Find the percent increase from 15 to 18
The Correct Answer and Explanation is :
To calculate the percent increase from 15 to 18, you can follow these steps:
Step 1: Find the Difference
First, subtract the initial value (15) from the new value (18) to find the difference:
[
\text{Difference} = 18 – 15 = 3
]
Step 2: Divide the Difference by the Original Value
Next, divide the difference (3) by the original value (15):
[
\frac{\text{Difference}}{\text{Original Value}} = \frac{3}{15} = 0.2
]
Step 3: Convert the Result to a Percentage
Finally, to convert the result into a percentage, multiply the result by 100:
[
0.2 \times 100 = 20\%
]
Conclusion
The percent increase from 15 to 18 is 20%.
Explanation:
A percent increase measures how much a number has grown compared to its original value. It’s useful for understanding changes in quantities, especially when dealing with things like prices, sales, or other measurable factors.
- Finding the Difference: The difference shows how much the value has increased. In this case, the new value (18) is 3 units higher than the original value (15).
- Dividing by the Original Value: Dividing the difference by the original value puts the change in perspective. By dividing 3 by 15, we understand how the increase compares to the starting value. In this case, the difference is 0.2, which represents 20% of the original value.
- Multiplying by 100: To express this change as a percentage, we multiply by 100. This is a standard method to convert a decimal into a percentage.
Understanding percent increases is important for a variety of tasks, including calculating markups, tracking business performance, or interpreting financial data. The key is always to find the difference first, divide by the original value, and then convert to a percentage.