SOLUTION: What is the percent decrease from 60 to 24?

Question 1205637: What is the percent decrease from 60 to 24?

Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
amount of decrease, 36

percent decrease,
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Answer: 60% decrease

Explanation

The formula to use is:
percent change = 100*(b-a)/a
where,
a = start value
b = end value

The b-a up top represents the change from a = 60 to b = 24
This is a change of -36 since b-a = 24-60 = -36
The negative result indicates a percent decrease.
Divide this change over the original amount a = 60 to get -36/60 = -0.60

Then we multiply by 100 to convert to a percentage.
It is equivalent to moving the decimal point 2 spots to the right.
0.60 becomes 60%

Here is the calculation in one line
100*(b-a)/a = 100*(24-60)/60 = -60
Then erase the negative sign and stick on a percent sign at the end.

Check:
60% of 60 = 0.60*60 = 36
Decreasing by 60% means we lose 36, so 60-36 = 24 which confirms we have the correct answer.

Another way to check:
If you get a 60% discount then you pay the remaining 40%
The start price $60 becomes 0.40*60 = 24 dollars

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