Find the percent change from 32 to 60. State whether it is an increase or decrease.
Understand the Problem
The question is asking us to calculate the percent change when the value goes from 32 to 60 and determine if this change is an increase or a decrease.
Answer
The percent change is $87.5\%$, indicating an increase.
Answer for screen readers
The percent change from 32 to 60 is 87.5%, and this is an increase.
Steps to Solve
- Identify the original and new values
The original value is 32 and the new value is 60.
- Calculate the change in value
To find the change in value, subtract the original value from the new value: $$ \text{Change} = \text{New Value} - \text{Original Value} = 60 - 32 $$
- Perform the calculation
Calculating the change: $$ \text{Change} = 60 - 32 = 28 $$
- Calculate the percent change
The formula for percent change is given by: $$ \text{Percent Change} = \left( \frac{\text{Change}}{\text{Original Value}} \right) \times 100 $$
- Substitute the values
Using the calculated change: $$ \text{Percent Change} = \left( \frac{28}{32} \right) \times 100 $$
- Perform the calculation
Calculating the percent change: $$ \text{Percent Change} = 0.875 \times 100 = 87.5% $$
- Determine if it's an increase or decrease
Since the new value (60) is greater than the original value (32), this represents an increase.
The percent change from 32 to 60 is 87.5%, and this is an increase.
More Information
This calculation shows a significant increase of 87.5%, highlighting a strong positive change in value. Percent change is commonly used in finance, data analysis, and other fields to determine the growth or decline of a quantity.
Tips
- Confusing the new value as the original value, which can lead to incorrect calculations. Ensure you always subtract the original value from the new value.
- Forgetting to multiply by 100 when calculating percent change.
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