42.5 is what percent of 882.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 882.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 882.5, so we can write it down as 100%=882.5.
4. We know, that x% equals 42.5 of the output value, so we can write it down as x%=42.5.
5. Now we have two simple equations:
1) 100%=882.5
2) x%=42.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=882.5/42.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.5 is what percent of 882.5

100%/x%=882.5/42.5
(100/x)*x=(882.5/42.5)*x       - we multiply both sides of the equation by x
100=20.764705882353*x       - we divide both sides of the equation by (20.764705882353) to get x
100/20.764705882353=x
4.8158640226629=x
x=4.8158640226629

now we have:
42.5 is 4.8158640226629% of 882.5