425.43 is what percent of 515 - 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 515 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 515, so we can write it down as 100%=515.
4. We know, that x% equals 425.43 of the output value, so we can write it down as x%=425.43.
5. Now we have two simple equations:
1) 100%=515
2) x%=425.43
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%=515/425.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.43 is what percent of 515

100%/x%=515/425.43
(100/x)*x=(515/425.43)*x       - we multiply both sides of the equation by x
100=1.2105399243119*x       - we divide both sides of the equation by (1.2105399243119) to get x
100/1.2105399243119=x
82.607766990291=x
x=82.607766990291

now we have:
425.43 is 82.607766990291% of 515