91Ó°ÊÓ

When you're working with percentages, converting them to decimals is a crucial step. Consider the percentage as a fraction of 100. This simply means dividing the given percentage by 100. So, for 80%, you would do the following calculation: 80% means 80 out of 100, which can be written mathematically as: 80% = \( \frac{80}{100} \). To perform this division, divide 80 by 100, resulting in 0.80.
Converting percentages to decimals makes it easier to work with them in equations and other mathematical problems. It's a standard practice you’ll frequently use, helping create a smoother flow in calculations.

Once you've converted the percentage to a decimal, the next step is setting up your equation. This equation will help you relate the given percentage to a whole number. In our example, you converted 80% to 0.80.
Now, to find 80% of 920, you set up the equation as follows: \( 0.80 \times 920 = ? \).
By doing this, you're translating the relationship between the percentage and the whole number into a mathematical form that can be solved. Setting up equations correctly is essential because it allows you to solve the problem accurately and efficiently.

Lastly, let's translate the problem into a proportion. Proportions involve comparing two ratios. Here, we have two main pieces: the percentage (80%) and the whole quantity (920).
The equation you set up in the previous step can be written in proportional form. You would compare the 80% to 100%, and the unknown value (let's call it \( x \)) to 920. This gives you the proportion: \( \frac{80}{100} = \frac{x}{920} \).
Setting the problem as a proportion helps visualize the relationship between the parts and the whole. Solving proportions involves cross-multiplying for the unknown variable. Though in this problem we're simply setting it up, understanding this concept is key in a variety of mathematical contexts.