To find a percentage of a whole, we simply multiply the percentage and the whole number together.  So,

12% of 76

can be written as

\(\displaystyle 0.12 \cdot 76\)

If we multiply this out, we get 9.12.

Therefore, 12% of 76 is 9.12.

Write \(\displaystyle 35\%\) as a fraction.

\(\displaystyle 35\% = \frac{35}{100}\)

Multiply this fraction by ten.

\(\displaystyle \frac{35}{100} \cdot 10= \frac{35}{10}\)

Reduce this fraction by finding its multiples.

\(\displaystyle \frac{35}{10} = \frac{5 \times 7}{5 \times 2} = \frac{7}{2}\)

The answer is \(\displaystyle \frac{7}{2}\).

Convert the percentage into a decimal by moving the decimal place back two spaces.

\(\displaystyle 25\% = 0.25\)

This number is also recognized as \(\displaystyle \frac{1}{4}\).

Multiply this number with twenty five.

\(\displaystyle \frac{1}{4}(25) = \frac{25}{4}\)

The answer is:  \(\displaystyle \frac{25}{4}\)

Ten percent is ten out of 100 parts.

\(\displaystyle 10\% = \frac{10}{100}\)

This fraction can be reduced to \(\displaystyle \frac{1}{10}\).

Multipy this fraction with twenty.

\(\displaystyle \frac{1}{10} \cdot 20 = 2\)

The answer is:  \(\displaystyle 2\)

The graduation rate among seniors at a local high school is \(\displaystyle 88\%\) . If there are 545 seniors, how many of  them will not graduate?

To answer this question, we need to be careful how we set it up, and careful that we answer the correct question.

We need to find the number of senior who will not graduate. Not the number who will.

To do so, we can first find the percentage who will not graduate. This will be:

\(\displaystyle 100\%-88\%=12\%\)

Next, change our percent to a decimal:

\(\displaystyle 12\%=.12\)

Finally, multiply our total number of seniors by the decimal we just got to get:

\(\displaystyle 545*.12=65.4\approx65\)

So our answer is 65.

The graduation rate among seniors at a local high school is \(\displaystyle 88\%\) . If there are 545 seniors, how many of  them will not graduate?

To answer this question, we need to be careful how we set it up, and careful that we answer the correct question.

We need to find the number of senior who will not graduate. Not the number who will.

To do so, we can first find the percentage who will not graduate. This will be:

\(\displaystyle 100\%-88\%=12\%\)

Next, change our percent to a decimal:

\(\displaystyle 12\%=.12\)

Finally, multiply our total number of seniors by the decimal we just got to get:

\(\displaystyle 545*.12=65.4\approx65\)

So our answer is 65.

A percentage is a value over 100 parts.  

Forty percent is:  \(\displaystyle 40\% = \frac{40}{100} = \frac{2}{5}\)

Multiply this fraction with 800.

\(\displaystyle \frac{2}{5} \cdot 800 = \frac{1600}{5}\)

Reduce the fraction.  

\(\displaystyle \frac{1600}{5} = 320\)

Forty percent of 800 is 320.

The answer is:  \(\displaystyle 320\)

Ten percent is ten out of 100 parts.

\(\displaystyle 10\% = \frac{10}{100}\)

Reduce the fraction to \(\displaystyle \frac{1}{10}\).

Multipy this fraction with three.

\(\displaystyle \frac{1}{10} \cdot 3 = \frac{3}{10}\)

The answer is:  \(\displaystyle \frac{3}{10}\)

To find a percentage of a whole, we simply take the percentage and multiply it by the whole number.  In other words

\(\displaystyle 13\% \cdot 96\)

\(\displaystyle 0.13 \cdot 96\)

\(\displaystyle 12.48\)

Therefore, 13% of 96 is 12.48.

Set up the equation such that a percentage of \(\displaystyle 4\) is \(\displaystyle 11\).

A percentage is some number out of \(\displaystyle 100\).

\(\displaystyle (\frac{x}{100})(4) = 11\)

Multiply \(\displaystyle 100\) on both sides to eliminate the denominator.

\(\displaystyle 4x=1100\)

Divide by four on both sides.

\(\displaystyle \frac{4x}{4}=\frac{1100}{4}\)

Simplify both sides. The answer is,

\(\displaystyle x=275\)