Finding Percentage When PERCENT Is NOT Given

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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