Answer: 35% decrease
Step-by-step explanation: In this problem, we're asked to find the percent decrease if the price of an item changes from $180 to $117.
To find the percent decrease, we use the following formula.
[tex]\frac{amount of change}{original number}[/tex]
The amount of change is the difference between the two numbers which in this case is 180 - 117 and the original number is the first number which is 180.
The difference between 180 and 117 is 63 and we put that over 180.
Now we have [tex]\frac{63}{180}[/tex].
Now, we either use a calculator or long division. I will use my calculator but if you don't have access to one, long division is always available.
63 ÷ 180 = 0.35
Now since we want to find the percent increase, we need to change 0.35 to a percent and we can do this by moving the decimal point two places to the right.
0.35 ⇒ 35%
So when the price changes from $180 to $117, it is decreased by 35%.
