Final answer:
The percent change from 76 to 57 is a 25% decrease, calculated by finding the difference between both values, dividing by the original value, and then multiplying by 100.
Step-by-step explanation:
To determine the percent change from one value to another, we calculate the difference between the two values, divide that by the original value, and then multiply by 100. The equation for percentage change can be expressed as:
Percentage change = (Change in quantity / Original quantity) × 100%
In the example given, we're looking at a change from 76 to 57. Therefore, we can plug these values into our equation:
- Change in quantity = Original quantity - New quantity
- Change in quantity = 76 - 57 = 19
Now we use the original quantity (76) for the calculation:
- Percentage change = (19 / 76) × 100%
- Percentage change = 0.25 × 100%
- Percentage change = 25%
To state whether there is an increase or decrease, we look at whether the new number is higher or lower than the original. In this case, the number has decreased from 76 to 57, which means there is a decrease of 25%.