Answer:
Percent ≈ 15.3846
Explanation:
Before we continue, note that the percent decrease from 156 to 132 is the same as the percentage decrease from 156 to 132. Furthermore, we will refer to 156 as the initial value (n) and 132 as the final value (f).
So what exactly are we calculating? The initial value is 156 and then a percent is used to decrease the initial value to the final value of 132. We want to calculate what that percent is!
Here are step-by-step instructions showing you how to calculate the percent decrease from 156 to 132.
First, we calculate the amount of decrease from 156 to 132 by subtracting the final value from the initial value, like this:
156 - 132
= 24
To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:
(n × p) / 100 = Answer
In our case, we know that the initial value (n) is 156 and that the answer (amount of decrease) is 24 to get the final value of 132. Therefore, we fill in what we know in the equation above to get the following equation:
(156 × p) / 100 = 24
Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 156 to get percent (p):
(156 × p) / 100 = 24
((156 × p) / 100) × 100 = 24 × 100
156p = 2400
156p / 156 = 2400 / 156
p = 15.3846153846154
Percent ≈ 15.3846