417.5 is what percent of 506.5 - 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 506.5 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 506.5, so we can write it down as 100%=506.5.
4. We know, that x% equals 417.5 of the output value, so we can write it down as x%=417.5.
5. Now we have two simple equations:
1) 100%=506.5
2) x%=417.5
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%=506.5/417.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.5 is what percent of 506.5

100%/x%=506.5/417.5
(100/x)*x=(506.5/417.5)*x       - we multiply both sides of the equation by x
100=1.2131736526946*x       - we divide both sides of the equation by (1.2131736526946) to get x
100/1.2131736526946=x
82.428430404738=x
x=82.428430404738

now we have:
417.5 is 82.428430404738% of 506.5