To determine the percent of change, we can use the formula:
\[ \text{Percent of Change} = \frac{\text{Change}}{\text{Original Value}} \times 100 \]
In this case, we want to find the change in price from the cost to the selling price.
-
Identify the original value (the cost of the device) and the new value (the selling price):
- Original Value = \( 558 \)
- New Value = \( 1499 \)
-
Calculate the change: \[ \text{Change} = \text{New Value} - \text{Original Value} = 1499 - 558 = 941 \]
-
Now we can fill in the proportion: \[ \text{Change}/100 = 941/? \quad \text{and } \quad 558 \text{ is the original value} \] So, the proportion is: \[ 941/100 = 558/? \]
From the calculation above, we already found the change to be \( 941 \).
- Now we can calculate the percent of change: \[ \text{Percent of Change} = \frac{941}{558} \times 100 \approx 168.5% \]
Rounding to the nearest whole percent gives us:
\[ \text{Percent of Change} \approx 169% \]
Final answers:
- The completed proportion is \( 941/100 = 558/? \)
- The percent of change is approximately 169%.