837.5 is what percent of 925 - 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 925 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 925, so we can write it down as 100%=925.
4. We know, that x% equals 837.5 of the output value, so we can write it down as x%=837.5.
5. Now we have two simple equations:
1) 100%=925
2) x%=837.5
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%=925/837.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 837.5 is what percent of 925

100%/x%=925/837.5
(100/x)*x=(925/837.5)*x       - we multiply both sides of the equation by x
100=1.1044776119403*x       - we divide both sides of the equation by (1.1044776119403) to get x
100/1.1044776119403=x
90.540540540541=x
x=90.540540540541

now we have:
837.5 is 90.540540540541% of 925