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A politician’s support grew from 42% by 3 percentage points to 45%. What percent (relative) change is this?

User Be
by
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1 Answer

4 votes

Answer:

The percent (relative) change is 7.14 percent (%).

Explanation:

We are given that the original support value is at 42%.

Then the support increased by 3%, to reach 45%.

We want the Percentage Change (i.e. relative) change of this increase, which can be computed as:


(X_(F)-X_(O))/(X_(O))*100

where
X_(F) is the final value reached


X_(O) is the original value

So plugging in our known values and computing we have:


(45-42)/(42)*100= (3)/(42)*100 = 0.071428*100=7.14 percent increase.

Now lets go back and check if we are correct.


42+42(7.14)/(100)=42+2.9988=42+3=45

So it works!

User Thisara Subath
by
7.3k points
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