Flexi Says:
Apercent is a ratio that describes a quantity out of 100. A percent is also a part of a whole. Finding the percent of a number is the part of a number that is equivalent to the percent.
Steps to find the percentage of a number - Method 1
Let's, find 1% of 8000000000 using proportion.
First, write the percent as a fraction. 1% is also 1 out of 100.
@$$\begin{align*}1\%=\frac{1}{100}\end{align*}@$$
Next, write a proportion to find the equivalent fraction of 1% of 8000000000. The second fraction is the unknown quantity, represented by@$\begin{align*}x\end{align*}@$, over the whole, 8000000000.
@$$\begin{align*}\frac{1}{100}=\frac{x}{8000000000}\end{align*}@$$
Now, cross-multiply to find the cross-product. To cross-multiply, multiply thenumerator of one fraction with the denominator of the other fraction. The products should be equal.
@$$\begin{align*}1(8000000000)=100x\end{align*}@$$
Finally, simplify the equation to solve for @$\begin{align*}x\end{align*}@$. Multiply 1 by 8000000000 and divide both sides by 100.
@$$\begin{align*}1(8000000000)&=100x\\[6pt]\frac{8000000000}{100}&=\frac{100x}{100}\\[6pt]80000000&=x\end{align*}@$$
Hence, 1% of 8000000000 is 80000000.
Steps to find the percentage of a number - Method 2
Another method is to use keywords and multiplication. Let's look again at the problem.
What is 1% of 8000000000?
First, look for keywords that suggest an operation. The word "of" tells you to multiply 8000000000 by 1%.
Next, convert 1% to a decimal.
@$$\begin{align*}1\%=0.01\end{align*}@$$
Then, write an equation to find the unknown number, @$\begin{align*}x\end{align*}@$.
@$$\begin{align*}x=8000000000\times 0.01\end{align*}@$$
Finally, solve for @$\begin{align*}x\end{align*}@$ by multiplying 8000000000 by 0.01.
@$$\begin{align*}x=8000000000\times 0.01=80000000\end{align*}@$$ The answer is the same. 1% of 8000000000 is 80000000.
Steps to find the percentage of a number - Method 3
The relationship@$\begin{align*}\text{percent} = \frac{\text{part}}{\text{whole}}\end{align*}@$ can be used to solve for a percent using the part and the whole. By multiplying the whole by the other side you get the following equation:@$$\begin{align*}\text{percent} \cdot \text{whole}= \text{part}\end{align*}@$$
Step 1: Divide the percentage by 100.
Step 2: Multiply the result by the number you want to find the percentage of.
For example, find 1% of 8000000000.
Part = ?
Whole = 8000000000.
Percent = @$\begin{align*}1\% \rightarrow \frac{1}{100}.\end{align*}@$
@$$\begin{align*}\text{Percent} \cdot \text{Whole}& = \text{Part} \\\frac{1}{100} \cdot 8000000000 & = \text{Part} \\80000000 & = \text{Part}\end{align*}@$$
∴ 1% of 8000000000 is 80000000.
To learn more about percentages, click here!