What is the percent change from 36 to 99?
The Correct Answer and Explanation is :
To calculate the percent change from 36 to 99, we can use the following formula:
[
\text{Percent Change} = \frac{\text{New Value} – \text{Old Value}}{\text{Old Value}} \times 100
]
Step 1: Identify the Old and New Values
In this case:
- Old Value = 36
- New Value = 99
Step 2: Calculate the Change
Now, we can find the change in value:
[
\text{Change} = \text{New Value} – \text{Old Value} = 99 – 36 = 63
]
Step 3: Apply the Formula
Next, we can substitute the values into the percent change formula:
[
\text{Percent Change} = \frac{63}{36} \times 100
]
Calculating this:
[
\text{Percent Change} = 1.75 \times 100 = 175\%
]
Conclusion
The percent change from 36 to 99 is 175%.
Explanation of Percent Change
Percent change is a useful metric to quantify the degree of change over time in various contexts, such as economics, finance, or data analysis. It provides a clear picture of how much a quantity has increased or decreased relative to its initial value.
In our example, a percent change of 175% indicates a significant increase in value. This can reflect various real-world scenarios, such as price changes in a market or shifts in data points. When interpreting this percentage, it’s essential to understand that the old value serves as the baseline. A large percent change, especially one exceeding 100%, signifies that the new value is more than double the old one.
Understanding percent change helps in decision-making processes. For instance, in business, it aids in assessing performance or evaluating the impact of marketing strategies. It can also assist individuals in personal finance, such as tracking investment growth or understanding changes in salary over time.