SOLUTION: A worker's salary was reduced by m%. What is the percent by which the new salary would have to be raised to bring it back to the original amount?

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Question 1152039: A worker's salary was reduced by m%. What is the percent by which the new salary would have to be raised to bring it back to the original amount?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the original salary be x
then the new salary is x-%28m%2F100%29x=%281-m%2F100%29x
To get back the original amount ,we find what must be multiplied to %281-m%2F100%29 to give 1.
Let the number that will be multiplied to %281-m%2F100%29 to give 1 be y, then
%281-m%2F100%29y+=+1
y+=+1%2F%281-m%2F100%29+
y+=+100%2F%281-m%29%
Therefore, the new salary must be raised by 100%2F%281-m%29% to bring it back to the original amount.