482.5 is what percent of 417.5 - 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 417.5 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 417.5, so we can write it down as 100%=417.5.
4. We know, that x% equals 482.5 of the output value, so we can write it down as x%=482.5.
5. Now we have two simple equations:
1) 100%=417.5
2) x%=482.5
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%=417.5/482.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.5 is what percent of 417.5

100%/x%=417.5/482.5
(100/x)*x=(417.5/482.5)*x       - we multiply both sides of the equation by x
100=0.86528497409326*x       - we divide both sides of the equation by (0.86528497409326) to get x
100/0.86528497409326=x
115.56886227545=x
x=115.56886227545

now we have:
482.5 is 115.56886227545% of 417.5