Finding percentage when PERCENT is NOT given is less straightforward than when percent is given.

In this lesson, you will learn the step-by-step method for finding percentage when PERCENT is NOT given.

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

## Formula for finding percentage when PERCENT is NOT given

The formula for finding percentage when percent is not given is PART over TOTAL times 100 over 1.

\frac{Part}{Total} × \frac{100}{1}

## Steps for finding percentage when PERCENT is NOT given

QUESTION:If a woman earning #300,000 pays #45,000 as tax. What percentage of her earning does she pay as tax?

## STEP 1.

### List the values given in the question

Part = #45,000

Total: #300,000

Percent: ??

## STEP 2.

### Transfer the values into the formula

\frac{45,000}{300,000} × \frac{100}{1}

## STEP 3.

### Start simplifying

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

- Zeros cancel zeros

\frac{45,000}{3,000} × \frac{1}{1}

- Zeros cancel zeros again

\frac{45}{3} × \frac{1}{1}

- Multiply the numerators and denominators

\frac{45}{3}

- Divide by the denominator

\frac{45}{3} = 15

FINAL ANSWER:

If a woman earning #300,000 pays #45,000 as tax. What percentage of her earning does she pay as tax?

= 15%

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