852.9 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 852.9 of the output value, so we can write it down as x%=852.9.
5. Now we have two simple equations:
1) 100%=925
2) x%=852.9
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%=925/852.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 852.9 is what percent of 925

100%/x%=925/852.9
(100/x)*x=(925/852.9)*x       - we multiply both sides of the equation by x
100=1.0845351154883*x       - we divide both sides of the equation by (1.0845351154883) to get x
100/1.0845351154883=x
92.205405405405=x
x=92.205405405405

now we have:
852.9 is 92.205405405405% of 925