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The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

For example, if a person has 25 dollars and he gets 3 more dollars and now has 28 dollars, its percentage increase is calculated as shown:

$\begin{array}{l}\text{Increase}=28-25=3\\ \%\text{change=r,then}\\ \frac{3}{25}=\frac{r}{100}\\ r=\frac{3}{25}×100\\ =12\%\end{array}$

We are given that

Original: 41

New: 24

This is a percent of decrease because the new amount is less than the original.

We find the amount of change. And calculate the percentage change as follows:

$\begin{array}{l}\text{Decrease}=41−24=17\\ \%\text{change=r,then}\\ \frac{17}{41}=\frac{r}{100}\\ r=\frac{17}{41}×100\\ \text{r=\%change=0.4146}×100\\ \text{\%change=41.46}\\ ≈41\text{\%}\end{array}$

Rounding answer off to the nearest whole number, the percentage change is 41%