Question

How do you convert $0.0075$ to a percent?

Answer 1

Hint: Here we will follow the following steps for converting a decimal into a percentage. We will not only give you the answer $0.0075$ as a percentage but also explain what it means to convert the decimal number to percent and show you how to do it.

Complete step-by-step solution:
“Percent” means “per 100” or “over 100”.
In everyday life, we often use percentages to express the amount of something relative to the whole.
A percent is a ratio expressed as a fraction of $100$, so the whole is equal to . In math and science however, decimals are more frequently used to express portions.
When using decimals, we consider the whole.
Look at the decimal number $0.0075$as $0.0075$out of one.
Furthermore, percent means per hundred. So the task is to convert $0.0075$out of one to $0.0075$ out of one hundred.
The equation to solve the problem is displayed below where $x$ is the $0.0075$ as percentage.
\[ \Rightarrow \dfrac{{0.0075}}{1} = \dfrac{x}{{100}}\]
We solve the equation for $x$ above by first multiplying each side by one and then multiplying each side by one hundred.

Thus the answer to $0.0075$ as a percentage is $0.75\% $

Note: Now that you know the underlying process and explanation behind it, note that the shortcut to converting $0.0075$ to percent is simply to multiply $0.0075$ by one hundred to get the answer$0.0075 \times 100 = 0.75\% $.
Another shortcut that is also easy to remember to get a decimal number like $0.0075$ as a percentage is to move the decimal point two places to the right and add the percent $\% $ sign.