10362.5 is what percent of 425000 - 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 425000 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 425000, so we can write it down as 100%=425000.
4. We know, that x% equals 10362.5 of the output value, so we can write it down as x%=10362.5.
5. Now we have two simple equations:
1) 100%=425000
2) x%=10362.5
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%=425000/10362.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10362.5 is what percent of 425000

100%/x%=425000/10362.5
(100/x)*x=(425000/10362.5)*x       - we multiply both sides of the equation by x
100=41.013268998794*x       - we divide both sides of the equation by (41.013268998794) to get x
100/41.013268998794=x
2.4382352941176=x
x=2.4382352941176

now we have:
10362.5 is 2.4382352941176% of 425000