT is given

QUESTION:

A woman pays 15% of her income as tax. If she earns #300,000, how much tax does she pay?

STEP 1.

List the values given in the question

Percent = 15%

Income: #300,000

Tax: Unknown

STEP 2.

Transfer the values into the formula

\frac{15}{100} × \frac{300,000}{1}

STEP 3.

Start simplifying

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

  • Zeros cancel zeros
\frac{15}{1} × \frac{3,000}{1}
  • Multiply the numerators and denominators
\frac{45,000}{1}
  • Divide by the denominator
\frac{45,000}{1} = 45,000

FINAL ANSWER:

A woman pays 15% of her income as tax. If she earns #300,000, how much tax does she pay?

= #45,000

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