Algebra - How to find the part from the whole with percentage

What is seventy percent of seventy?

Explanation

Write the term seventy percent. This can be rewritten as a decimal by removing the percent sign sign and move the decimal place back two spaces.

Additionally, we can also choose to rewrite the seventy percent into a fraction out of 100 parts, which can be reduced to seven-tenths:

$\frac{70}{100} = \frac{7}{10}$

The word "of" means multiply.

Multiply $\frac{7}{10}$ with .

$\frac{7}{10}\cdot 70 = \frac{7}{1} \cdot 7 = 49$

The answer is .

What is 64% of 86?

Explanation

First, write 64% as a decimal. Just move the decimal point of 64% two digits to the left and then eliminate the % so that we get 0.64. Thus, 64%=0.64. Then multiply that 0.64 by 86

$0.64\times 86=55$

So 55 is 64% of 86.

If $0\small .304$ of the student body is female, what is the percentage of males?

$\small 69.6%$

$\small 69.4%$

$\small 30.4%$

$0\small .15%$

$\small 14$

Explanation

If $0\small .304$ of the student body is female, this is equivalent to $\small 30.4%$ . Since $\small 100%$ is the whole, $\small 100% - 30.4% = 69.6%$ . Thus $\small 69.6%$ is not female.

Alternatively, if $0\small .304$ is not male, then the rest must be male, so $\small 1 - 0.304 =$ $\small 0.696$ . Then we can convert that decimal to a percentage, $\small 69.4%$ .

As of the middle of August, Magnus had saved of his total travel budget. If Magnus has a goal of saving , how much does he have left to save?

Explanation

As of the middle of August, Magnus had saved of his total travel budget. If Magnus has a goal of saving , how much does he have left to save?

There are two ways to go about doing this, and both of them require you to look for what is actually being asked. The question asks you for how much he has left to save. This means that we are not looking for , we are looking for of the savings goal. So, the simpler way to solve this is to do the following:

$$6500\cdot .26=$1690$

Note, we also could have found of and then subtracted that from . Using this method would have yielded the exact same answer as the other method.

What is six percent of five?

$\frac{3}{10}$

$\frac{1}{6}$

$\frac{1}{3}$

Explanation

Write six percent in either fractional or decimal form. A percentage is a number out of 100 parts.

$\frac{6}{100} = 0.06$

Multiply either number with five to find the part from the whole.

$0.06\times 5 = 0.3$

This value can also be expressed as:

$\frac{0.3}{1} = \frac{3}{10}$

The answer is: $\frac{3}{10}$

What number is forty percent of thirty five?

Explanation

A percentage is some number out of 100. Set up an equation to find the missing number.

$x=(\frac{40}{100}) \cdot 35$

Simplify this equation.

$x=(\frac{2}{5}) \cdot 35 = 2(7)=14$

The answer is:

Choose the correct answer.

What is $\small 30%$ of $\small 100$ .

$\small 30$

$\small 300$

$0\small .30$

$0\small .70$

$\small 35$

Explanation

To find a part of the whole number, you multiply the percentage in decimal form against the whole number. The first step is to convert the percentage into a decimal, $\small 30%$ to $0\small .30$ . Then multiply the decimal against the whole number, $0\small .30\times100 = 30$ .